The mathematics of nonlinear control
The following sections are included:
Mathematical models of controlled systems
Stability and boundedness
State-space stability
Stability theorems and Lyapunov functions
Absolute stability
Feedback linearization and normal forms
Feedback stabilization and passivity
Introductory comments
Passivity and dissipativity
Passification as a control design problem
Input-to-state stability
Speed gradient algorithms
Goal-oriented formulation of the control problem
Design of Speed Gradient Algorithms
Properties of the speed gradient algorithms
Identifying properties of SG algorithms
Robustness of speed gradient algorithms with respect to disturbances
Gradient control of discrete-time systems