Sun, Tao; Liu, Tao; Sun, Xi-Ming Stability analysis of cyclic switched linear systems: an average cycle dwell time approach. (English) Zbl 1478.93477 Inf. Sci. 544, 227-237 (2021). Summary: In this paper, the stability problem of switched linear systems with a class of cyclic switching signals is investigated. Firstly, a new concept of average cycle dwell time (ACDT) is introduced to relax the conservativeness of cycle dwell time that is extensively used in the literature. In addition, the ACDT is further extended to stable cyclic switching sequence dependent average cycle dwell time (S-ACDT) and unstable cyclic switching sequence dependent average cycle dwell time (U-ACDT). Secondly, the stability criteria for cyclic switched linear (or nonlinear) systems with ACDT or both S-ACDT and U-ACDT are derived by resorting to a technique that uses multiple Lyapunov functions. Both cyclic switched linear systems and cyclic switched nonlinear systems which contain all stable subsystems or partly stable subsystems are studied. Finally, a numerical example is given to demonstrate the feasibility of the proposed techniques. Cited in 10 Documents MSC: 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory 93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) 93C05 Linear systems in control theory Keywords:stability; cyclic switched linear systems; average cycle dwell time; stable (or unstable) cyclic switching sequence dependent average cycle dwell time PDFBibTeX XMLCite \textit{T. Sun} et al., Inf. Sci. 544, 227--237 (2021; Zbl 1478.93477) Full Text: DOI References: [1] Yang, C.; Guan, Z. H.; Huang, J., Stochastic switched controller design of networked control systems with a random long delay, Asian J. 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