A sufficient condition for the stability of discrete-time systems with state-dependent coefficient matrices

Tsuyoshi Yuno; Toshiyuki Ohtsuka

doi:10.1109/TAC.2013.2270318

A sufficient condition for the stability of discrete-time systems with state-dependent coefficient matrices

Tsuyoshi Yuno, Toshiyuki Ohtsuka

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

There is no systematic method of checking the stability of general nonlinear systems. In this study, we focus on discrete-time autonomous systems with state-dependent coefficient matrices. Sufficient conditions for local and global asymptotic stabilities are given for upper-triangularizable systems. The transformation matrix for triangularization is not required explicitly for checking such conditions. Moreover, the system may have nondifferentiability at the origin, which is an advantage of our approach over Lyapunov's indirect method.

Original language	English
Article number	6544591
Pages (from-to)	243-248
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	59
Issue number	1
DOIs	https://doi.org/10.1109/TAC.2013.2270318
Publication status	Published - Jan 2014
Externally published	Yes

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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A sufficient condition for the stability of discrete-time systems with state-dependent coefficient matrices

Abstract

All Science Journal Classification (ASJC) codes

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