State Feedback $L_1$$L1 Gain Control of Positive 2 D Continuous Switched Delayed Systems Via State Dependent Switching
This paper investigates the stability and $L_1$$L1 gain control of two dimensional (2 D) continuous positive switched delayed systems. Firstly, by constructing an appropriate co positive Lyapunov Krasovskii functional, a sufficient condition for asymptotical stability of the system under consideration is derived. Secondly, $L_1$$L1 gain performance analysis of the underlying system is investigated. Thirdly, a design methodology for state feedback controller is proposed to ensure that the closed loop system is asymptotically stable with $L_1$$L1 gain performance. Finally, an example is provided to show the effectiveness of the proposed method.
Circuits Syst. Signal Process.