Direct gradient descent control for global stabilization of general nonlinear control systems
We study the problem of stabilizing a general nonlinear control system globally based on direct gradient descent control which is a dynamic feedback control law. The direct gradient descent control and the general nonlinear control system (original system) form a new system (extended system). Under an appropriate assumption we can make the extended system become globally asymptotically stable if its unforced system is stable in the sense of Lyapunov.
direct gradient descent control global stabilization nonlinear system