On stability for switched linear positive systems

✍ Scribed by Xiuyong Ding; Lan Shu; Zhaohao Wang

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 271 KB
• Volume: 53
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/j.mcm.2010.11.062

✦ Synopsis

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.