Evolution Equations and Control Theory

Papers
(The TQCC of Evolution Equations and Control Theory is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-01-01 to 2026-01-01.)
ArticleCitations
Boundary exact controllability for the longitudinal vibrations of a bar in memoriam to Professor Luiz Adauto Medeiros26
Optimal control for a free boundary tumor growth model20
Optimal control of mixed local-nonlocal parabolic PDE with singular boundary-exterior data18
Nonlinear continuous data assimilation18
Blow-up phenomena of boundary delay effects in nonlinear logarithmic wave dynamics18
Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator16
Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system15
Fast rates and strong convergence towards the minimum norm solution of dynamic trajectories with Tikhonov regularization for convex minimization under linear constraints15
Stability properties for a problem of light scattering in a dispersive metallic domain13
Exponential stability for a multi-particle system with piecewise interaction function and stochastic disturbance13
A canonical model of the one-dimensional dynamical Dirac system with boundary control12
Initial boundary value problem for a strongly damped wave equation with a general nonlinearity11
Continuity in the fractional order and convergence results for pseudo-parabolic equations with fractional derivative and exponential non-linearity11
Optimal polynomial thermoelastic stability of a composite material11
Singular limits and dynamics for the abstract Timoshenko system11
Optimal control problems governed by two dimensional convective Brinkman-Forchheimer equations9
On the Laplace equation with non-local dynamical boundary conditions9
On a quasilinear fully parabolic chemotaxis-type solow-swan model with indirect signal9
$ L^p $-exact controllability of partial differential equations with nonlocal terms9
Global existence and exponential stability of a fractionally damped logarithmic Lamé system with infinite memory9
Global classical and weak solutions of the prion proliferation model in the presence of chaperone in a banach space8
Global solutions to a chemotaxis-consumption model with signal-dependent motility8
Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement8
On a second-order functional evolution problem with time and state dependent maximal monotone operators8
Optimal control of time-periodic solutions to quasi-variational evolution equations7
Regularity and stability analysis for semilinear generalized Rayleigh-Stokes equations7
On the internal and boundary stabilization of a nonlinear suspension bridge system: Exponential and polynomial decay rates7
Existence of strong solutions for a compressible fluid-solid interaction system with Navier slip boundary conditions7
On a stochastic differential equation with correction term governed by a monotone and Lipschitz continuous operator7
Controllability results for Sobolev type $ \psi - $Hilfer fractional backward perturbed integro-differential equations in Hilbert space7
Nonlinear logarithmic wave equations: Blow-up phenomena and the influence of fractional damping, infinite memory, and strong dissipation7
Exact boundary null controllability for a coupled system of plate equations with variable coefficients7
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions7
Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces7
Fractional differential equations of a reaction-diffusion SIR model involving the Caputo-fractional time-derivative and a nonlinear diffusion operator6
Controllability of Hilfer fractional integro-differential equations of Sobolev-type with a nonlocal condition in a Banach space6
Temporal periodic solutions for fractional evolution equations with nonlinear source terms6
<inline-formula><tex-math id="M1">$ H^\infty $</tex-math></inline-formula>-control problem for a singular parabolic system with convection6
Local existence and nonexistence for fractional semilinear parabolic systems with singular initial data6
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities6
Existence and robustness results of attractors for partially-damped piezoelectric beams5
Stabilization of an interconnected system of Schrödinger and wave equations with boundary coupling5
Von Karman thermoelastic plates: Existence and nonexistence of global solutions5
Variational analysis of proximal compositions and integral proximal mixtures5
Preface5
Stabilization with decay estimate of infinite dimensional second order systems by bilinear control damping5
Analysis and simulation of an adhesive contact problem governed by fractional differential hemivariational inequalities with history-dependent operator5
Controllability of a backward stochastic cascade system of coupled parabolic heat equations by one control force5
A continuous-time inertial Newton method for structured monotone inclusions5
