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Stability of piecewise linear systems revisited
Annual Reviews in Control, 2010Abstract Piecewise linear systems are important in representing and approximating many practical systems with complex dynamics. While stability analysis of switched linear systems are notoriously challenging, several powerful tools have been developed to cope with the challenges.
Zhendong Sun
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Singular perturbation in piecewise-linear systems
IEEE Transactions on Automatic Control, 1988This note analyzes piecewise-linear systems which are singularly perturbed. A technique is developed that allows decoupling of such systems into fast and slow subsystems for analysis and design. The results of a numerical example are included to demonstrate this technique.
Heck, B. S., Haddad, A. H.
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Controllability of piecewise linear systems
Systems & Control Letters, 1986The paper gives a necessary and sufficient condition for the local controllability of a discontinuous linear control system. The set of discontinuities is a hyperplane S. The system is defined by two different linear time-independent equations on the two closed halfspaces defined by S.
Veliov, Vladimir M. +1 more
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Piecewise-Linear Approximation of Nonlinear Dynamical Systems
IEEE Transactions on Circuits and Systems I: Regular Papers, 2004The piecewise-linear (PWL) approximation technique developed by Julia/spl acute/n et al. in the past few years is applied to find approximate models of dynamical systems dependent on given numbers of state variables and parameters. Referring to some significant examples, i.e., topological normal forms, it is shown that a PWL dynamical system ...
STORACE, MARCO, DE FEO OSCAR
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Structured analysis of piecewise‐linear interconnected systems
International Journal of Robust and Nonlinear Control, 2007AbstractThis paper considers the problem of assessing the induced L2gain of a system composed of non‐identical interconnected piecewise‐linear subsystems, when the topology of the underlying graph is arbitrary. Blending tools inspired by dissipativity theory and theS‐procedure, it presents sufficient conditions in the form of a set of finite ...
Fowler, Jeffrey M., D'Andrea, Raffaello
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