Evolution Equations and Control Theory

Article	Citations
Boundary exact controllability for the longitudinal vibrations of a bar in memoriam to Professor Luiz Adauto Medeiros	24
Optimal control for a free boundary tumor growth model	20
Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator	18
Optimal control of mixed local-nonlocal parabolic PDE with singular boundary-exterior data	18
Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system	18
Nonlinear continuous data assimilation	15
Exponential stability for a multi-particle system with piecewise interaction function and stochastic disturbance	13
A canonical model of the one-dimensional dynamical Dirac system with boundary control	13
Stability properties for a problem of light scattering in a dispersive metallic domain	13
Optimal polynomial thermoelastic stability of a composite material	12
Continuity in the fractional order and convergence results for pseudo-parabolic equations with fractional derivative and exponential non-linearity	12
$ L^p $-exact controllability of partial differential equations with nonlocal terms	11
Initial boundary value problem for a strongly damped wave equation with a general nonlinearity	11
Singular limits and dynamics for the abstract Timoshenko system	11
Optimal control problems governed by two dimensional convective Brinkman-Forchheimer equations	10
Global classical and weak solutions of the prion proliferation model in the presence of chaperone in a banach space	9
Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement	9
Nonlinear logarithmic wave equations: Blow-up phenomena and the influence of fractional damping, infinite memory, and strong dissipation	8
Controllability results for Sobolev type $ \psi - $Hilfer fractional backward perturbed integro-differential equations in Hilbert space	8
On the internal and boundary stabilization of a nonlinear suspension bridge system: Exponential and polynomial decay rates	8
On a stochastic differential equation with correction term governed by a monotone and Lipschitz continuous operator	8
On a second-order functional evolution problem with time and state dependent maximal monotone operators	8
Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces	8
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions	7
Controllability of Hilfer fractional integro-differential equations of Sobolev-type with a nonlocal condition in a Banach space	7

Existence of strong solutions for a compressible fluid-solid interaction system with Navier slip boundary conditions	7
Regularity and stability analysis for semilinear generalized Rayleigh-Stokes equations	7
Fractional differential equations of a reaction-diffusion SIR model involving the Caputo-fractional time-derivative and a nonlinear diffusion operator	7
Exact boundary null controllability for a coupled system of plate equations with variable coefficients	7
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities	7
Stabilization with decay estimate of infinite dimensional second order systems by bilinear control damping	6
Analysis and simulation of an adhesive contact problem governed by fractional differential hemivariational inequalities with history-dependent operator	6
Variational analysis of proximal compositions and integral proximal mixtures	6
Stabilization of an interconnected system of Schrödinger and wave equations with boundary coupling	6
Temporal periodic solutions for fractional evolution equations with nonlinear source terms	6
Local existence and nonexistence for fractional semilinear parabolic systems with singular initial data	6
Hédy Attouch (1949-2023)	6
Von Karman thermoelastic plates: Existence and nonexistence of global solutions	5
Controllability of a backward stochastic cascade system of coupled parabolic heat equations by one control force	5
A continuous-time inertial Newton method for structured monotone inclusions	5
Existence and relaxation of BV solutions for a sweeping process with prox-regular sets	5
Passivity, port-hamiltonian formulation and solution estimates for a coupled magneto-quasistatic system	5
Sensitivity analysis for equilibrium problems and applications to optimal control problems	5
Blow-up of solutions to a viscoelastic wave equation with nonlocal damping	5
A general decay result for the Cauchy problem of plate equations with memory	5
Existence and robustness results of attractors for partially-damped piezoelectric beams	5
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 equations	5
Null controllability of $ \psi$ - Hilfer implicit fractional integro-differential equations with $ \psi $-Hilfer fractional nonlocal conditions	4
Convergence of random attractors towards deterministic singleton attractor for 2D and 3D convective Brinkman-Forchheimer equations	4
