Title :
The strict bounded real lemma for linear time-varying systems
Author :
Chen, Wanyi ; Tu, Fengsheng
Author_Institution :
Dept. of Math., Nankai Univ., Tianjin, China
Abstract :
Presents a strict bounded real lemma for linear time-varying systems in the infinite-horizon case. Using some operator methods, the authors show that the strict bounded realness for the related I/O operators is equivalent to the solvability of a semidefinite or definite Riccati equation. The authors also apply this result to the problem of disturbance attenuation and H∞-optimization. All the authors´ results include current ones in literature for linear time-invariant systems
Keywords :
H∞ optimisation; Riccati equations; linear systems; time-varying systems; H∞-optimization; I/O operators; definite Riccati equation; disturbance attenuation; infinite-horizon; linear time-invariant systems; linear time-varying systems; operator methods; semidefinite Riccati equation; solvability; strict bounded real lemma; strict bounded realness; Attenuation; Character generation; Control systems; Linear systems; Mathematics; Riccati equations; State estimation; State feedback; Time varying systems;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478991
