Title :
On a geometrical approach to quadratic Lyapunov stability and robustness
Author :
Bajcinca, N. ; Flockerzi, D. ; Kouhi, Y.
Author_Institution :
Max Planck Inst. for Dynamics of Complex of Tech. Syst., Magdeburg, Germany
Abstract :
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.
Keywords :
Lyapunov methods; geometry; invariance; linear systems; matrix algebra; perturbation techniques; robust control; time-varying systems; canonical gap perturbations; common invariant subspace; geometrical approach; quadratic Lyapunov stability; robustness; switched linear systems; system matrices; Lyapunov methods; Nickel; Robustness; Stability analysis; Switched systems; Switches; Switching systems;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6759849
