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Discontinuous integro-differential control systems with sliding modes (2505.10116v1)

Published 15 May 2025 in math.OC, cs.SY, and eess.SY

Abstract: The paper deals with analysis and design sliding mode control systems modeled by integro-differential equations. Filippov method and equivalent control approach are extended to a class of nonlinear discontinuous integro-differential equations. Sliding mode control algorithm is designed for a control system with distributed input delay. The obtained results are illustrated by numerical example.

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