Existence and relaxation of BV solutions for a sweeping process with prox-regular sets5
Sensitivity analysis for equilibrium problems and applications to optimal control problems5
A general decay result for the Cauchy problem of plate equations with memory5
Passivity, port-hamiltonian formulation and solution estimates for a coupled magneto-quasistatic system5
The Cauchy problem for the critical inhomogeneous nonlinear Schrödinger equation in $ H^{s}(\mathbb R^{n}) $5
Hédy Attouch (1949-2023)5
Total approximate controllability of non-instantaneous impulsive fractional differential systems involving Riemann-Liouville derivatives of order <inline-formula><tex-math id="M1">$ \beta 5
Nonexponential and polynomial decay of a thermoelastic Bresse system in the absence of the second spectrum4
Null controllability of $ \psi$ - Hilfer implicit fractional integro-differential equations with $ \psi $-Hilfer fractional nonlocal conditions4
On Bochner's almost-periodicity criterion4
Retraction: Khaled Zennir. Existence and general qualitative properties of <inline-formula><tex-math id="M1">$ k $</tex-math></inline-formula>th-order solution for nonlinear vi4
Asymptotically almost automorphy for impulsive integrodifferential evolution equations with infinite time delay via Mönch fixed point4
Optimal distributed control of the viscous Cahn-Hilliard-Oono system with chemotaxis4
A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations4
Blow-up of solutions to a viscoelastic wave equation with nonlocal damping4
Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations4
Convergence of random attractors towards deterministic singleton attractor for 2D and 3D convective Brinkman-Forchheimer equations4
Exponential stability and stabilization of fractional stochastic degenerate evolution equations in a Hilbert space: Subordination principle4
Eigenvalue regularity criterion for the MHD equations with fractional magnetic diffusion4
Exponential stabilization of the problem of transmission of wave equation with linear dynamical feedback control4
Boundary controllability of Caputo fractional differential equations4
Sufficient conditions for the continuity of inertial manifolds for singularly perturbed problems4
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 indices4
Robustness of global attractors: Abstract framework and application to dissipative wave equations4
Periodic solutions for nonlinear evolution equations with <i>p</i>(<i>x</i>)-growth structure4
Complete controllability for a class of fractional evolution equations with uncertainty4
Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth4
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
Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping4
Effective filtering for slow-fast systems via Wong-Zakai approximation3
Mild solution and finite-approximate controllability of higher-order fractional integrodifferential equations with nonlocal conditions3
Enhanced dissipation via time-modulated velocity fields3
Non-unique stationary solutions of even active scalar equations3
Neutral delay Hilfer fractional integrodifferential equations with fractional brownian motion3
Asymptotic Behavior of Serially-Connected Piezoelectric-Elastic smart design: Enhanced Polynomial and new Exponential Decay3
Decay of solutions for second gradient viscoelasticity with type Ⅱ heat conduction3
Optimal control problems for a neutral integro-differential system with infinite delay3
Regularity for non-autonomous parabolic equations with right hand side singular measures involved3
Approximate controllability for a class of instantaneous and non-instantaneous impulsive semilinear system with finite time delay3
Observability of dispersive equations from line segments on the torus3
Stabilization of port-Hamiltonian systems with discontinuous energy densities3
An observability estimate for the wave equation and applications to the Neumann boundary controllability for the semilinear wave equations3
Well-posedness and numerical solver for a KPI equation with time-dependent coefficients3
Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law3
Second order dynamical systems governed by maximally monotone operators: Quantitative stability3
Impulsive hemivariational inequality for a class of history-dependent quasistatic frictional contact problems3
Well-posedness of Navier–Stokes–Voigt system with forces of low time-space regularity3
Optimal control for stochastic differential equations and related Kolmogorov equations3
A kind of observer-based active disturbance rejection control method for the stabilization of a class of Timoshenko beams3
On time fractional pseudo-parabolic equations with nonlocal integral conditions3
Dynamics of piezoelectric beams with magnetic effects and delay term3
Pseudo $ S $-asymptotically Bloch type periodic solutions to a damped evolution equation3
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