Nonnegative and Compartmental Dynamical Systems /

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This comprehensive book provides the first unified framework for stability and dissipativity analysis and control design for nonnegative and compartmental dynamical systems, which play a key role in a wide range of fields, including engineering, thermal sciences, biology, ecology, economics, genetic...

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Detalles Bibliográficos
Autores principales: Haddad, Wassim M., 1961- (Autor), Hui, Qing, 1976- (Autor), Chellaboina, VijaySekhar, 1970- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2010.
Colección:Book collections on Project MUSE.
Temas:
Differentiable dynamical systems.
MATHEMATICS > Applied.
Dynamique differentiable.
Electronic book.
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Contents
  • Chapter 1. Introduction
  • Chapter 2. Stability Theory for Nonnegative Dynamical Systems
  • 2.1 Introduction
  • 2.2 Lyapunov Stability Theory for Nonnegative Dynamical Systems
  • 2.3 Invariant Set Stability Theorems
  • 2.4 Semistability of Nonnegative Dynamical Systems
  • 2.5 Stability Theory for Linear Nonnegative Dynamical Systems
  • 2.6 Nonlinear Compartmental Dynamical Systems
  • 2.7 Compartmental Systems in Biology, Ecology, Epidemiology, and Pharmacology
  • 2.8 Discrete-Time Lyapunov Stability Theory for Nonnegative Dynamical Systems
  • 2.9 Discrete-Time Invariant Set Theorems and Semistability Theorems
  • 2.10 Stability Theory for Discrete-Time Linear Nonnegative Dy-namical Systems
  • 2.11 Discrete-Time Nonlinear Compartmental Dynamical Systems
  • Chapter 3. Stability Theory for Nonnegative and Compartmental Dynamical Systems with Time Delay
  • 3.1 Introduction
  • 3.2 Lyapunov Stability Theory for Time-Delay Nonnegative Dynamical Systems
  • 3.3 Invariant Set Stability Theorems
  • 3.4 Stability Theory for Continuous-Time Nonnegative Dynam-ical Systems with Time Delay
  • 3.5 Discrete-Time Lyapunov Stability Theory for Time-Delay Nonnegative Dynamical Systems
  • 3.6 Stability Theory for Discrete-Time Nonnegative Dynamical Systems with Time Delay
  • Chapter 4. Nonoscillation and Monotonicity of Solutions of Nonnegative Dynamical Systems
  • 4.1 Introduction
  • 4.2 Nonoscillation and Monotonicity of Linear Nonnegative Dynamical Systems
  • 4.3 Mammillary Systems
  • 4.4 Monotonicity of Nonlinear Nonnegative Dynamical Systems
  • 4.5 Monotonicity of Discrete-Time Linear Nonnegative Dynamical Systems
  • 4.6 Monotonicity of Discrete-Time Nonlinear Nonnegative Dynamical Systems
  • 4.7 Monotonicity of Nonnegative Dynamical Systems with Time Delay
  • Chapter 5. Dissipativity Theory for Nonnegative Dynamical Systems
  • 5.1 Introduction
  • 5.2 Dissipativity Theory for Nonnegative Dynamical Systems
  • 5.3 Feedback Interconnections of Nonnegative Dynamical Systems
  • 5.4 Dissipativity Theory for Nonlinear Nonnegative Dynamical Systems
  • 5.5 Feedback Interconnections of Nonnegative Nonlinear Dy-namical Systems
  • 5.6 Dissipativity Theory for Discrete-Time Nonnegative Dynam-ical Systems
  • 5.7 Specialization to Discrete-Time Linear Nonnegative Dy-namical Systems
  • 5.8 Feedback Interconnections of Discrete-Time Nonnegative Dynamical Systems
  • 5.9 Dissipativity Theory for Nonnegative Dynamical Systems with Time Delay
  • 5.10 Feedback Interconnections of Nonnegative Dynamical Sys-tems with Time Delay
  • 5.11 Dissipativity Theory for Discrete-Time Nonnegative Dynam-ical Systems with Time Delay
  • 5.12 Feedback Interconnections of Discrete-Time Nonnegative Dynamical Systems with Time Delay
  • Chapter 6. Hybrid Nonnegative and Compartmental Dynamical Systems
  • 6.1 Introduction
  • 6.2 Stability Theory for Nonlinear Hybrid Nonnegative Dynam-ical Systems
  • 6.3 Hybrid Compartmental Dynamical Systems
  • 6.4 Dissipativity Theory for Hybrid Nonnegative Dynamical Systems
  • 6.5 Specialization to Linear Impulsive Dynamical Systems
  • 6.6 Feedback Interconnections of Nonlinear Hybrid Nonnegative Dynamical Systems
  • Chapter 7. System Thermodynamics, Irreversibility, and Time Asymmetry
  • 7.1 Introduction
  • 7.2 Dynamical System Model
  • 7.3 Reversibility, Irreversibility, Recoverability, and Irrecoverability
  • 7.4 Reversible Dynamical Systems, Volume-Preserving Flows, and Poincar180;e Recurrence
  • 7.5 System Thermodynamics
  • 7.6 Entropy and Irreversibility
  • T$2458.

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