On the Stability of Switched Positive Linear Systems

By Leonid Gurvits, Robert N. Shorten, Oliver Mason. IEEE Transactions on Automatic Control, 2007

370 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/dd3890875c247643e4e0b2ef8baa6d6a0822fbd1

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In Computational Theory and Mathematics

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Citations in the corpus

Stability Criteria for Switched and Hybrid Systems (2007, methodology): “Some initial results on common copositive Lyapunov function existence can be found in [61, 108, 107]”
Decay rate constrained stabilization of positive systems using static output feedback (2011, background): “Among them major efforts are devoted to the behavioral analysis and property characterization such as the stability [6–11], realizability [12–14] and reachability/controllability [15–17] of positive systems.”
Stability and controllability of switched systems (2013, background): “The concepts of the joint spectral subradius and the generalized spectral subradius were introduced in [32] to present conditions for Markov asymptotic stability of a discrete linear inclusion.”
Discrete‐time control for switched positive systems with application to mitigating viral escape (2011, background): “A few recent works in switched positive systems [21, 22] study the stability problem using co-positive Lyapunov functions.”
Exponential L1 output tracking control for positive switched linear systems with time-varying delays (2014, background): “The past decade has witnessed a great interest in the stability of such systems, and some results are available [19,21–25].”
Stability of switched positive linear systems with average dwell time switching (2012, neutral): “Lemma 1 (Gurvits et al., 2007 Continuous-Time Case).”
Stability Analysis of Positive Switched Linear Systems With Delays (2011, background): “jectures are shown correct [23], [25], whereas some of them are shown”
Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results (2009, background): “This provides us with a possible way to solve this problem, and a lot of efforts have been focused on the common quadratic Lyapunov functions.”