A converse Lyapunov theorem for nonlinear switched systems

By J. L. Mancilla-Aguilar, R. García. 2000

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Analysis and synthesis of switched linear control systems (2005, background): “The issues of controllability and reachability were addressed byLoparo, Aslanis, and IIajek (1987)for continuous-time planar switched systems.”
Stabilization of nonlinear switched systems using control Lyapunov functions (2007, background): “Even if the results are more constructive, the class of systems studied in [7] is included in the one studied in [6].”
Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results (2009, background): “The converse Lyapunov theorem was extended in [55] to switched nonlinear systems that are globally uniformly asymptotically stable with respect to a compact forward invariant set.”
Output feedback variable structure control for a class of uncertain switched systems (2009, background): “In recent decades, there has been enormous growth of interest in stability and design of switched systems [2–4].”