An LMI condition for asymptotic stability of discrete-time system based on quadratic difference forms

Author

Kojima, Chiaki ; Takaba, Kiyotsugu

Author_Institution

Dept. of Appl. Math. & Phys., Kyoto Univ.

fYear

2006

fDate

4-6 Oct. 2006

Firstpage

1139

Lastpage

1143

Abstract

This paper is concerned with the stability analysis of a linear discrete-time system described by a high-order difference-algebraic equation. It is well known that, in the behavioral approach, a Lyapunov for a linear system is characterized in terms of a so-called quadratic difference form (QDF). For a discrete-time case, Kojima and Takaba (2005) derived a necessary and sufficient condition for the asymptotic stability in terms of the QDFs. On the basis of this QDF condition, we derive a numerically more tractable stability condition in terms of LMIs

Keywords

Lyapunov matrix equations; asymptotic stability; differential algebraic equations; discrete time systems; linear matrix inequalities; linear systems; Lyapunov method; asymptotic stability; high-order difference-algebraic equation; linear discrete-time system; linear matrix inequalities; quadratic difference forms; Asymptotic stability; Control systems; Difference equations; Linear systems; Lyapunov method; Polynomials; Stability analysis; Sufficient conditions; Symmetric matrices; System analysis and design;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006 IEEE

Conference_Location

Munich

Print_ISBN

0-7803-9797-5

Electronic_ISBN

0-7803-9797-5

Type

conf

DOI

10.1109/CACSD-CCA-ISIC.2006.4776803

Filename

4776803