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

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.

Abstract licence: CC BY

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