2010
DOI: 10.1109/tac.2010.2049918
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Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems

Abstract: Continuous-time positive systems, switching among subsystems, are introduced, and a complete characterization for the existence of a common linear copositive Lyapunov function for all the subsystems is provided. When the subsystems are obtained by applying different feedback control laws to the same continuous-time single-input positive system, the above characterization leads to a very easy checking procedure

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Cited by 218 publications
(117 citation statements)
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“…Note that it is not in general true that any exponentially stable system (2) possesses a Lyapunov-Krasovskii functional of this simple form. Positive systems, for which non-negative initial conditions give rise to nonnegative evolutions arise in applications ranging from Biology to Economics [2,3,17,7]. It is known [7] that the time-delay system (2) is positive if and only if…”
Section: Introductionmentioning
confidence: 99%
“…Note that it is not in general true that any exponentially stable system (2) possesses a Lyapunov-Krasovskii functional of this simple form. Positive systems, for which non-negative initial conditions give rise to nonnegative evolutions arise in applications ranging from Biology to Economics [2,3,17,7]. It is known [7] that the time-delay system (2) is positive if and only if…”
Section: Introductionmentioning
confidence: 99%
“…For example, controllability and reachability for positive systems have been studied in [14] and [15]. The positive state-space representation for a given transfer function has been proposed in [12]. For non-negative and time-delay compartmental dynamic systems, stability has been thoroughly studied in [18][19].…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, many new problems appear and some previous approach used for general systems are no longer applicable to positive systems. In recent years, such systems have been studied in the literature [3], [4], [5], [6]. For example, for a given transfer function, a positive state-space representation has been proposed in [7].…”
Section: Introductionmentioning
confidence: 99%