Title :
On a common quadratic Lyapunov function for widely distant systems
Author :
Ooba, Tatsushi ; Funahashi, Yasuyuki
Author_Institution :
Dept. of Mech. Eng., Nagoya Inst. of Technol., Japan
fDate :
12/1/1997 12:00:00 AM
Abstract :
A sufficient condition concerning the construction of a common quadratic Lyapunov function for widely distant linear systems is presented. The condition is set on a mutual relation matrix whose size is just equal to the number of the coefficient matrices
Keywords :
Lyapunov matrix equations; control system analysis; linear systems; stability; coefficient matrix; linear dynamical systems; mutual relation matrix; positive matrix; quadratic Lyapunov function; stability; sufficient condition; widely distant systems; Linear matrix inequalities; Linear systems; Lyapunov method; Matrix converters; Mechanical engineering; Polynomials; Riccati equations; Stability; Sufficient conditions; Switching systems;
Journal_Title :
Automatic Control, IEEE Transactions on