Stability analysis for a class of switched positive nonlinear systems under dwell-time constraint

• Main Authors: Dadong Tian, Shutang Liu
• Format: Article
• Language: English
• Published: SpringerOpen 2018-03-01
• Series: Advances in Difference Equations
• Subjects: Asymptotic stability; Exponential stability; Switched positive nonlinear systems; Cooperative and homogeneous systems; Order-preserving
• Online Access: http://link.springer.com/article/10.1186/s13662-018-1547-5

Abstract This paper addresses the stability problem of a class of switched positive nonlinear systems (SPNSs). Both continuous-time systems and discrete-time systems are studied. By applying the minimum dwell-time (MDT) approach, we design time-dependent switching rules under which the continuous-time SPNSs is asymptotically stable. For the corresponding discrete-time case, a sufficient condition is given for exponential stability of SPNSs. In addition, the MDT switching signals are designed via analyzing the weighted l∞ $l_{\infty}$ norm for the considered systems. Finally, a numerical example is provided to illustrate the effectiveness of our result.