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 | |
| Publication status | Published - Jan 1 2014 |
| Externally published | Yes |
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All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering
Cite this
A sufficient condition for the stability of discrete-time systems with state-dependent coefficient matrices. / Yuno, Tsuyoshi; Ohtsuka, Toshiyuki.
In: IEEE Transactions on Automatic Control, Vol. 59, No. 1, 6544591, 01.01.2014, p. 243-248.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A sufficient condition for the stability of discrete-time systems with state-dependent coefficient matrices
AU - Yuno, Tsuyoshi
AU - Ohtsuka, Toshiyuki
PY - 2014/1/1
Y1 - 2014/1/1
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=84891621369&partnerID=8YFLogxK
U2 - 10.1109/TAC.2013.2270318
DO - 10.1109/TAC.2013.2270318
M3 - Article
VL - 59
SP - 243
EP - 248
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 1
M1 - 6544591
ER -