A note on periodic Lyapunov equations

Author

Kano, Hiroyuki ; Nishimura, Toshimitsu

Author_Institution

Dept. of Inf. Sci., Tokyo Denki Univ., Saitama, Japan

Volume

1

fYear

1996

fDate

11-13 Dec 1996

Firstpage

35

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.574243

Filename

574243