Constructions of Strict Lyapunov Functions - Malisoff, Michael; Mazenc, Frédéric.; SpringerLink (Online service) (London : Springer London : Imprint: Springer, 2009)
Background -- Background on Nonlinear Systems -- Review of Lyapunov Functions -- Time-Invariant Case -- Matrosov Conditions: Simple Case -- Jurdjevic-Quinn Conditions -- Systems Satisfying the Conditions of LaSalle -- Time-Varying Case -- Strictification: Basic Results -- Backstepping for Time-Varying Systems -- Matrosov Conditions: General Case -- Adaptively Controlled Systems -- Systems with Multiple Time Scales -- Rapidly Time-Varying Systems -- Slowly Time-Varying Systems -- Hybrid Time-Varying Systems.
Keywords: Control engineering; System theory; Vibration; Dynamical systems; Dynamics; Robotics; Mechatronics; Control and Systems Theory; Systems Theory, Control; Vibration, Dynamical Systems, Control; Control, Robotics, Mechatronics