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CDC
2008
IEEE

Simulation-aided reachability and local gain analysis for nonlinear dynamical systems

11 years 11 months ago
Simulation-aided reachability and local gain analysis for nonlinear dynamical systems
Abstract— We analyze reachability properties and local input/output gains of systems with polynomial vector fields. Upper bounds for the reachable set and nonlinear system gains are characterized by polynomial Lyapunov (storage) functions satisfying certain bilinear constraints. A methodology utilizing information from simulations to generate Lyapunov function candidates satisfying necessary conditions for bilinear constraints is proposed. The suitability of Lyapunov function candidates are assessed solving linear sum-of-squares optimization problems. Qualified candidates are used to compute upper bounds for the reachable set and nonlinear system gains and to initialize further coordinate-wise affine optimization. We illustrate the method on several examples from the literature.
Weehong Tan, Ufuk Topcu, Peter Seiler, Gary J. Bal
Added 29 May 2010
Updated 29 May 2010
Type Conference
Year 2008
Where CDC
Authors Weehong Tan, Ufuk Topcu, Peter Seiler, Gary J. Balas, Andrew K. Packard
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