Evolution Equations and Control Theory

Papers
(The TQCC of Evolution Equations and Control Theory is 2. 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 2021-08-01 to 2025-08-01.)
ArticleCitations
Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system22
Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator19
Boundary exact controllability for the longitudinal vibrations of a bar in memoriam to Professor Luiz Adauto Medeiros18
Optimal control of mixed local-nonlocal parabolic PDE with singular boundary-exterior data16
Nonlinear continuous data assimilation15
Optimal control for a free boundary tumor growth model13
Optimal polynomial thermoelastic stability of a composite material12
Optimal control problems governed by two dimensional convective Brinkman-Forchheimer equations12
$ L^p $-exact controllability of partial differential equations with nonlocal terms11
Exponential stability for a multi-particle system with piecewise interaction function and stochastic disturbance11
Stability properties for a problem of light scattering in a dispersive metallic domain11
Continuity in the fractional order and convergence results for pseudo-parabolic equations with fractional derivative and exponential non-linearity11
A canonical model of the one-dimensional dynamical Dirac system with boundary control11
Singular limits and dynamics for the abstract Timoshenko system10
Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement8
Initial boundary value problem for a strongly damped wave equation with a general nonlinearity8
Global classical and weak solutions of the prion proliferation model in the presence of chaperone in a banach space8
On a quasilinear fully parabolic chemotaxis-type solow-swan model with indirect signal8
Regularity and stability analysis for semilinear generalized Rayleigh-Stokes equations7
Nonlinear logarithmic wave equations: Blow-up phenomena and the influence of fractional damping, infinite memory, and strong dissipation7
Existence of strong solutions for a compressible fluid-solid interaction system with Navier slip boundary conditions7
Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces7
Controllability results for Sobolev type $ \psi - $Hilfer fractional backward perturbed integro-differential equations in Hilbert space7
On a stochastic differential equation with correction term governed by a monotone and Lipschitz continuous operator7
On a second-order functional evolution problem with time and state dependent maximal monotone operators7
On the internal and boundary stabilization of a nonlinear suspension bridge system: Exponential and polynomial decay rates7
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 space6
Exact boundary null controllability for a coupled system of plate equations with variable coefficients6
Fractional differential equations of a reaction-diffusion SIR model involving the Caputo-fractional time-derivative and a nonlinear diffusion operator6
The Cauchy problem for the critical inhomogeneous nonlinear Schrödinger equation in $ H^{s}(\mathbb R^{n}) $5
Local existence and nonexistence for fractional semilinear parabolic systems with singular initial data5
Sensitivity analysis for equilibrium problems and applications to optimal control problems5
Passivity, port-hamiltonian formulation and solution estimates for a coupled magneto-quasistatic system5
Stabilization with decay estimate of infinite dimensional second order systems by bilinear control damping5
Stabilization of an interconnected system of Schrödinger and wave equations with boundary coupling5
Variational analysis of proximal compositions and integral proximal mixtures5
A general decay result for the Cauchy problem of plate equations with memory5
Hédy Attouch (1949-2023)5
Von Karman thermoelastic plates: Existence and nonexistence of global solutions5
Temporal periodic solutions for fractional evolution equations with nonlinear source terms5
Total approximate controllability of non-instantaneous impulsive fractional differential systems involving Riemann-Liouville derivatives of order <inline-formula><tex-math id="M1">$ \beta 5
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
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities5
Existence and robustness results of attractors for partially-damped piezoelectric beams4
Existence and relaxation of BV solutions for a sweeping process with prox-regular sets4
Convergence of random attractors towards deterministic singleton attractor for 2D and 3D convective Brinkman-Forchheimer equations4
On Bochner's almost-periodicity criterion4
Blow-up of solutions to a viscoelastic wave equation with nonlocal damping4
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
A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations4
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
Optimal distributed control of the viscous Cahn-Hilliard-Oono system with chemotaxis4
Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth4
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 indices3
Periodic solutions for nonlinear evolution equations with <i>p</i>(<i>x</i>)-growth structure3
Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations3
Dynamics of piezoelectric beams with magnetic effects and delay term3
On time fractional pseudo-parabolic equations with nonlocal integral conditions3
