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Monotonicity of algebraic Lyapunov iterations for optimal control of jump parameter linear systems

✍ Scribed by Zoran Gajic; Ricardo Losada

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 101 KB
Volume: 41
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(00)00051-7

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✦ Synopsis

In this paper we show that the sequences of the solutions of the decoupled algebraic Lyapunov equations are monotonic under proper initialization. These sequences converge from above to the positive-semideÿnite stabilizing solutions of the system of coupled algebraic Riccati equations of the optimal control problem of jump parameter linear systems.

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