Existence and exact controllability of fractional evolution inclusions with damping
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4325
Abstract: The aim of this paper is to deal with the existence of mild solutions and exact controllability for a class of fractional evolution inclusions with damping (FEID, for short) in Banach spaces. Firstly, we provide… read more here.
Keywords: existence; inclusions damping; evolution inclusions; existence exact ... See more keywords
Exact controllability of thermoelastic plate equation with memory
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5514
Abstract: In this paper, we consider exact control problem for a coupled system of plate with Gurtin‐Pipkin equation. Using duality arguments, the problem is reduced to the obtention of suitable observability estimates for the dual system.… read more here.
Keywords: system; plate; equation; controllability thermoelastic ... See more keywords
Exact controllability for some degenerate wave equations
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6464
Abstract: In this paper, we study one‐dimensional linear degenerate wave equations with a distributed controller. We establish observability inequalities for degenerate wave equation by multiplier method. We also deduce the exact controllability for degenerate wave equation… read more here.
Keywords: degenerate; controllability degenerate; wave equations; exact controllability ... See more keywords
Exact controllability of non-Lipschitz semilinear systems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0550-5
Abstract: We present sufficient conditions for exact controllability of a semilinear infinite-dimensional dynamical system. The system mild solution is formed by a noncompact semigroup and a nonlinear disturbance that does not need to be Lipschitz continuous.… read more here.
Keywords: lipschitz semilinear; semilinear systems; controllability; exact controllability ... See more keywords
Approximate and Exact Controllability of Switched Infinite-Dimensional Linear Systems
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2021.3121342
Abstract: This article addresses the approximate and exact controllability issues of switched infinite-dimensional linear systems. First, a controllability map that is related to switching sequence and a controllability Gramian operator are proposed, based on which two… read more here.
Keywords: exact controllability; approximate exact; controllability; infinite dimensional ... See more keywords
Exact Controllability for Wave Equations with Switching Controls
Sign Up to like & getrecommendations! Published in 2017 at "Taiwanese Journal of Mathematics"
DOI: 10.11650/tjm/170803
Abstract: In this paper, we analyze the exact controllability problem for wave equations endowed with switching controls. The goal is to control the dynamics of the system by switching among different actuators such that, in each… read more here.
Keywords: switching controls; controllability wave; exact controllability; equations switching ... See more keywords
Hautus–Yamamoto criteria for approximate and exact controllability of linear difference delay equations
Sign Up to like & getrecommendations! Published in 2022 at "Discrete and Continuous Dynamical Systems"
DOI: 10.3934/dcds.2023049
Abstract: The paper deals with the controllability of finite-dimensional linear difference delay equations, i.e., dynamics for which the state at a given time $t$ is obtained as a linear combination of the control evaluated at time… read more here.
Keywords: exact controllability; linear difference; delay equations; difference delay ... See more keywords
Exact controllability results for a class of abstract nonlocal Cauchy problem with impulsive conditions
Sign Up to like & getrecommendations! Published in 2017 at "Evolution Equations and Control Theory"
DOI: 10.3934/eect.2017030
Abstract: This paper deals with exact controllability of a class of abstract nonlocal Cauchy problem with impulsive conditions in Banach spaces. By using Sadovskii fixed point theorem and Monch fixed point theorem, exact controllability results are… read more here.
Keywords: class abstract; nonlocal cauchy; cauchy problem; abstract nonlocal ... See more keywords
Global exact controllability to the trajectories of the Kuramoto-Sivashinsky equation
Sign Up to like & getrecommendations! Published in 2020 at "Evolution Equations and Control Theory"
DOI: 10.3934/eect.2020002
Abstract: In this paper, we establish the global exact controllability to the trajectories of the Kuramoto-Sivashinsky equation by five controls: one control is the right member of the equation and is constant with respect to the… read more here.
Keywords: exact controllability; kuramoto sivashinsky; global exact; trajectories kuramoto ... See more keywords