Title :
Finite-time stability for discrete-time singular systems with time-delay and nonlinear perturbations
Author :
Stojanovic, Sreten B. ; Debeljkovic, Dragutin L. J. ; Buzurovic, Ivan M.
Author_Institution :
Dept. of Eng. Sci. & Math., Univ. of Nis, Leskovac, Serbia
Abstract :
This paper is concerned with the problem of finite-time stability of a class of discrete-time singular system with time-delay and nonlinear perturbations. By using discrete Lyapunov function approach, new stability criterion is derived in terms of strict linear matrix inequality to guarantee the system to be regular, causal and finite-time stable. A numerical example is provided to illustrate the effectiveness of the proposed method.
Keywords :
Lyapunov methods; delay systems; discrete time systems; linear matrix inequalities; nonlinear control systems; perturbation techniques; stability criteria; discrete Lyapunov function approach; discrete-time singular system; finite-time stability; finite-time stable; linear matrix inequality; nonlinear perturbation; stability criterion; time-delay; Delay effects; Lyapunov methods; Mathematical model; Numerical stability; Stability criteria; Symmetric matrices;
Conference_Titel :
Systems and Control (ICSC), 2015 4th International Conference on
Conference_Location :
Sousse
Print_ISBN :
978-1-4673-7108-7
DOI :
10.1109/ICoSC.2015.7152769
