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Exponentially Stable Nonlinear Systems Have Polynomial Lyapunov Functions on Bounded Regions

โœ Scribed by Peet, M.M.

Book ID
118153141
Publisher
IEEE
Year
2009
Tongue
English
Weight
272 KB
Volume
54
Category
Article
ISSN
0018-9286

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In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a quadratic Lyapunov function shows that it doesn't exist positive definite quadratic Lyapunov function that proves stability of the system, but doesn't show that the system isn't stable.