Stabilization of port-Hamiltonian systems with discontinuous energy densities	4
Robustness of global attractors: Abstract framework and application to dissipative wave equations	4
Optimal distributed control of the viscous Cahn-Hilliard-Oono system with chemotaxis	4
On Bochner's almost-periodicity criterion	4
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	4
Periodic solutions for nonlinear evolution equations with <i>p</i>(<i>x</i>)-growth structure	4
Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping	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
Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth	4
Asymptotically almost automorphy for impulsive integrodifferential evolution equations with infinite time delay via Mönch fixed point	4
Nonexponential and polynomial decay of a thermoelastic Bresse system in the absence of the second spectrum	4
Exponential stability and stabilization of fractional stochastic degenerate evolution equations in a Hilbert space: Subordination principle	4
Sufficient conditions for the continuity of inertial manifolds for singularly perturbed problems	4
Exponential stabilization of the problem of transmission of wave equation with linear dynamical feedback control	4
Complete controllability for a class of fractional evolution equations with uncertainty	3
Observability of dispersive equations from line segments on the torus	3
Mild solution and finite-approximate controllability of higher-order fractional integrodifferential equations with nonlocal conditions	3
Dynamics of piezoelectric beams with magnetic effects and delay term	3
Two simple criterion to obtain exact controllability and stabilization of a linear family of dispersive PDE's on a periodic domain	3
Neutral delay Hilfer fractional integrodifferential equations with fractional brownian motion	3
Energy decay for a suspension bridge problem with variable exponent and time dependent nonlinear damping	3
Optimal control problems for a neutral integro-differential system with infinite delay	3
Optimal control for stochastic differential equations and related Kolmogorov equations	3
Impulsive hemivariational inequality for a class of history-dependent quasistatic frictional contact problems	3

Non-unique stationary solutions of even active scalar equations	3
Asymptotic Behavior of Serially-Connected Piezoelectric-Elastic smart design: Enhanced Polynomial and new Exponential Decay	3
Decay of solutions for second gradient viscoelasticity with type Ⅱ heat conduction	3
A kind of observer-based active disturbance rejection control method for the stabilization of a class of Timoshenko beams	3
On the exact controllability for the Benney-Luke equation in a bounded domain	3
Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations	3
Pullback attractors for weak solution to modified Kelvin-Voigt model	3
Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law	3
Effective filtering for slow-fast systems via Wong-Zakai approximation	3
Second order dynamical systems governed by maximally monotone operators: Quantitative stability	3
Approximate controllability for a class of instantaneous and non-instantaneous impulsive semilinear system with finite time delay	3
On time fractional pseudo-parabolic equations with nonlocal integral conditions	3
Stability estimate for a partial data inverse problem for the convection-diffusion equation	3
Pseudo $ S $-asymptotically Bloch type periodic solutions to a damped evolution equation	3
Estimating two time-varying reaction coefficients in a water quality model from inexact initial and boundary data	3
Evolution families in the framework of maximal regularity	3
Boundary controllability for a coupled system of degenerate/singular parabolic equations	3
Approximate controllability of nonconvex valued semilinear differential inclusion	2
Analysis of nonlinear fractional diffusion equations with a Riemann-liouville derivative	2
Local exact controllability to constant trajectories for Navier-Stokes-Korteweg model	2
Robustness for coupled inclusions with respect to variable exponents	2
Optimal harvesting for a logistic model with grazing	2
Energy method for exponential stability of coupled one-dimensional hyperbolic PDE-ODE systems	2
On periodic solutions to a class of delay differential variational inequalities	2
Telegraph systems on networks and port-Hamiltonians. Ⅲ. Explicit representation and long-term behaviour	2
Global dynamics of Bazykin-type cross-diffusive model with indirect predator-taxis	2
Finite dimensional global attractor for a class of two-coupled nonlinear fractional Schrödinger equations	2
