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 2021-11-01 to 2025-11-01.)
ArticleCitations
Boundary exact controllability for the longitudinal vibrations of a bar in memoriam to Professor Luiz Adauto Medeiros24
Optimal control for a free boundary tumor growth model20
Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system18
Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator18
Optimal control of mixed local-nonlocal parabolic PDE with singular boundary-exterior data18
Nonlinear continuous data assimilation15
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 control13
Continuity in the fractional order and convergence results for pseudo-parabolic equations with fractional derivative and exponential non-linearity12
Optimal polynomial thermoelastic stability of a composite material12
Singular limits and dynamics for the abstract Timoshenko system11
$ L^p $-exact controllability of partial differential equations with nonlocal terms11
Initial boundary value problem for a strongly damped wave equation with a general nonlinearity11
Optimal control problems governed by two dimensional convective Brinkman-Forchheimer equations10
Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement9
Global classical and weak solutions of the prion proliferation model in the presence of chaperone in a banach space9
Nonlinear logarithmic wave equations: Blow-up phenomena and the influence of fractional damping, infinite memory, and strong dissipation8
Controllability results for Sobolev type $ \psi - $Hilfer fractional backward perturbed integro-differential equations in Hilbert space8
On the internal and boundary stabilization of a nonlinear suspension bridge system: Exponential and polynomial decay rates8
On a stochastic differential equation with correction term governed by a monotone and Lipschitz continuous operator8
On a second-order functional evolution problem with time and state dependent maximal monotone operators8
Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces8
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities7
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions7
Controllability of Hilfer fractional integro-differential equations of Sobolev-type with a nonlocal condition in a Banach space7
Existence of strong solutions for a compressible fluid-solid interaction system with Navier slip boundary conditions7
Regularity and stability analysis for semilinear generalized Rayleigh-Stokes equations7
Fractional differential equations of a reaction-diffusion SIR model involving the Caputo-fractional time-derivative and a nonlinear diffusion operator7
Exact boundary null controllability for a coupled system of plate equations with variable coefficients7
Temporal periodic solutions for fractional evolution equations with nonlinear source terms6
Local existence and nonexistence for fractional semilinear parabolic systems with singular initial data6
Hédy Attouch (1949-2023)6
Stabilization with decay estimate of infinite dimensional second order systems by bilinear control damping6
Analysis and simulation of an adhesive contact problem governed by fractional differential hemivariational inequalities with history-dependent operator6
Variational analysis of proximal compositions and integral proximal mixtures6
Stabilization of an interconnected system of Schrödinger and wave equations with boundary coupling6
Existence and robustness results of attractors for partially-damped piezoelectric beams5
The Cauchy problem for the critical inhomogeneous nonlinear Schrödinger equation in $ H^{s}(\mathbb R^{n}) $5
Total approximate controllability of non-instantaneous impulsive fractional differential systems involving Riemann-Liouville derivatives of order <inline-formula><tex-math id="M1">$ \beta 5
A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations5
Von Karman thermoelastic plates: Existence and nonexistence of global solutions5
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
Passivity, port-hamiltonian formulation and solution estimates for a coupled magneto-quasistatic system5
Sensitivity analysis for equilibrium problems and applications to optimal control problems5
Blow-up of solutions to a viscoelastic wave equation with nonlocal damping5
A general decay result for the Cauchy problem of plate equations with memory5
Sufficient conditions for the continuity of inertial manifolds for singularly perturbed problems4
Exponential stabilization of the problem of transmission of wave equation with linear dynamical feedback control4
Null controllability of $ \psi$ - Hilfer implicit fractional integro-differential equations with $ \psi $-Hilfer fractional nonlocal conditions4
Convergence of random attractors towards deterministic singleton attractor for 2D and 3D convective Brinkman-Forchheimer equations4
Stabilization of port-Hamiltonian systems with discontinuous energy densities4
Robustness of global attractors: Abstract framework and application to dissipative wave equations4
Optimal distributed control of the viscous Cahn-Hilliard-Oono system with chemotaxis4
On Bochner's almost-periodicity criterion4
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
Periodic solutions for nonlinear evolution equations with <i>p</i>(<i>x</i>)-growth structure4
Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping4
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
Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth4
Asymptotically almost automorphy for impulsive integrodifferential evolution equations with infinite time delay via Mönch fixed point4
Nonexponential and polynomial decay of a thermoelastic Bresse system in the absence of the second spectrum4
Exponential stability and stabilization of fractional stochastic degenerate evolution equations in a Hilbert space: Subordination principle4
Approximate controllability for a class of instantaneous and non-instantaneous impulsive semilinear system with finite time delay3
On time fractional pseudo-parabolic equations with nonlocal integral conditions3
Stability estimate for a partial data inverse problem for the convection-diffusion equation3
Estimating two time-varying reaction coefficients in a water quality model from inexact initial and boundary data3
Evolution families in the framework of maximal regularity3
Pseudo $ S $-asymptotically Bloch type periodic solutions to a damped evolution equation3
Boundary controllability for a coupled system of degenerate/singular parabolic equations3
Complete controllability for a class of fractional evolution equations with uncertainty3
Observability of dispersive equations from line segments on the torus3
Mild solution and finite-approximate controllability of higher-order fractional integrodifferential equations with nonlocal conditions3
Dynamics of piezoelectric beams with magnetic effects and delay term3
Two simple criterion to obtain exact controllability and stabilization of a linear family of dispersive PDE's on a periodic domain3
Energy decay for a suspension bridge problem with variable exponent and time dependent nonlinear damping3
Optimal control problems for a neutral integro-differential system with infinite delay3
Neutral delay Hilfer fractional integrodifferential equations with fractional brownian motion3
Optimal control for stochastic differential equations and related Kolmogorov equations3
Impulsive hemivariational inequality for a class of history-dependent quasistatic frictional contact problems3
Non-unique stationary solutions of even active scalar equations3
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
On the exact controllability for the Benney-Luke equation in a bounded domain3
Pullback attractors for weak solution to modified Kelvin-Voigt model3
A kind of observer-based active disturbance rejection control method for the stabilization of a class of Timoshenko beams3
Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law3
Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations3
Effective filtering for slow-fast systems via Wong-Zakai approximation3
Second order dynamical systems governed by maximally monotone operators: Quantitative stability3
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