The jump from nonlinear to hybrid systems: where’s the impact?
نویسنده
چکیده
This paper presents a converse Lyapunov function theorem motivated by robust control analysis and design. Our result is based upon, but generalizes, various aspects of wellknown classical theorems. In a unified and natural manner, it (1) allows arbitrary bounded timevarying parameters in the system description, (2) deals with global asymptotic stability, (3) results in smooth (infinitely differentiable) Lyapunov functions, and (4) applies to stability with respect to not necessarily compact invariant sets. Key words, nonlinear stability, stability with respect to sets, Lyapunov function techniques, robust stability AMS subject classifications. 93D05, 93D09, 93D20, 34D20
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