Evolution Equations and Control Theory

Article	Citations
Boundary exact controllability for the longitudinal vibrations of a bar in memoriam to Professor Luiz Adauto Medeiros	15
Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator	15
Blow-up phenomena of boundary delay effects in nonlinear logarithmic wave dynamics	14
Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system	12
Optimal control for a free boundary tumor growth model	11
Fast rates and strong convergence towards the minimum norm solution of dynamic trajectories with Tikhonov regularization for convex minimization under linear constraints	11
Nonlinear continuous data assimilation	10
Optimal polynomial thermoelastic stability of a composite material	10
Stability properties for a problem of light scattering in a dispersive metallic domain	10
Continuity in the fractional order and convergence results for pseudo-parabolic equations with fractional derivative and exponential non-linearity	9
Singular limits and dynamics for the abstract Timoshenko system	9
Global existence and exponential stability of a fractionally damped logarithmic Lamé system with infinite memory	8
On the Laplace equation with non-local dynamical boundary conditions	8
On a quasilinear fully parabolic chemotaxis-type solow-swan model with indirect signal	8
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions	7
On a stochastic differential equation with correction term governed by a monotone and Lipschitz continuous operator	7
Controllability results for Sobolev type $ \psi - $Hilfer fractional backward perturbed integro-differential equations in Hilbert space	7
Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement	7
An initial-boundary value problem describing moisture transport in porous media: Existence of strong solutions and an error estimate for a finite volume scheme	7
Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces	7
Optimal control of time-periodic solutions to quasi-variational evolution equations	7
Global solutions to a chemotaxis-consumption model with signal-dependent motility	7
On the internal and boundary stabilization of a nonlinear suspension bridge system: Exponential and polynomial decay rates	7
On the exponential stabilization of a semilinear Timoshenko beam system via locally distributed delayed damping	6
Rich dynamics of an age-structured predator-prey model with double time delays and prey-infection	6

<inline-formula><tex-math id="M1">$ H^\infty $</tex-math></inline-formula>-control problem for a singular parabolic system with convection	6
A new PDE-Constrained optimization applied to image denoising	6
A source inverse problem for semilinear nonlocal pseudo-parabolic equations with nonlinear intensity	6
Nonlinear logarithmic wave equations: Blow-up phenomena and the influence of fractional damping, infinite memory, and strong dissipation	6
Temporal periodic solutions for fractional evolution equations with nonlinear source terms	6
Existence of strong solutions for a compressible fluid-solid interaction system with Navier slip boundary conditions	6
Addendum to "Carleman estimates for parabolic equations with super strong degeneracy in a set of positive measure": Bibliographical notes and clarifications	6
Robust model reductions for the boundary feedback stabilization of magnetizable piezoelectric beams	5
Approximate controllability of impulsive fractional neutral hemivariational inequality with infinite delay via an approximating technique	5
Existence and robustness results of attractors for partially-damped piezoelectric beams	5
Controllability of nonlinear systems involving two fractional derivatives with noninstantaneous impulses	5
Analysis and simulation of an adhesive contact problem governed by fractional differential hemivariational inequalities with history-dependent operator	5
Controllability of a backward stochastic cascade system of coupled parabolic heat equations by one control force	5
Fractional differential equations of a reaction-diffusion SIR model involving the Caputo-fractional time-derivative and a nonlinear diffusion operator	5
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities	5
Stabilization of an interconnected system of Schrödinger and wave equations with boundary coupling	5
Approximate controllability of nonconvex-valued semilinear differential inclusions with nonlocal conditions	4
Stabilization with decay estimate of infinite dimensional second order systems by bilinear control damping	4
Von Karman thermoelastic plates: Existence and nonexistence of global solutions	4
Local existence and nonexistence for fractional semilinear parabolic systems with singular initial data	4
Variational analysis of proximal compositions and integral proximal mixtures	4
Passivity, port-hamiltonian formulation and solution estimates for a coupled magneto-quasistatic system	4
A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations	4
Hédy Attouch (1949-2023)	4
Total approximate controllability of non-instantaneous impulsive fractional differential systems involving Riemann-Liouville derivatives of order <inline-formula><tex-math id="M1">$ \beta	4
