Nonnegative and compartmental dynamical systems / 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, genetic...

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Main Authors: Haddad, Wassim M., 1961- (Author), Chellaboina, VijaySekhar, 1970- (Author), Hui, Qing, 1976- (Author)
Format: Electronic
Language:English
Published: Princeton : Princeton University Press, ©2010.
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Online Access:Click for online access
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100 1 |a Haddad, Wassim M.,  |d 1961-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJfCqXkkyH4jTpg8f9f8YP 
245 1 0 |a Nonnegative and compartmental dynamical systems /  |c Wassim M. Haddad, VijaySekhar Chellaboina, Qing Hui. 
260 |a Princeton :  |b Princeton University Press,  |c ©2010. 
300 |a 1 online resource (xviii, 605 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references (pages 573-597) and index. 
505 0 |a 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. 
520 |a 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. 
588 0 |a Print version record. 
650 0 |a Differentiable dynamical systems. 
650 7 |a MATHEMATICS  |x Applied.  |2 bisacsh 
650 7 |a Differentiable dynamical systems  |2 fast 
700 1 |a Chellaboina, VijaySekhar,  |d 1970-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJcR9MDCRCBJmDJ3wdPYT3 
700 1 |a Hui, Qing,  |d 1976-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjqDJRMyWp4DpdjHw6j6cd 
776 0 8 |i Print version:  |a Haddad, Wassim M., 1961-  |t Nonnegative and compartmental dynamical systems.  |d Princeton, N.J. : Princeton University Press, ©2010  |z 9780691144115  |w (DLC) 2009022506  |w (OCoLC)402539883 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=483497  |y Click for online access 
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