Title :
An Extension Result on Common Quadratic Lyapunov Functions
Author :
Wen, Yongge ; Zhao, Yongchi
Author_Institution :
Sch. of Math. & Comput. Sci., Mianyang Normal Univ., Mianyang, China
Abstract :
In this paper, two strong common quadratic Lyapunov functions(CQLF) is presented for sets of linear time-invariant time. We prove strictly diagonally dominant negative matrix and real symmetric negative matrix as stable dynamical systems which is exists solution of CQLF, and numerical results are given to illustrate derived results.
Keywords :
Lyapunov methods; functions; linear systems; matrix algebra; stability; time-varying systems; common quadratic Lyapunov functions; diagonally dominant negative matrix; real symmetric negative matrix; stable dynamical system; switched linear time-invariant system; Asymptotic stability; Lyapunov methods; Stability analysis; Sufficient conditions; Switched systems; Switches; Symmetric matrices;
Conference_Titel :
Control, Automation and Systems Engineering (CASE), 2011 International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4577-0859-6
DOI :
10.1109/ICCASE.2011.5997799
