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Nonnegative and Compartmental Dynamical Systems 1st Edition by Wassim Haddad, VijaySekhar Chellaboina, Qing Hui 9781400832248 1400832241

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Nonnegative and Compartmental Dynamical Systems Wassim M. Haddad Digital Instant Download

Author(s): Wassim M. Haddad; VijaySekhar Chellaboina; Qing Hui
ISBN(s): 9781400832248, 1400832241
Edition: Course Book
File Details: PDF, 4.10 MB
Year: 2010
Language: english
SKU: EB-51952166 Category: Tags: , ,

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Product details:

ISBN 10: 1400832241

ISBN 13: 9781400832248

Author: Wassim M. Haddad; VijaySekhar Chellaboina; Qing Hui

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.

Table of contents:

Chapter 1: Introduction

Chapter 2: Stability Theory for Nonnegative Dynamical Systems

Chapter 3: Stability Theory for Nonnegative and Compartmental Dynamical Systems with Time Delay

Chapter 4: Nonoscillation and Monotonicity of Solutions of Nonnegative Dynamical Systems

Chapter 5: Dissipativity Theory for Nonnegative Dynamical Systems

Chapter 6: Hybrid Nonnegative and Compartmental Dynamical Systems

Chapter 7: System Thermodynamics, Irreversibility, and Time Asymmetry

Chapter 8: Finite-Time Thermodynamics

Chapter 9: Modeling and Analysis of Mass-Action Kinetics

Chapter 10: Semistability and State Equipartition of Nonnegative Dynamical Systems

Chapter 11: Robustness of Nonnegative Dynamical Systems

Chapter 12: Modeling and Control for Clinical Pharmacology

Chapter 13: Optimal Fixed-Structure Control for Nonnegative Systems

Chapter 14: H[sub(2)] Suboptimal Control for Nonnegative Dynamical Systems Using Linear Matrix Inequalities

Chapter 15: Adaptive Control for Nonnegative Systems

Chapter 16: Adaptive Disturbance Rejection Control for Compartmental Systems

Chapter 17: Limit Cycle Stability Analysis and Control for Respiratory Compartmental Models

Chapter 18: Identification of Stable Nonnegative and Compartmental Systems

Chapter 19: Conclusion

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Tags: Wassim Haddad, VijaySekhar Chellaboina, Qing Hui, Nonnegative