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
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;
Conference_Titel :
Fuzzy Systems (FUZZ), 2011 IEEE International Conference on
Conference_Location :
Taipei
Print_ISBN :
978-1-4244-7315-1
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2011.6007328