On the stabilization for the high-order Kadomtsev-Petviashvili and the Zakharov-Kuznetsov equations with localized damping	2
Boundedness and stabilization in a haptotaxis model of oncolytic virotherapy with nonlinear sensitivity	2
Pontryagin maximum principle for the optimal control of linearized compressible navier-stokes equations with state constraints	2
Blow-up of solutions to semilinear wave equations with a time-dependent strong damping	2
Memory approximate controllability properties for higher order Hilfer time-fractional evolution equations	2
Global exponential contraction of functional differential equations	2
Global-in-time solutions and Hölder continuity for quasilinear parabolic PDEs with mixed boundary conditions in the Bessel dual scale	2
Time-space fractional porous medium equations with nonlocal nonlinear terms	2
On the Cauchy problem for a derivative nonlinear Schrödinger equation with nonvanishing boundary conditions	2
On the existence and continuity results for viscoelastic problem parabolic equations	2
Controllability for the wave equation on graph with cycle and delta-prime vertex conditions	2
A convex relaxation method for free boundary problems	2
Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions	2
Multiplicative controllability of the reaction-diffusion equation on a parallelepiped with finitely many hyperplanes of change of sign	2
Envelope, singular solution, and finite-time stability	2
Exact controllability and stabilization for a general internal wave system of Benjamin-Ono type	2
Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces	2
Pullback attractors for non-autonomous MGT-Fourier system	2
Optimal control problems governed by Marguerre–von Kármán evolution equations with long memory	2
Boundedness in an attraction-repulsion chemotaxis system with both nonlinear signal production and consumption	2
Stochastic optimal switching and systems of variational inequalities with interconnected obstacles	2
Global weak solutions to a doubly haptotactic cross-diffusion system with $ p $-Laplacian diffusion	2
The Heavy ball method regularized by Tikhonov term. Simultaneous convergence of values and trajectories	2
Controllability for Schrödinger type system with mixed dispersion on compact star graphs	2
BV solutions of a convex sweeping process with a composed perturbation	2
On the existence of mild solutions of some partial functional integrodifferential equations with non continuous state-dependent delay function	2
From inertial systems to proximal flows: The large damping limit of implicit Hessian-driven dynamics	2
Stability of backward inverse problems for degenerate mean-field game systems	2
Riccati-based solution to the optimal control of linear evolution equations with finite memory	2
Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass	2
The method of extremal shift in control problems for evolution variational inequalities under disturbances	1
On the singular limit of a boundary delayed Kuramoto-Sivashinsky-Korteweg-de Vries equation: Well-posedness and stability results	1
Exact controllability of wave equations with internal control in moving boundary domain	1
Partial approximate controllability results for fractional order stochastic evolution equations using approximation method	1
Existence and regularity in inverse source problem for fractional reaction-subdiffusion equation perturbed by locally Lipschitz sources	1
New criteria for exponential stability in mean square of stochastic functional differential equations with infinite delay	1
An anisotropic tempered fractional $ p $-Laplacian model involving logarithmic nonlinearity	1
Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation	1
Global weak solutions to a chemotaxis system for virus dynamics with <inline-formula><tex-math id="M1">$ p $</tex-math></inline-formula>-Laplacian diffusion and singular sensit	1
Optimal control of 3D Navier-Stokes-Voigt equations for convex control constraints	1
Long-time behavior of a size-structured population model with diffusion and delayed birth process	1
Numerical solution to the linearized model of a clamped-free plate using nonconforming finite elements	1
Identifiability of some space dependent coefficients in a wave equation of nonlinear acoustics	1
Almost periodic type functions and densities	1
Control of fractional in-time Schrodinger equations via comprehensive Caputo derivative strategies	1
Persistence of superoscillations under the Schrödinger equation	1
Mean continuity and local controllability of pullback random attractors for random nonlocal equations	1
Global existence and uniqueness of weak solutions to a one-dimensional moisture transport model for porous materials	1
