Discontinuous integro-differential equations and sliding mode control

Fuente: arXiv
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Autore principale: Polyakov, Andrey
Natura: Preprint
Pubblicazione: 2025
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author Polyakov, Andrey
author_facet Polyakov, Andrey
contents The paper deals with analysis and design of sliding mode control systems modeled by finite-dimensional integro-differential equations. Filippov method and equivalent control approach are extended to a class of nonlinear discontinuous integro-differential equations and to a class of control systems modeled by infinite-dimensional differential equations in Banach spaces. Sliding mode control algorithms are designed for distributed input delay systems and for a heat control system.
format Preprint
id arxiv_https___arxiv_org_abs_2505_10116
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Discontinuous integro-differential equations and sliding mode control
Polyakov, Andrey
Optimization and Control
Systems and Control
93C23, 34K39
The paper deals with analysis and design of sliding mode control systems modeled by finite-dimensional integro-differential equations. Filippov method and equivalent control approach are extended to a class of nonlinear discontinuous integro-differential equations and to a class of control systems modeled by infinite-dimensional differential equations in Banach spaces. Sliding mode control algorithms are designed for distributed input delay systems and for a heat control system.
title Discontinuous integro-differential equations and sliding mode control
topic Optimization and Control
Systems and Control
93C23, 34K39
url https://arxiv.org/abs/2505.10116