Title :
Copositive relaxations to parameter-dependent Lyapunov functions
Author :
Lo, Ji-Chang ; Kao, Jhen-Shun
Author_Institution :
Mech. Eng., Nat. Central Univ., Jhongli, Taiwan
Abstract :
Based on a parameter-dependent Lyapunov function, we study asymptotically copositive relaxation families with certificate of convergence to the existence of parameter-dependent Lyapunov functions, releasing the conservatism that commonly exists in the quadratic stability approaches.
Keywords :
Lyapunov matrix equations; asymptotic stability; convergence; fuzzy control; asymptotically copositive relaxation; convergence; parameter-dependent Lyapunov functions; quadratic stability approaches; Asymptotic stability; Fuzzy control; Lyapunov methods; Polynomials; Stability analysis; Symmetric matrices; Copositive relaxations; Linear matrix inequality; Premise-dependent Lyapunov function; Sum of squares; TS fuzzy model;
Conference_Titel :
System Science and Engineering (ICSSE), 2011 International Conference on
Conference_Location :
Macao
Print_ISBN :
978-1-61284-351-3
Electronic_ISBN :
978-1-61284-472-5
DOI :
10.1109/ICSSE.2011.5961927
