Discontinuous integro-differential equations and sliding mode control
Optimization and Control
2026-03-24 v3 Systems and Control
Systems and Control
Abstract
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.
Cite
@article{arxiv.2505.10116,
title = {Discontinuous integro-differential equations and sliding mode control},
author = {Andrey Polyakov},
journal= {arXiv preprint arXiv:2505.10116},
year = {2026}
}