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math.OC2013
Control Contraction Metrics and Universal Stabilizability
Ian R. Manchester, Jean-Jacques E. Slotine
In this paper we introduce the concept of universal stabilizability: the condition that every solution of a nonlinear system can be globally stabilized. We give sufficient conditio…
math.OC2013
Stable Nonlinear Identification From Noisy Repeated Experiments via Convex Optimization
Mark M. Tobenkin, Ian R. Manchester, Alexandre Megretski
This paper introduces new techniques for using convex optimization to fit input-output data to a class of stable nonlinear dynamical models. We present an algorithm that guarantees…