STABILITY OF NEUTRAL INTEGRO-DIFFERENTIAL SYSTEMS WITH INFINITE DELAYS

Iyai Davies and Olivier C. L. Haas

Department of Mathematics, Rivers State University, Port Harcourt, Rivers State, Nigeria

Control Theory and Application Centre (CTAC), The Futures Institute, Faculty of Engineering and Computing, Coventry University, 10 Coventry Innovation Village, Coventry University Technology Park, Cheetah Road, Coventry, CV1 2TL, United Kingdom

Abstract

The aim of this paper is to establish stability results for neutral integro-differential systems having infinite delays by using the Lyapunov-Razumikhin technique. Total asymptotic stability results are presented by using the uniform stability properties of the functional difference operator for neutral systems. An example is given to illustrate the theoretical analysis.

Keywords: Neutral system, stability, integro-differential system, infinite delays, Lyapunov-Razumikhin  technique. Subject classification codes: 34K20, 34K40. 

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