Controllability of nonstationary discrete descriptor systems under conditions of invertibility of a transformation to a structural form

A. A. Shcheglova

Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk

Abstract: Nonstationary linear and nonlinear descriptor systems with discrete time are considered. In the linear case, criteria for state and output controllability on a finite horizon are obtained, and robust controllability conditions are found. For nonlinear systems, a theorem on local state controllability is proved using the properties of linear approximation.

Keywords: descriptor systems, discrete systems, nonstationary, nonlinear, controllability.

UDC: 517.926

Received: 04.03.2024
Revised: 12.08.2024

DOI: 10.4213/mzm14630

 English version: Mathematical Notes, 2025, 117:5, 850–867

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