Title :
Input-to-state stability of a class of discrete time descriptor systems
Author :
Juan, Zhou ; Jinghao, Li
Author_Institution :
Inst. of Syst. Sci., Northeastern Univ., Shenyang, China
Abstract :
Input-to-state stability(ISS) of discrete time descriptor systems with internal disturbances is investigated in this paper.We extend the concept of input to state stability (ISS) for standard state-space nonlinear systems to descriptor systems. Based on the ISS theory of standard state-space nonlinear systems, a sufficient condition for a class of nonlinear descriptor system to be ISS is derived by using Lyapunov stability theory. Furthermore, a numerical example demonstrates the proposed results.
Keywords :
Lyapunov methods; discrete time systems; linear matrix inequalities; nonlinear control systems; stability; state-space methods; ISS theory; LMI; Lyapunov stability theory; discrete time descriptor systems; input-to-state stability; internal disturbances; linear matrix inequality; nonlinear descriptor system; standard state-space nonlinear systems; Lyapunov methods; Nonlinear systems; Numerical stability; Stability criteria; Standards; Vectors; Nonlinear descriptor systems; input-to-state stability; linear matrix inequality (LMI);
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6243999