A continuous-time inertial Newton method for structured monotone inclusions	4
The Cauchy problem for the critical inhomogeneous nonlinear Schrödinger equation in $ H^{s}(\mathbb R^{n}) $	4
Weak solvability of the initial-boundary value problem for a finite-order model of the inhomogeneous incompressible Kelvin-Voigt fluid without a positive lower bound on the initial condition of fluid	4
Sensitivity analysis for equilibrium problems and applications to optimal control problems	4
Preface	4
A general decay result for the Cauchy problem of plate equations with memory	4
Polynomial stability of strongly coupled hyperbolic systems with internal damping and implicit infinite-memory effects	4
Robust <inline-formula><tex-math id="M1">$ H_{\infty} $</tex-math></inline-formula> sampled-data sliding mode control for Markov switching stochastic neutral-type systems with	3
Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth	3
Eigenvalue regularity criterion for the MHD equations with fractional magnetic diffusion	3
Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping	3
Enhanced dissipation via time-modulated velocity fields	3
Existence and relaxation of BV solutions for a sweeping process with prox-regular sets	3
Variational analysis for a quasistatic piezoelectric contact problem governed by a class of history-dependent quasi-variational-hemivariational inequalities	3
Retraction: Khaled Zennir. Existence and general qualitative properties of <inline-formula><tex-math id="M1">$ k $</tex-math></inline-formula>th-order solution for nonlinear vi	3
Asymptotically almost automorphy for impulsive integrodifferential evolution equations with infinite time delay via Mönch fixed point	3
Periodic solutions for nonlinear evolution equations with <i>p</i>(<i>x</i>)-growth structure	3
On Bochner's almost-periodicity criterion	3
Boundary controllability of Caputo fractional differential equations	3
Optimal distributed control of the viscous Cahn-Hilliard-Oono system with chemotaxis	3
Null controllability of $ \psi$ - Hilfer implicit fractional integro-differential equations with $ \psi $-Hilfer fractional nonlocal conditions	3
A new regularity criterion for the 3D incompressible Boussinesq equations in terms of the middle eigenvalue of the strain tensor in the homogeneous Besov spaces with negative indices	3
Nonexponential and polynomial decay of a thermoelastic Bresse system in the absence of the second spectrum	3
Energy decay for a suspension bridge problem with variable exponent and time dependent nonlinear damping	2
From inertial systems to proximal flows: The large damping limit of implicit Hessian-driven dynamics	2

Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law	2
Stochastic optimal linear quadratic controls with a recursive cost functional	2
A kind of observer-based active disturbance rejection control method for the stabilization of a class of Timoshenko beams	2
Regularity for non-autonomous parabolic equations with right hand side singular measures involved	2
Stability analysis of a coupled plate system with nonlinear damping mechanisms of energy-type	2
Controllability for Schrödinger type system with mixed dispersion on compact star graphs	2
Observability of dispersive equations from line segments on the torus	2
Controllability for the wave equation on graph with cycle and delta-prime vertex conditions	2
Exponential decay for a thermo-viscoelastic dynamic contact problem with friction and infinite memory	2
Discrete Hilfer fractional evolution equations: Explicit solution families, maximal <inline-formula><tex-math id="M1">$ \ell^{p} $</tex-math></inline-formula>-regularity, and o	2
On the exact controllability for the Benney-Luke equation in a bounded domain	2
Global dynamics of Bazykin-type cross-diffusive model with indirect predator-taxis	2
Time-space fractional porous medium equations with nonlocal nonlinear terms	2
On the finite time blow-ups for solutions of nonlinear differential equations	2
Effective filtering for slow-fast systems via Wong-Zakai approximation	2
An observability estimate for the wave equation and applications to the Neumann boundary controllability for the semilinear wave equations	2
Optimal control for stochastic differential equations and related Kolmogorov equations	2
Mild solution and finite-approximate controllability of higher-order fractional integrodifferential equations with nonlocal conditions	2
Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations	2
Boundedness in an attraction-repulsion chemotaxis system with both nonlinear signal production and consumption	2
Non-unique stationary solutions of even active scalar equations	2
Boundary controllability of a linear Schrödinger-Korteweg-de Vries system	2
Asymptotic Behavior of Serially-Connected Piezoelectric-Elastic smart design: Enhanced Polynomial and new Exponential Decay	2
Time optimal control for semi-linear second-order evolution systems with infinite delay	2
On the existence and continuity results for viscoelastic problem parabolic equations	2
