Constructions of Strict Lyapunov Functions

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Malisoff, Michael (Autor), Mazenc, Frédéric (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Communications and Control Engineering,
Temas:
Control engineering.
System theory.
Control theory.
Multibody systems.
Vibration.
Mechanics, Applied.
Robotics.
Automation.
Control and Systems Theory.
Systems Theory, Control .
Multibody Systems and Mechanical Vibrations.
Control, Robotics, Automation.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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