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On the construction of quadratically stable switched linear systems with multiple component systems

MPS-Authors

Pendharkar,  I.
Systems and Control Theory, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons86212

Raisch,  J.
Systems and Control Theory, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;
TU Berlin;

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Citation

Pendharkar, I., Raisch, J., & Wulff, K. (2007). On the construction of quadratically stable switched linear systems with multiple component systems. In Proceedings of the 46th IEEE Conference on Decision and Control (pp. 6274-6279).


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-98F5-F
Abstract
We consider the stability of switched linear systems with multiple component systems of the n¡th order. Using ideas from dissipative dynamical systems we construct a set of LTI systems sharing a quadratic Lyapunov function. Switched systems composed of subsystems from this set are exponentially stable for arbitrary switching sequences. © Copyright 2008 IEEE – All Rights Reserved [accessed June 12, 2008]