Feedback control problems for a class of backward Riemann-Liouville fractional evolution hemivariational inequalities with dual operators	1
Time periodic solution to chemotaxis-shallow water system in a periodic domain	1
Linear subdiffusion in weighted fractional Hölder spaces	1
Time optimal control for a class of evolutionary equations with applications	1
The necessary optimal condition of inverse heat source problem	1

Null-controllability for weakly dissipative heat-like equations	1
Null controllability of KdV equation in a star-shaped network	1
Asymptotic behavior and life-span estimates for the damped inhomogeneous nonlinear Schrödinger equation	1
Kato's inequality for <inline-formula><tex-math id="M1">$ m $</tex-math></inline-formula>-Laplace operator on locally finite graphs and applications	1
Sweeping process with unbounded delayed perturbation	1
Boundary controllability and stabilizability of a coupled first-order hyperbolic-elliptic system	1
A class of viscoelastic evolution equation on manifolds with conical singularities	1
The global existence of the solution to the stage-structured SIR system for rumor spreading and its regularity	1
Optimal regional control for a class of semilinear fractional evolution equations	1
Pullback trajectory attractors	1
Global boundedness for a predator-prey model with nonlinear indirect pursuit-evasion effect	1
Energy decay rate of the generalized Rao-Nakra beam with singular local Kelvin-Voigt damping	1
Stability and optimal control for an age-structured model of periodical cicadas	1
Controllability of fractional measure evolution systems with state-dependent delay and nonlocal condition	1
Lifespan of solutions to a damped plate equation with logarithmic nonlinearity	1
Dispersive decay bound of small data solutions to higher order KdV-type equations with low order nonlinearity	1
Boundedness in a flux-limited chemotaxis-haptotaxis model with nonlinear diffusion	1
Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential	1
Asymptotic autonomy of random attractors for non-autonomous stochastic Navier-Stokes equations on bounded domains	1
Asymptotic behaviour of a 2D Piezoelectric beam with magnetic effect on a rectangular or annular domain: Case without geometric conditions	1
Mathematical analysis of an abstract model and its applications to structured populations (I)	1
Stabilization for some degenerate wave equations	1
Extended angle conditions for the study of the asymptotic behaviour of some continuous and discrete forced dynamical systems	1
Existence and uniqueness of mild solutions for quasi-linear fractional integro-differential equations	1
Asymptotic analysis of an age-structured predator-prey model with ratio-dependent Holling Ⅲ functional response and delays	1
Stability of a damped wave equation on an infinite star-shaped network	1
Existence results for fractional impulsive delay feedback control systems with Caputo fractional derivatives	1
(<i>L<sup>p</sup></i>, <i>L<sup>q</sup></i>) Hyers-Ulam stability	1
Functional inequalities involving nonlocal operators on complete Riemannian manifolds and their applications to the fractional porous medium equation	1
Control of a flexible satellite with an internal nonlinear disturbance	1
Stability result of the Kawahara equation with localized damping and time-varying delay	1
On stability and regularity of solutions to generalized Rayleigh-Stokes equations involving delays in Hilbert scales	1
Global bounded solutions in a higher-dimensional SIS reaction-diffusion-chemotaxis epidemic model with flux limitation and nonlinear incidence	1
Null controllability for stochastic parabolic equations with Robin boundary conditions	1
Well-posedness and stability of non-autonomous semilinear input-output systems	1
Controllability, decay of solutions and numerical simulations for a quasi-linear equation	1
Decay estimates for a perturbed two-terms space-time fractional diffusive problem	1
A system of Hilfer fractional differential equation combined with quasi-hemivariational inequality deriving from contact mechanics	1
Boundary null controllability for the heat equation with dynamic boundary conditions	1
Analysis of a linearized poromechanics model for incompressible and nearly incompressible materials	1
The lifespan of solutions for a viscoelastic wave equation with a strong damping and logarithmic nonlinearity	1
Dynamics of nonlinear anomalous reaction-diffusion models: Global existence and blow-up of solutions	1
Global boundedness of a density-dependent SIRS epidemic model with nonlinear infection mechanism	1
Final state observability in Banach spaces with applications to subordination and semigroups induced by Lévy processes	1
A special form of solution to half-wave equations	1