Sufficient conditions for robustness of $$mathcal{K}mathcal{L}$$ -stability for difference inclusions |
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| Authors: | Christopher M. Kellett Andrew R. Teel |
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| Affiliation: | (1) School of Electrical Engineering and Computer Science, University of Newcastle, Callaghan, NSW, 2308, Australia;(2) Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA 93106, USA |
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| Abstract: | Difference inclusions arise naturally in the study of discrete-time or sampled-data systems. We develop two novel sufficient conditions for robustness of a stability property referred to as  -stability with respect to an arbitrary measure; i.e., where a continuous positive definite function of the solutions satisfies a class- estimate of time and the continuous positive definite function of the initial condition. Christopher M. Kellett was supported by the Australian Research Council under Discovery Project Grant DP0771131. Andrew R. Teel was supported by NSF grants ECS-0324679, ECS-0622253, and AFOSR grants F49620-03-1-0203 and FA9550-06-1-0134. |
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| Keywords: | Difference inclusions Stability with respect to two measures Robust stability Compact attractors |
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