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Some stability tests for switched descriptor systems
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DOI：10.1016/j.automatica.2019.05.004.png)
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Abstract
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In this paper we first derive some general Lyapunov based stability conditions for switched linear descriptor systems and illustrate them with a simple mechanical system. Next we develop simple conditions for specific classes of systems. In particular, we consider the important case when switching between a standard system and an index one descriptor system, and systems where switching occurs between an index one and an index two descriptor system. Examples are given to illustrate these results. (C) 2019 Elsevier Ltd. All rights reserved.
Keywords:
Switched systems
Descriptor systems
Lyapunov functions
Global uniform exponential stability
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