Constructions of Strict Lyapunov Functions

• Κύριοι συγγραφείς: Malisoff, Michael (Συγγραφέας), Mazenc, Frédéric (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London, 2009.
• Σειρά: Communications and Control Engineering,
• Θέματα: Engineering.; System theory.; Vibration.; Dynamical systems.; Dynamics.; Control engineering.; Robotics.; Mechatronics.; Control.; Systems Theory, Control.; Vibration, Dynamical Systems, Control.; Control, Robotics, Mechatronics.

The construction of strict Lyapunov functions is a challenging problem that is of significant ongoing research interest. Although converse Lyapunov function theory guarantees the existence of strict Lyapunov functions in many situations, the Lyapunov functions that converse theory provides are often...

Πίνακας περιεχομένων:

• 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.