Dissipativity Theory for Switched Systems

By Jun Zhao, David John Hill. Proceedings of the 44th IEEE Conference on Decision and Control, 2005

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Extended Hybrid Model Reference Adaptive Control of Piecewise Affine Systems (2015, methodology): “In what follows, we use the standard notation in [13] (also adopted in [14]), for both the switching instants of the plant and reference model.”
Switching Stabilization for a Class of Slowly Switched Systems (2015, background): “Most of the aforementioned results require that all the subsystems are asymptotically stable [33].”
Dissipativity-Based Sliding Mode Control of Switched Stochastic Systems (2013, background): “Dissipative systems can be regarded as a generalization of passive systems with more general internal and supplied energies [24].”
ℒ︁2‐Gain analysis and control of uncertain nonlinear systems with bounded disturbance inputs (2008, background): “Definition 1 (Dissipativity [1, 18]) A dynamical system as defined in (1) with a supply function sðw; zÞ is said to be dissipative if there exists a positive definite function V : X/Rþ (called the storage function) such that the D.”
Stability Analysis of Switched Linear Systems with Locally Overlapped Switching Law (2010, background): “Stability is a major and challenging issue in studying switched systems, because of complicated behavior caused by interaction between continuous and discrete dynamics [8].”