Stability analysis of positive switched systems based on a [formula omitted]-dependent average dwell time approach

Abstract

This paper is concerned with the stability analysis for positive switched systems, based on a so-called Φ-dependent average dwell time scheme that covers the classical average dwell time and mode-dependent average dwell time ones as two special cases. By a modified multiple linear copositive Lyapunov functions approach, stability criteria with the new scheme are established for positive switched systems in both autonomous and non-autonomous cases. Two numerical examples with different Φ are finally given to illustrate the effectiveness of our results. Some comparisons among the existed correlative results show the good points of the new approach.