This paper is concerned with finite‐time control and L1‐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 L1‐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.
