Lyapunov stability analysis of higher-order 2-D systems

— 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.

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: Chiaki Kojima, Paolo Rapisarda, Kiyotsugu Takaba
• Keywords: Autonomous 2-D Behavior, CDC 2009, Control Systems, Lyapunov Functionals, Sufficient Conditions