Title :
A note on periodic Lyapunov equations
Author :
Kano, Hiroyuki ; Nishimura, Toshimitsu
Author_Institution :
Dept. of Inf. Sci., Tokyo Denki Univ., Saitama, Japan
Abstract :
Periodic Lyapunov differential equations are studied arising in stability analysis of linear periodic systems. Existence conditions of periodic solution, its nonsingularity and sign-definiteness are established in connection with the stability, observability and detectability of systems. The results are useful not only for stability analysis but for periodic Riccati equations in H∞ control problems, robust stabilization problems, and so forth. A condition is also derived for a class of periodic systems perturbed by nonperiodic terms to be quadratically stable
Keywords :
Lyapunov matrix equations; control system analysis; differential equations; periodic control; stability; time-varying systems; H∞ control problems; detectability; linear periodic systems; nonperiodic terms; nonsingularity; observability; periodic Lyapunov differential equations; periodic Riccati equations; quadratic stability; robust stabilization problems; sign-definiteness; stability analysis; Differential equations; Eigenvalues and eigenfunctions; Observability; Riccati equations; Robust control; Stability analysis;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.574243
