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Stochastic time scales: Quadratic Lyapunov functions and probabilistic regions of stability

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3 Author(s)
Poulsen, D.R. ; Dept. of Math., Baylor Univ., Waco, TX, USA ; Davis, J.M. ; Gravagne, I.A.

We present a version of Lyapunov theory for stochastically generated time scales. In the case of quadratic Lyapunov functions for the LTI case, our results improve the requirement that spec(A) ⊂ Hmin. Our approach also allows us to consider a special class of LTV problems where the dependence on time is only through the graininess.

Published in:

System Theory (SSST), 2013 45th Southeastern Symposium on

Date of Conference:

11-11 March 2013