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 …

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 semilinear impulsive evolution equations

H Leiva - Abstract and Applied Analysis, 2015 - Wiley Online Library
We prove the approximate controllability of the following semilinear impulsive evolution
equation: z′= Az+ Bu (t)+ F (t, z, u), z∈ Z, t∈(0, τ], z (0)= z0, z (tk+)= z (tk-)+ I k (tk, z (tk), u …

Roughness of the controllability for time varying systems under the influence of impulses, delay, and nonlocal conditions

H Leiva, D Cabada, R Gallo - Nonautonomous Dynamical Systems, 2020 - degruyter.com
In this paper, we prove that the controllability of time varying linear system is preserved if we
add impulses, delay and nonlocal conditions on it. In order to do that, we assume some …

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 …

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 …

Controllability of time-varying systems with impulses, delays and nonlocal conditions

H Leiva, D Cabada, R Gallo - Afrika Matematika, 2021 - Springer
In this paper, we prove the controllability of time-varying semilinear systems with impulses,
delay, and nonlocal Conditions, where some ideas are taking from previous works for this …

[PDF][PDF] Pontryagin's Maximum Principle for Optimal Control Problems Governed by Nonlinear Impulsive Differential Equations

H Leiva - Journal of Mathematics and Applications, 2023 - journals.prz.edu.pl
In this paper, we derive the Pontryagin's maximum principle for optimal control problems
governed by nonlinear impulsive differential equations. Our method is based on Dubovitskii …

Approximated controllability of the strongly damped impulsive semilinear wave equation with memory and delay

C Guevara, H Leiva - IFAC Journal of Systems and Control, 2018 - Elsevier
This article studies the interior approximated controllability of the strongly damped
semilinear wave equation with memory, impulses and delay terms. The problem is …

[PDF][PDF] Controllability of non-autonomous semilinear neutral equations with impulses and non-local conditions

R Chachalo, H Leiva, L Riera - Journal of Mathematical …, 2020 - mukpublications.com
In this work we study the controllability of a control system governed by a non-autonomous
semilinear neutral equations with impulses and non-local conditions. The idea is to see …