Impulsive semilinear heat equation with delay in control and in state

O Camacho, H Leiva - Asian Journal of Control, 2020 - Wiley Online Library
In this paper, we prove the interior approximate controllability of the impulsive semilinear
heat equation with delay in control and in state by proving first that the linear heat equation …

On partial approximate controllability of semilinear systems

AE Bashirov, N Ghahramanlou - Cogent Engineering, 2014 - Taylor & Francis
In this paper, a sufficient condition for the partial approximate controllability of semilinear
deterministic control systems is proved. Generally, the theorems on controllability are …

The controllability of damped fractional differential system with impulses and state delay

M Nawaz, J Wei, J Sheng, AU Khan - Advances in Difference Equations, 2020 - Springer
We discuss the controllability for a damped fractional differential system with impulses and
state delay, which involves Caputo fractional derivatives. Deriving the condition based on …

Approximate controllability of the impulsive semilinear heat equation

H Leiva, N Merentes - Journal of Mathematics and Applications, 2015 - infona.pl
In this paper we apply Rothe's Fixed Point Theorem to prove the interior approximate
controllability of the following semilinear impulsive Heat Equation [...] where k= 1, 2,..., p, Ω is …

Qualitative properties for the 1 − D impulsive wave equation: controllability and observability

A Ben Aissa, W Zouhair - Quaestiones Mathematicae, 2022 - Taylor & Francis
In this paper, we establish some important results for the impulsive wave equation. We begin
by proving the existence of a solution. Then, we study the impulse approximate …

On partial S-controllability of semilinear partially observable systems

AE Bashirov, N Ghahramanlou - International Journal of Control, 2015 - Taylor & Francis
In this paper, the partial S-controllability of semilinear partially observable control systems is
investigated. The essence of study is the presence of partial observations. We define a …

Controllability of the impulsive semilinear heat equation with memory and delay

C Guevara, H Leiva - Journal of Dynamical and Control Systems, 2018 - Springer
For many control systems in real life, impulses and delays are intrinsic properties that do not
modify their controllability. So we conjecture that under certain conditions the abrupt …

[PDF][PDF] Existence, uniqueness and controllability analysis of Benjamin-Bona-Mahony equation with non instantaneous impulses, delay and non local conditions

H Leiva, W Zouhair, D Cabada - J. Math. Control. Sci. Appl., 2021 - mukpublications.com
The main purpose of this article is to prove existence and uniqueness of the solutions for a
semilinear evolution equation with non-instantaneous impulses, delay and nonlocal …

On controllability of second order dynamical systems–a survey

J Klamka, J Wyrwał, R Zawiski - Bulletin of the Polish Academy of …, 2017 - yadda.icm.edu.pl
The paper presents a survey of recent results in the area of controllability of second order
dynamical systems. Controllability problem for finite and infinite dimensional, linear …

Controllability of the impulsive functional BBM equation with nonlinear term involving spatial derivative

H Leiva - Systems & Control Letters, 2017 - Elsevier
For a broad class of control systems modeling real-life problems, delays and impulses are
natural properties that do not modify their behavior. So, we conjecture that under certain …