Exponential Stability of Linear Discrete Systems with Multiple Delays-Reference-Cited by-同舟云学术

Exponential Stability of Linear Discrete Systems with Multiple Delays

Published:2018-08-01 Issue: Volume:2018 Page:1-7
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Baštinec J.¹,Demchenko H.²,Diblík J.¹^ORCID,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 s∈N, A and Bi are square matrices, and mi∈N. 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

Link

http://downloads.hindawi.com/journals/ddns/2018/9703919.pdf

Reference17 articles.

1. Stability conditions for linear delay difference equations: a survey and perspectives

2. Stability switches in linear delay difference equations

3. Exponential Stability of Linear Discrete Systems with Variable Delays via Lyapunov Second Method

4. Exponential stability of linear discrete systems with constant coefficients and single delay

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