Hybrid Dynamical Systems : Modeling, Stability, and Robustness /

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Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems tha...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Goebel, Rafal (Autor), Sanfelice, Ricardo G. (Autor), Teel, Andrew R. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2012]
Edición:Course Book
Temas:
Hybrid systems.
MATHEMATICS / Applied.
Hermes solutions.
Krasovskii regularization.
Krasovskii solutions.
Lyapunov conditions.
Lyapunov functions.
Lyapunov-like functions.
asymptotic stability.
closed sets.
compact sets.
conical approximation.
conical hybrid system.
continuity properties.
continuous time.
continuous-time systems.
data structure.
differential equations.
differential inclusions.
discrete time.
discrete-time systems.
dynamical systems.
equilibrium points.
flow map.
flow set.
generalized solutions.
graphical convergence.
hybrid arcs.
hybrid control algorithms.
hybrid dynamical systems.
hybrid feedback control.
hybrid models.
hybrid system.
hybrid time domains.
invariance principles.
jump map.
jump set.
modeling frameworks.
modeling.
nonlinear systems.
numerical simulations.
output function.
pre-asymptotic stability.
pre-asymptotically stable sets.
precompact solutions.
regularity properties.
set convergence.
set-valued analysis.
set-valued mappings.
smooth Lyapunov function.
solution concept.
stability theory.
state measurement error.
state perturbations.
switching signals.
switching systems.
uniform asymptotic stability.
well-posed hybrid systems.
well-posed problems.
well-posedness.
ω-limit sets.
Acceso en línea:Texto completo
Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Preface
  • Chapter One. Introduction
  • Chapter Two. The solution concept
  • Chapter Three. Uniform asymptotic stability, an initial treatment
  • Chapter Four. Perturbations and generalized solutions
  • Chapter Five. Preliminaries from set-valued analysis
  • Chapter Six. Well-posed hybrid systems and their properties
  • Chapter Seven. Asymptotic stability, an in-depth treatment
  • Chapter Eight. Invariance principles
  • Chapter Nine. Conical approximation and asymptotic stability
  • Appendix: List of Symbols
  • Bibliography
  • Index

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