Global boundedness for a class of chemotaxis-consumption systems involving singularly signal-dependent motility	2
Estimating two time-varying reaction coefficients in a water quality model from inexact initial and boundary data	2
Exploring fractional <inline-formula><tex-math id="M1">$ p[\nabla^\alpha u] $</tex-math></inline-formula>-laplacian dynamics in evolutionary PDEs: Applications in image noise r	2
Well-posedness and numerical solver for a KPI equation with time-dependent coefficients	2
Second order dynamical systems governed by maximally monotone operators: Quantitative stability	2
Approximate controllability for a class of instantaneous and non-instantaneous impulsive semilinear system with finite time delay	2
Well-posedness of Navier–Stokes–Voigt system with forces of low time-space regularity	2
Evolution families in the framework of maximal regularity	2
Decay of solutions for second gradient viscoelasticity with type Ⅱ heat conduction	2
A convex relaxation method for free boundary problems	2
On the existence of mild solutions of some partial functional integrodifferential equations with non continuous state-dependent delay function	2
Stability of backward inverse problems for degenerate mean-field game systems	2
Well-posedness, exponential and polynomial decay for a Timoshenko system with logarithmic nonlinear damping: The cases of equal &amp; nonequal-speed propagation	2
Asymptotic behaviour of a 2D Piezoelectric beam with magnetic effect on a rectangular or annular domain: Case without geometric conditions	1
Robustness for coupled inclusions with respect to variable exponents	1
Optimal regional control for a class of semilinear fractional evolution equations	1
Solvability and Ulam stability in the <inline-formula><tex-math id="M1">$ \alpha $</tex-math></inline-formula>-norm for a nonlocal coupled system of integrodifferential equatio	1
Time optimal control for a class of evolutionary equations with applications	1
Observability for Bessel-type Schrödinger equations based on uncertainty principles	1
Critical exponents to a chemotaxis-haptotaxis model with slow and fast diffusion	1
Feedback control problems for a class of backward Riemann-Liouville fractional evolution hemivariational inequalities with dual operators	1
Stability result of the Kawahara equation with localized damping and time-varying delay	1
Time periodic solution to chemotaxis-shallow water system in a periodic domain	1
Decay estimates for a perturbed two-terms space-time fractional diffusive problem	1
Asymptotic analysis of an age-structured predator-prey model with ratio-dependent Holling Ⅲ functional response and delays	1
Boundedness in a flux-limited chemotaxis-haptotaxis model with nonlinear diffusion	1
Blow up for nonlinear wave-type equations with perturbed derivatives	1
Multiple turnpikes of linear control systems with nonconvex integrands	1
Local exact controllability to constant trajectories for Navier-Stokes-Korteweg model	1
Mean-square controllable continuous attractors for random Korteweg-de Vries lattice equations	1
Blow-up time bounds for a strongly damped wave equation with PINNs validation	1
Boundedness and stabilization in a haptotaxis model of oncolytic virotherapy with nonlinear sensitivity	1
Memory approximate controllability properties for higher order Hilfer time-fractional evolution equations	1
Extended angle conditions for the study of the asymptotic behaviour of some continuous and discrete forced dynamical systems	1
Pontryagin's optimal variational inequalities for SDEs with non-differentiable coefficients: A Malliavin calculus approach	1
Global boundedness for a predator-prey model with nonlinear indirect pursuit-evasion effect	1
Global weak solutions to a doubly haptotactic cross-diffusion system with $ p $-Laplacian diffusion	1
Mean continuity and local controllability of pullback random attractors for random nonlocal equations	1
Global-in-time solutions and Hölder continuity for quasilinear parabolic PDEs with mixed boundary conditions in the Bessel dual scale	1
Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces	1
Boundary null controllability of the heat equation with Wentzell boundary condition and Dirichlet control	1
Global exponential contraction of functional differential equations	1
Fisher-information-based sensor placement for structural digital twins: Analytic results and benchmarks	1
Null-controllability for weakly dissipative heat-like equations	1
Results on approximate controllability of fractional stochastic differential equations driven by mixed fractional Brownian motion with infinite delay via resolvent operators	1
Dynamics of nonlinear anomalous reaction-diffusion models: Global existence and blow-up of solutions	1
Stability and optimal control for an age-structured model of periodical cicadas	1
Existence of optimal and <inline-formula><tex-math id="M1">$ \epsilon $</tex-math></inline-formula>-optimal feedback controls for stochastic Cahn-Hilliard equation	1
Asymptotic stability of solutions to semilinear evolution equations in Banach spaces	1
