Zhang Dynamics and Gradient Dynamics with Tracking-Control Application

Via solving time-varying linear equations, this paper shows the Zhang dynamics (ZD) method. Besides, the gradient dynamics (GD) method, which was originally designed for constant problems solving, is generalized for time-varying linear equations solving. Then, the ZD and GD methods are exploited together to solve the tracking-control problem of a nonlinear system as a new application. Simulation results on the nonlinear system further demonstrate the feasibility of the ZD and GD methods for tracking control of nonlinear systems.