DocumentCode
1501702
Title
Stability of Discrete-Time Systems Joined With a Saturation Operator on the State-Space 
Author
Ooba, Tatsushi
Author_Institution
Nagoya Inst. of Technol., Nagoya, Japan
Volume
55
Issue
9
fYear
2010
Firstpage
2153
Lastpage
2155
Abstract
This note studies the stability of discrete-time dynamical systems acted upon by a saturation process in the state-space. A finite procedure is proposed to focus on the asymptotic behavior of systems, which produces linear constraints imposed on Lyapunov-Stein matrix inequalities to be solved. A little linear algebra broadens the scope of stability test from that of the earlier Liu-Michel´s criterion.
Keywords
asymptotic stability; discrete time systems; linear matrix inequalities; state-space methods; Liu-Michel criterion; Lyapunov-Stein matrix inequalities; discrete time dynamical systems stability; linear algebra; linear constraints; saturation operator; state space saturation process; Eigenvalues and eigenfunctions; Image converters; Limit-cycles; Linear algebra; Linear matrix inequalities; Linear systems; Lyapunov method; Nonlinear systems; Stability criteria; Testing; LMIs; Limit cycles; saturation effects; stability of linear systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2010.2051192
Filename
5471187
Link To Document