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An Extension of a Class of Systems That Have a Common Lyapunov Function
Takehiro MORI Hideki KOKAME
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1997/08/25
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Systems and Control
system matrix, common Lyapunov function, quadratic Lyapunov function, extension,
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An extension is made for a set of systems that have a quadratic Lyapunov function in common for the purpose of analysis and design. The nominal set of system matrices comprises stable symmetric matricies, which admit a hyperspherical Lyapunov function. Based on stability robustness results, sets of matrices are constructed so that they share the same Lyapunov function with the nominal ones.