Optimal control problems governed by Marguerre–von Kármán evolution equations with long memory	1
Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential	1
Stochastic optimal switching and systems of variational inequalities with interconnected obstacles	1
Global bounded solutions in a higher-dimensional SIS reaction-diffusion-chemotaxis epidemic model with flux limitation and nonlinear incidence	1
Mathematical analysis of an abstract model and its applications to structured populations (I)	1
The Heavy ball method regularized by Tikhonov term. Simultaneous convergence of values and trajectories	1

Research on LQ controller design and its parameter tuning using error-based extended state observer	1
Multiplicative controllability of the reaction-diffusion equation on a parallelepiped with finitely many hyperplanes of change of sign	1
Global weak solutions to a chemotaxis system for virus dynamics with <inline-formula><tex-math id="M1">$ p $</tex-math></inline-formula>-Laplacian diffusion and singular sensit	1
Sharp higher-order <inline-formula><tex-math id="M1">$ L^2 $</tex-math></inline-formula>-asymptotic expansion of solutions to <inline-formula><tex-math id="M2">$ \s	1
On the singular limit of a boundary delayed Kuramoto-Sivashinsky-Korteweg-de Vries equation: Well-posedness and stability results	1
Optimal control problems governed by space-time fractional parabolic equations on metric graphs	1
Stabilization for some degenerate wave equations	1
Exact boundary controllability for one-dimensional wave equations systems with a time dependent potential in non-cylindrical domains	1
Approximate controllability of nonconvex valued semilinear differential inclusion	1
Uniform stabilization of the Boussinesq system in Besov spaces via finite dimensional, boundary-based fluid and interior thermal feedbacks	1
Null controllability of KdV equation in a star-shaped network	1
Identifiability of some space dependent coefficients in a wave equation of nonlinear acoustics	1
Pullback attractors for non-autonomous MGT-Fourier system	1
Partial approximate controllability results for fractional order stochastic evolution equations using approximation method	1
Convergence rates of solutions for a chemotaxis system with nonlinear diffusion and logistic source	1
A new Liouville-type theorem for the stationary Boussinesq system	1
Envelope, singular solution, and finite-time stability	1
On a higher-order differential inequality involving the Weinstein differential operator in an infinite parallelepiped	1
Optimal control of a random sweeping process with probabilistic terminal point constraint	1
Optimal harvesting for a logistic model with grazing	1
The necessary optimal condition of inverse heat source problem	1
Riccati-based solution to the optimal control of linear evolution equations with finite memory	1
An optimal control problem driven by iterative integro-differential inclusion	0
Optimal control for infinite-horizon bilinear systems subject to a set of vector-valued functions	0
Asymptotic behavior of a viscoelastic wave-Petrovsky coupled system with supercritical source terms	0
Scattering for a defocusing inhomogeneous Hartree equation in the mass-subcritical regime	0
Stability results of a laminated beam with Cattaneo's thermal law and structural damping	0
Invariant measures and limit behavior for semi-linear neutral stochastic integro-differential evolution equations with infinite delay	0
Refined nonlinear Caputo-Hadamard fractional Halanay inequalities with sharp decay rates	0
Density of weak solutions of the fractional Navier-Stokes equations in the smooth divergence-free vector fields	0
Optimal control of the 3D damped Navier-Stokes-Voigt equations with control constraints	0
Rapid boundary stabilization for the longitudinal vibrations of a bar	0
Exact controllability of semilinear heat equations through a constructive approach	0
Space-time-dependent source identification problem for a subdiffusion equation	0
Well-posedness and regularization for Caputo fractional elliptic equation with nonlocal condition	0
Local null-controllability of a two-parabolic nonlinear system with coupled boundary conditions by a Neumann control	0
Sufficient maximum principle for partially observed mean-field stochastic optimal control problems with delays	0
On the Cauchy problem for the Hartree type semilinear Schrödinger equation in the de Sitter spacetime	0
The quadratic tracking problem for systems with persistent memory in $ \mathbb{R}^d $	0
Uniform decaying property of solutions for anisotropic viscoelastic systems	0
A sharp Gagliardo-Nirenberg inequality and its application to fractional problems with inhomogeneous nonlinearity	0
On the Cauchy problem for semilinear thermoelastic plate systems in the <i>L<sup>q</sup></i> framework	0
Controllability of Hilfer type fractional evolution neutral integro-differential inclusions with non-instantaneous impulses	0
Regularity results for degenerate wave equations in a neighborhood of the boundary	0
Long-time behavior for Kirchhoff wave equation with a memory term and a structural damping	0
