Zhou, Jun (Kyoto Univ.)

Further Results about Harmonic Lyapunov Equations in Linear Continuous-Time Periodic Systems

Scheduled for presentation during the Regular Session "Periodic systems" (FrP13), Friday, July 28, 2006, 16:10−16:35, Room 101

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 19, 2024

Abstract

This paper talks about some results about the harmonic Lyapunov equation defined densely on the infinite-dimensional Hilbert space $l_2$ for asymptotic stability analysis of finite-dimensional linear continuous-time periodic (FDLCP) systems. Topics include: (i). Restriction of the harmonic Lyapunov equations to the Banach space $l_1$; (ii). Properties of solutions to the harmonic Lyapunov equations; (iii). Solution relationships with periodic matrix differential (PMD) Lyapunov equations; (iv). Algorithms for computing periodic solutions to the PMD Lyapunov equations, which involves only solutions to algebraic Lyapunov equations.