Nonnegative and Compartmental Dynamical Systems
eBook - PDF

Nonnegative and Compartmental Dynamical Systems

  1. 616 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Nonnegative and Compartmental Dynamical Systems

About this book

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, genetics, chemistry, medicine, and sociology. Using the highest standards of exposition and rigor, the authors explain these systems and advance the state of the art in their analysis and active control design.



Nonnegative and Compartmental Dynamical Systems presents the most complete treatment available of system solution properties, Lyapunov stability analysis, dissipativity theory, and optimal and adaptive control for these systems, addressing continuous-time, discrete-time, and hybrid nonnegative system theory. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers, as well as for researchers and graduate students who want to understand the behavior of nonnegative and compartmental dynamical systems that arise in areas such as biomedicine, demographics, epidemiology, pharmacology, telecommunications, transportation, thermodynamics, networks, heat transfer, and power systems.

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Yes, you can access Nonnegative and Compartmental Dynamical Systems by Wassim M. Haddad,VijaySekhar Chellaboina,Qing Hui in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Contents
  3. Preface
  4. Chapter 1. Introduction
  5. Chapter 2. Stability Theory for Nonnegative Dynamical Systems
  6. Chapter 3. Stability Theory for Nonnegative and Compartmental Dynamical Systems with Time Delay
  7. Chapter 4. Nonoscillation and Monotonicity of Solutions of Nonnegative Dynamical Systems
  8. Chapter 5. Dissipativity Theory for Nonnegative Dynamical Systems
  9. Chapter 6. Hybrid Nonnegative and Compartmental Dynamical Systems
  10. Chapter 7. System Thermodynamics, Irreversibility, and Time Asymmetry
  11. Chapter 8. Finite-Time Thermodynamics
  12. Chapter 9. Modeling and Analysis of Mass-Action Kinetics
  13. Chapter 10. Semistability and State Equipartition of Nonnegative Dynamical Systems
  14. Chapter 11. Robustness of Nonnegative Dynamical Systems
  15. Chapter 12. Modeling and Control for Clinical Pharmacology
  16. Chapter 13. Optimal Fixed-Structure Control for Nonnegative Systems
  17. Chapter 14. H[sub(2)] Suboptimal Control for Nonnegative Dynamical Systems Using Linear Matrix Inequalities
  18. Chapter 15. Adaptive Control for Nonnegative Systems
  19. Chapter 16. Adaptive Disturbance Rejection Control for Compartmental Systems
  20. Chapter 17. Limit Cycle Stability Analysis and Control for Respiratory Compartmental Models
  21. Chapter 18. Identification of Stable Nonnegative and Compartmental Systems
  22. Chapter 19. Conclusion
  23. Bibliography
  24. Index