Second order dynamical systems governed by maximally monotone operators: Quantitative stability3
Exponential stability and stabilization of fractional stochastic degenerate evolution equations in a Hilbert space: Subordination principle3
Nonexponential and polynomial decay of a thermoelastic Bresse system in the absence of the second spectrum3
Robustness of global attractors: Abstract framework and application to dissipative wave equations3
Asymptotically almost automorphy for impulsive integrodifferential evolution equations with infinite time delay via Mönch fixed point3
Observability of dispersive equations from line segments on the torus3
Approximate controllability for a class of instantaneous and non-instantaneous impulsive semilinear system with finite time delay3
Pseudo $ S $-asymptotically Bloch type periodic solutions to a damped evolution equation3
Effective filtering for slow-fast systems via Wong-Zakai approximation3
Optimal control for stochastic differential equations and related Kolmogorov equations3
Stabilization of port-Hamiltonian systems with discontinuous energy densities3
Complete controllability for a class of fractional evolution equations with uncertainty3
Non-unique stationary solutions of even active scalar equations3
Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping3
Impulsive hemivariational inequality for a class of history-dependent quasistatic frictional contact problems3
A kind of observer-based active disturbance rejection control method for the stabilization of a class of Timoshenko beams3
Optimal control problems for a neutral integro-differential system with infinite delay3
Enhanced dissipation via time-modulated velocity fields3
Mild solution and finite-approximate controllability of higher-order fractional integrodifferential equations with nonlocal conditions3
Null controllability of $ \psi$ - Hilfer implicit fractional integro-differential equations with $ \psi $-Hilfer fractional nonlocal conditions3
Evolution families in the framework of maximal regularity2
Decay of solutions for second gradient viscoelasticity with type Ⅱ heat conduction2
A convex relaxation method for free boundary problems2
On the Cauchy problem for a derivative nonlinear Schrödinger equation with nonvanishing boundary conditions2
Riccati-based solution to the optimal control of linear evolution equations with finite memory2
Telegraph systems on networks and port-Hamiltonians. Ⅲ. Explicit representation and long-term behaviour2
Global weak solutions to a doubly haptotactic cross-diffusion system with $ p $-Laplacian diffusion2
Boundary controllability for a coupled system of degenerate/singular parabolic equations2
Boundedness in an attraction-repulsion chemotaxis system with both nonlinear signal production and consumption2
On the stabilization for the high-order Kadomtsev-Petviashvili and the Zakharov-Kuznetsov equations with localized damping2
Finite dimensional global attractor for a class of two-coupled nonlinear fractional Schrödinger equations2
Estimating two time-varying reaction coefficients in a water quality model from inexact initial and boundary data2
Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law2
On the existence of mild solutions of some partial functional integrodifferential equations with non continuous state-dependent delay function2
Time-space fractional porous medium equations with nonlocal nonlinear terms2
Global dynamics of Bazykin-type cross-diffusive model with indirect predator-taxis2
Boundedness and stabilization in a haptotaxis model of oncolytic virotherapy with nonlinear sensitivity2
Robustness for coupled inclusions with respect to variable exponents2
Energy method for exponential stability of coupled one-dimensional hyperbolic PDE-ODE systems2
Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions2
Controllability for Schrödinger type system with mixed dispersion on compact star graphs2
Pullback attractors for weak solution to modified Kelvin-Voigt model2
BV solutions of a convex sweeping process with a composed perturbation2
Two simple criterion to obtain exact controllability and stabilization of a linear family of dispersive PDE's on a periodic domain2
Neutral delay Hilfer fractional integrodifferential equations with fractional brownian motion2
On the exact controllability for the Benney-Luke equation in a bounded domain2
Stability of backward inverse problems for degenerate mean-field game systems2
Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass2
Multiplicative controllability of the reaction-diffusion equation on a parallelepiped with finitely many hyperplanes of change of sign2
The Heavy ball method regularized by Tikhonov term. Simultaneous convergence of values and trajectories2
On the existence and continuity results for viscoelastic problem parabolic equations2
Energy decay for a suspension bridge problem with variable exponent and time dependent nonlinear damping2
Controllability for the wave equation on graph with cycle and delta-prime vertex conditions2
Stability estimate for a partial data inverse problem for the convection-diffusion equation2
Asymptotic Behavior of Serially-Connected Piezoelectric-Elastic smart design: Enhanced Polynomial and new Exponential Decay2
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