Titlebook: Qualitative Theory of Hybrid Dynamical Systems; Alexey S. Matveev,Andrey V. Savkin Book 2000 Springer Science+Business Media New York 2000

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Limit Cycles in Hybrid Dynamical Systems with Constant Derivatives: General Theory,tial equations are constant and nonzero. Furthermore, the regions where the discrete state keeps its value are convex polyhedra. Unlike Chapter 4, the dimension of the continuous state space may be arbitrary.

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Limit Cycles in Hybrid Dynamical Systems with Constant Derivatives: Examples,ral theory developed in Chapter 5 makes qualitative analysis of these systems quite an easy task. For any of them, we show that there exist a finite number of limit cycles attracting all the trajectories of the system and compute this number. For each cycle, the region of attraction is found.

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Regularizability of Switched Multiple Server Flow Networks,n be used to model various flexible manufacturing, communication, and computer systems. We introduce the concept of regularizability for such systems and obtain a necessary and sufficient condition for a switched multiple server flow network to be regularizable.

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cochlea

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General Theory of Multivalued Differential Automata,duce a number of basic notions related to the above class. Among them, there is, for example, that of the invariant domain, as well as of deterministic and well-posed systems. In particular, we provide mathematically rigorous definitions of some notions that were employed in Chapter 2.

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