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 :
