DocumentCode
3116701
Title
Sum of squares solutions assuring non-quadratic discrete stability
Author
Lo, Ji-Chang ; Kao, Jhen-Shun
Author_Institution
Mech. Eng., Nat. Central Univ., Jhongli, Taiwan
fYear
2011
fDate
27-30 June 2011
Firstpage
311
Lastpage
314
Abstract
A new stability condition in terms of SOS is studied in this paper for discrete-time fuzzy systems. Based on a parameter-dependent Lyapunov function, we study asymptotically SOS relaxation families, reducing the conservatism that commonly exists in the quadratic stability approaches.
Keywords
Lyapunov methods; discrete time systems; fuzzy systems; stability; asymptotically SOS relaxation families; discrete time fuzzy systems; nonquadratic discrete stability; parameter dependent Lyapunov function; quadratic stability approaches; sum of squares solutions; Asymptotic stability; Fuzzy systems; Lyapunov methods; Polynomials; Stability criteria; Symmetric matrices; Copositive relaxations; Linear matrix inequality; Premise-dependent Lyapunov function; Sum of Squares; TS fuzzy model;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems (FUZZ), 2011 IEEE International Conference on
Conference_Location
Taipei
ISSN
1098-7584
Print_ISBN
978-1-4244-7315-1
Electronic_ISBN
1098-7584
Type
conf
DOI
10.1109/FUZZY.2011.6007328
Filename
6007328
Link To Document