Title :
Two conditions concerning common quadratic Lyapunov functions for linear systems
Author :
Ooba, Tatsushi ; Funahashi, Yasuyuki
Author_Institution :
Dept. of Mech. Eng., Nagoya Inst. of Technol., Japan
fDate :
5/1/1997 12:00:00 AM
Abstract :
Concerning a pair of linear systems, some triangle conditions for the existence of a common quadratic Lyapunov function are presented in this paper. These conditions are derived from a criterion for judging the semipositiveness of a linear map defined on symmetric matrices
Keywords :
Lyapunov methods; linear systems; matrix algebra; common quadratic Lyapunov functions; linear map; linear systems; semipositiveness; symmetric matrices; triangle conditions; Attenuation measurement; Automatic control; Control systems; Filtering theory; Linear matrix inequalities; Linear systems; Optimal control; Performance gain; Robust stability; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
