A Delay-Dependent Approach to Stability of Uncertain Discrete-Time State-Delayed Systems with Generalized Overflow Nonlinearities. (5th November 2012)

• Record Type: Journal Article
• Authors: Kandanvli, V. Krishna Rao; Kar, Haranath
• Other Names: Bella G. Academic Editor.; Dujella A. Academic Editor.; Hu M.-B. Academic Editor.; López-Ruiz R. Academic Editor.
• Is Part Of: ISRN computational mathematics. Volume 2012(2012)
• Publication Date: 2012-11-05
• Subjects: Numerical analysis -- Periodicals; Mathematics -- Data processing -- Periodicals; Mathematics -- Data processing; Numerical analysis; Electronic journals; Periodicals; 510
• DOI: 10.5402/2012/171606
• Languages: English
• ISSNs: 2090-7842

Abstract

Abstract : This paper addresses the problem of global asymptotic stability of a class of uncertain discrete-time state-delayed systems employing generalized overflow nonlinearities. The systems under investigation involve parameter uncertainties that are assumed to be deterministic and norm bounded. A new computationally tractable delay-dependent criterion for global asymptotic stability of such systems is presented. A numerical example is given to illustrate the effectiveness of the proposed method.