Feedback stabilization of dynamical systems with switched delays
(2016) IEEE Transactions on Automatic Control — Vol. 61, n° 4, p. 1117-1122 (2016)
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- Abstract
- We analyze a classification of two main families of controllers that are of interest when the feedback loop is subject to switching propagation delays due to routing via a wireless multi-hop communication network. We show that we can cast this problem as a subclass of classical switching systems, which is a non-trivial generalization of classical LTI systems with time-varying delays. We consider both cases where delay-dependent and delay-independent controllers are used, and show that both can be modeled as switching systems with unconstrained switchings. We provide NP-hardness results for the stability verification problem, and propose a general methodology for approximate stability analysis with arbitrary precision. We finally give evidence that non-trivial design problems arise for which new algorithmic methods are needed.
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Jungers, R., D’Innocenzo, A., & Di Benedetto, M. D. (2016). Feedback stabilization of dynamical systems with switched delays. IEEE Transactions on Automatic Control, 61(4), 1117-1122. https://doi.org/10.1109/CDC.2012.6426457 (Original work published 2016)