On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems

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

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Stability of a class of switched positive linear time‐delay systems (2013, background): “Definition 2 ([18]) A is called a Metzler matrix, if the off-diagonal entries of matrix A are non-negative.”
Stability of switched positive linear systems with average dwell time switching (2012, methodology): “Now, if the system is under arbitrary switching, we can check the stability by following the procedure given in Theorem 4.1 of Mason and Shorten (2007).”
Exponential L1 output tracking control for positive switched linear systems with time-varying delays (2014, methodology): “Definition 2 ([19]).”
Open problems in the theory of completely positive and copositive matrices (2015, background): “More recent applications are in data mining and clustering [25], and in dynamical systems and control [48, 8].”
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 Analysis of Positive Switched Linear Systems With Delays (2011, background): “A mass of literature is concerned with the issue of stability of PSLSs [22]–[25].”