Stability and exponential stability of linear discrete systems with constant coefficients and single delay

Diblík J., Khusainov D.Ya., Baštinec J. and Sirenko A.S.

Applied Mathematics and Computation, 2015, vol. 269, issue C, 9-16

Abstract: This paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with single delay x(k+1)=Ax(k)+Bx(k−m),k=0,1,…where A, B are square constant matrices and m∈N. Sufficient conditions for exponential stability are derived using the method of Lyapunov functions and its efficiency is demonstrated by examples.

Keywords: Stability; Lyapunov function; Delay; Discrete system; Matrix equation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:269:y:2015:i:c:p:9-16

DOI: 10.1016/j.amc.2015.07.037

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