Exponential Stability of Linear Discrete Systems with Multiple Delays

Author:

Baštinec J.1,Demchenko H.2,Diblík J.1ORCID,Khusainov D. Ya.1

Affiliation:

1. Brno University of Technology, CEITEC-Central European Institute of Technology, Brno, Czech Republic

2. Brno University of Technology, Faculty of Electrical Engineering and Communication Brno, Czech Republic

Abstract

The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with multiple delays xk+1=Axk+i=1sBixk-mi, k=0,1,, where sN, A and Bi are square matrices, and miN. New criterion for exponential stability is proved by the Lyapunov method. An estimate of the norm of solutions is given as well and relations to the well-known results are discussed.

Funder

Grantová Agentura Ceské Republiky

Publisher

Hindawi Limited

Subject

Modelling and Simulation

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