Diagonal stability of a class of discrete-time positive switched systems\n with delay

2017/09/28 by A. Yu. Aleksandrov, Oliver Mason, Aleksandrov, Alexander +1
Engineering · #Adaptive Control of Nonlinear Systems #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1709.10171

openalex publication_date 2017/09/28 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

A class of discrete-time nonlinear positive time-delay switched systems with\nsector-type nonlinearities is studied. Sufficient conditions for the existence\nof common and switched diagonal Lyapunov--Krasovskii functionals for this\nsystem class are derived; these are expressed as feasibility conditions for\nsystems of linear algebraic inequalities. Corresponding spectral conditions for\nthe existence of common L--K functionals are also described. Furthermore, it is\nshown that the proposed approaches can be applied to discrete-time models of\ndigital filters and neural networks. Finally, a numerical example is given to\nillustrate the effectiveness of theoretical results.\n

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