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• W1844997585 abstract "We consider the modeling, stability analysis and controller design problems for discrete-time LTI systems with state feedback, when the actuation signal is subject to switching propagation delays, due to e.g. the routing in a multi-hop communication network. We show how to model these systems as regular switching linear systems and, as a corollary, we provide an (exponential-time) algorithm for robust stability analysis. We also show that the general stability analysis problem is NP-hard in general. Even though the systems studied here are inherently switching systems, we show that their particular structure allows for analytical understanding of the dynamics, and even efficient algorithms for some problems: for instance, we give an algorithm that computes in a finite number of steps the minimal look-ahead knowledge of the delays necessary to achieve controllability. We finally show that when the switching signal cannot be measured it can be necessary to use nonlinear controllers for stabilizing a linear plant." @default.
• W1844997585 created "2016-06-24" @default.
• W1844997585 creator A5056625594 @default.
• W1844997585 creator A5062770551 @default.
• W1844997585 date "2014-01-08" @default.
• W1844997585 modified "2023-09-27" @default.
• W1844997585 title "Modeling, analysis and design of linear systems with switching delays" @default.
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• W1844997585 doi "https://doi.org/10.48550/arxiv.1401.1673" @default.
• W1844997585 hasPublicationYear "2014" @default.
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