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32

CDC
2009
IEEE

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Lyapunov stability analysis of higher-order 2-D systems

14 years 3 months ago

Lyapunov stability analysis of higher-order 2-D systems

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— We give necessary and sufﬁcient conditions, based on the existence of a Lyapunov functional, for the asymptotic stability of a square autonomous 2-D behavior in the sense of Valcher. We also show how Lyapunov functionals can be computed solving a two-variable polynomial equation, and we give necessary and sufﬁcient conditions for the solvability of this equation for scalar systems.

Chiaki Kojima, Paolo Rapisarda, Kiyotsugu Takaba

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Autonomous 2-D Behavior | CDC 2009 | Control Systems | Lyapunov Functionals | Sufﬁcient Conditions |

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Added	21 Jul 2010
Updated	21 Jul 2010
Type	Conference
Year	2009
Where	CDC
Authors	Chiaki Kojima, Paolo Rapisarda, Kiyotsugu Takaba

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