Well-posedness and approximate controllability for some integrodifferential evolution systems with multi-valued nonlocal conditions	0
On the approximate boundary controllability of some partial functional integrodifferential equations with finite delay in Banach spaces	0
Exact controllability of degenerate wave equation in nondivergence form with interior control and drift	0
Solving coupled pairs of fractional differential equations by Mikusiński's operational calculus	0
Well-posedness of the Maxwell equations with nonlinear Ohm law	0
Uniqueness for the Schrödinger equation with an inverse square potential and application to controllability and inverse problems	0
Analysis of diffusive size-structured population model and optimal birth control	0
Carleman estimates for parabolic equations with super strong degeneracy in a set of positive measure	0
Pointwise feedback stabilization of an unstable cascaded heat-heat system with different reaction coefficients	0
Asymptotic behavior of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity	0
Optimal control of McKean-Vlasov equations with controlled stochasticity	0
Nonexistence for a time-fractional damped wave equation in an annulus	0
An effect of decay rates: Supercritical damping and a viscoelastic term	0
On a discontinuous dynamical system with non-convex sweeping process and subdifferential	0
Null boundary controllability for some biological and chemical diffusion problems	0
Null controllability for parabolic systems with dynamic boundary conditions	0
Boundary consensus of networked hyperbolic PDE systems with input disturbances	0
Optimal tubes for non-cylindrical Navier-Stokes flows with Navier boundary condition	0
Approximation of the set of integrable trajectories of the control system with $ L_2 $ norm constraints on control functions	0
Well-posedness of a variable-exponent telegraph equation applied to image despeckling	0
Continuous data assimilation and feedback control of fractional reaction-diffusion equations	0
Optimal feedback control for a class of partial differential inclusions with memory	0
On the weighted Fourier transform, fractional Laplacian, and Riesz and Bessel potentials with respect to a function and applications for fractional partial differential equations	0
Uniformly exponentially stable finite-difference model reduction of heat and piezoelectric beam interactions with static or hybrid feedback controllers	0
Robust tracking of fractional-order diffusion equation with uncertain parameter using second-order sliding mode boundary control	0
Rainfall infiltration: Direct and inverse problems on a linear evolution equation	0
Approximate controllability for second-order stochastic neutral evolution equations with infinite delay	0
Asymptotic behavior of solutions of the Cauchy problem for a hyperbolic equation with periodic coefficients. the principle of the limiting amplitude	0
Solvability of a chemotaxis system modeling immune response to a solid tumor with <i>L</i><sup>2</sup>-initial data	0
Exponential decay for a delayed dispersive-dissipative wave equation with time dependent coefficients	0
Optimal control of Landau-Lifshitz-Bloch equation with applied current	0
Global existence and asymptotic behavior of classical solutions of a fully parabolic chemotaxis system with indirect signal production and nonlinear sensitivity	0
Existence results for a periodic 1-D compressible Landau-Lifshitz-Bloch-Heisenberg equation	0
Stabilized second-order <inline-formula><tex-math id="M1">$ \theta $</tex-math></inline-formula>-methods: Preserving accuracy and enforcing imaginary-axis damping via <inlin	0
Controllability for a 2 × 2 nonlinear degenerate parabolic system via one boundary control force	0
Heat equation involving generalized <i>p</i>(<i>ξ</i>)-Laplacian with logarithmic nonlinearity	0
Optimal boundary control of the Bulk-surface Coupled Cahn-Hilliard-diffusion system for lipid raft formation	0
Weak solutions of neutral stochastic functional differential equations in infinite dimensional spaces	0
On a beam model with degenerate nonlocal nonlinear damping	0
On the decay of a porous thermoelastic system with thermal dissipation and delay term	0
Adaptive-memory fractional SIR dynamics via Hermite wavelet spectral methods	0
On theoretical result of a controlled $ p(x) $-reaction diffusion equation for Poisson noise reduction	0
A note on control of one-dimensional heterogeneous reaction-diffusion equations	0
Boundary perturbation theorem for the essential spectral radius with application to a spatial tumor invasion with cell age	0
Blow-up for a pseudo-parabolic $ p $-Kirchhoff equation with logarithmic nonlinearity	0
Stabilization of nonautonomous linear parabolic-like equations: Oblique projections versus Riccati feedbacks	0
On the exact observability of Schrödinger equations associated with Laguerre operators	0
On a class of second-order dynamical systems involving viscous and Hessian-driven damping	0
Approximation of mild solutions of delay integro-differential equations on Banach spaces	0
Inverse problem for abstract delay differential equation with impulsive effects	0