Nonnegative and Compartmental Dynamical Systems

Front Cover
Princeton University Press, Jan 4, 2010 - Mathematics - 616 pages
0 Reviews

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.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Chapter 1 Introduction
1
Chapter 2 Stability Theory for Nonnegative Dynamical Systems
7
Chapter 3 Stability Theory for Nonnegative and Compartmental Dynamical Systems with Time Delay
89
Chapter 4 Nonoscillation and Monotonicity of Solutions of Nonnegative Dynamical Systems
111
Chapter 5 Dissipativity Theory for Nonnegative Dynamical Systems
143
Chapter 6 Hybrid Nonnegative and Compartmental Dynamical Systems
197
Chapter 7 System Thermodynamics Irreversibility and Time Asymmetry
223
Chapter 8 FiniteTime Thermodynamics
263
Chapter 12 Modeling and Control for Clinical Pharmacology
359
Chapter 13 Optimal FixedStructure Control for Nonnegative Systems
379
Chapter 14 Hsub2 Suboptimal Control for Nonnegative Dynamical Systems Using Linear Matrix Inequalities
405
Chapter 15 Adaptive Control for Nonnegative Systems
425
Chapter 16 Adaptive Disturbance Rejection Control for Compartmental Systems
491
Chapter 17 Limit Cycle Stability Analysis and Control for Respiratory Compartmental Models
523
Chapter 18 Identification of Stable Nonnegative and Compartmental Systems
553
Chapter 19 Conclusion
571

Chapter 9 Modeling and Analysis of MassAction Kinetics
281
Chapter 10 Semistability and State Equipartition of Nonnegative Dynamical Systems
315
Chapter 11 Robustness of Nonnegative Dynamical Systems
343
Bibliography
573
Index
599
Copyright

Other editions - View all

Common terms and phrases

About the author (2010)

Wassim M. Haddad is professor in the School of Aerospace Engineering at Georgia Institute of Technology. VijaySekhar Chellaboina holds a PhD in aerospace engineering from Georgia Tech and works for Tata Consultancy Services in Hyderabad, India. Haddad and Chellaboina have coauthored six books, including Nonlinear Dynamical Systems and Control (Princeton). Qing Hui is assistant professor in the Department of Mechanical Engineering at Texas Tech University.

Bibliographic information