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On a geometrical approach to quadratic Lyapunov stability and robustness

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3 Author(s)
N. Bajcinca ; Max Planck Inst. for Dynamics of Complex of Tech. Syst., Magdeburg, Germany ; D. Flockerzi ; Y. Kouhi

A geometrical approach to quadratic Lyapunov stability for the class of switched linear systems which share a common invariant subspace is contributed in this article. The robustness with respect to canonical gap perturbations of common invariant subspaces associated with constituent system matrices is additionally addressed. Some well-known results on common quadratic stability are naturally recovered in this framework.

Published in:

52nd IEEE Conference on Decision and Control

Date of Conference:

10-13 Dec. 2013