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- W2094014292 abstract "First, the harmonic Lyapunov equations claimed on the Hilbert space l2 are restricted to the Banach space l1 for asymptotic stability of finite-dimensional linear continuous-time periodic (FDLCP) systems. Second, solutions to the harmonic Lyapunov equations are scrutinised. Third, the harmonic Lyapunov equations are connected with periodic matrix differential (PMD) Lyapunov equations. The connection sheds new light on periodic solutions to the PMD Lyapunov equations. Fourth, the trace formula of the H2 norm for FDLCP systems is shaped with periodic solutions to the PMD Lyapunov equations. Finally, an algorithm for computing periodic solutions to the PMD Lyapunov equations is proposed, which involves only solutions to algebraic Lyapunov equations. There are numerical examples to illustrate the results." @default.
- W2094014292 created "2016-06-24" @default.
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- W2094014292 date "2007-07-01" @default.
- W2094014292 modified "2023-10-16" @default.
- W2094014292 title "Harmonic Lyapunov equations in continuous-time periodic systems: solutions and properties" @default.
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- W2094014292 doi "https://doi.org/10.1049/iet-cta:20050382" @default.
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