Brief paper: On linear co-positive Lyapunov functions for sets of linear positive systems
Automatica (Journal of IFAC)
The Choice of the Forms of Lyapunov Functions for a Positive 2D Roesser Model
International Journal of Applied Mathematics and Computer Science
On linear co-positive lyapunov functions for a special of switched linear positive systems
ICIC'11 Proceedings of the 7th international conference on Advanced Intelligent Computing
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This paper addresses the stability properties of switched linear positive systems in continuous-time as well as in discrete-time. In the discrete-time case, some sufficient and necessary conditions for asymptotic stability are derived for pairs of second order systems. Similar conditions are also established for a finite number of second order systems. Furthermore, for higher order systems, some results on stability are provided in a similar manner. In particular, in this case, a common linear Lyapunov function guaranteeing the stability of the switched positive systems can be easily located by means of geometry properties. In the continuous-time case, a finite number of second order systems are considered. Some equivalent conditions for stability of such systems are developed.