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Stability of interconnected dynamical systems described on Banach spaces

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2 Author(s)
Rasmussen, R. ; Jet Propulsion Laboratory, Pasadena, CA, USA ; Michel, A.N.

New stability results for a large class of interconnected dynamical systems (also called composite systems or large-scale systems) described on Banach spaces are established. In the present approach, the objective is always the same: to analyze large-scale systems in terms of their lower order and simpler subsystems and in terms of their interconnecting structure. The present results provide a systematic procedure of analyzing hybrid dynamical systems (i.e., systems that are described by a mixture of different types of equations). To demonstrate the method of analysis advanced, two specific examples are considered.

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Automatic Control, IEEE Transactions on  (Volume:21 ,  Issue: 4 )