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On the stability of switched differential algebraic systems – conditions and applications

Pendharkar, Ishan; Wulff, Kai; Raisch, Jörg

Forschungsberichte der Fakultät IV - Elektrotechnik und Informatik / Technische Universität Berlin

We obtain sufficient conditions for stability of switched linear systems described by differential algebraic equations. Our results can be used to address a number of important problems related to switched systems, particularly in situations where purely numerical approaches fail. We address the problem of stability analysis of a Nitrifying Trickling Filter (NTF). We also address the related problems of designing controllers that ensure robustness against arbitrary combinations of sensor or actuator failure.