On Analyzing the Stability of Discrete Descriptor Systems via Generalized Lyapunov Equations

Qingling Zhang,Liqian Zhang,James Lam

doi:10.1007/978-3-540-36510-5_43

On Analyzing the Stability of Discrete Descriptor Systems via Generalized Lyapunov Equations

Qingling Zhang, Liqian Zhang + Show 1 more

https://doi.org/10.1007/978-3-540-36510-5_43

Copy DOI

Publication Date: Jan 1, 2003

Citations: 1

Affiliation: Northeastern University, University of Hong Kong

#Generalized Lyapunov Equation #Descriptor Systems + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

In this paper, the asymptotic stability of linear discrete time-invariant descriptor systems is studied via a generalized Lyapunov equation. The analysis covers both the causal and noncausal cases. In particular, the asymptotic stability of a discrete descriptor system (DDS) is related to the existence of a positive semidefinite solution of the generalized Lyapunov equation. The results strengthened those of earlier works for causal descriptor systems.

Full Text