Controlling chaotic Chuaʹs circuit based on piecewise quadratic Lyapunov functions method

In this paper, we present a linear feedback controller design method for controlling chaotic Chuaʹs circuit based on piecewise quadratic Lyapunov functions. Firstly, we get the piecewise linear differential inclusions (pwLDIs) model of tracking error dynamics, then we design a linear state feedback controller to stabilize it based on the piecewise quadratic Laypunov functions. Finally, we give some numerical simulations to demonstrate the effectiveness of our theoretical results.