Finite-time control and L1-gain analysis for positive switched systems

This paper is concerned with finite-time control and L-1-gain analysis of positive switched systems. First, by using the multiple linear copositive Lyapunov functions approach, a sufficient condition for the finite-time stability of autonomous systems under consideration is established. Second, the finite-time boundedness with a weighted L-1-gain performance of autonomous systems with uncertain disturbances is addressed. Furthermore, state-feedback controllers guaranteeing the finite-time stability and the finite-time boundedness of non-autonomous systems are constructed, respectively. Finally, an illustrative example is given to show the validity of the present design. Copyright (c) 2014 John Wiley & Sons, Ltd.