Nonnegative and compartmental dynamical systems /
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...
Clasificación: | Libro Electrónico |
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Autores principales: | , , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Princeton :
Princeton University Press,
©2010.
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Temas: | |
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.