Cover -- Contents -- Preface -- 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 Dynamical 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 Dynamical 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 Dynamical Systems -- 5.6 Dissipativity Theory for Discrete-Time Nonnegative Dynamical Systems -- 5.7 Specialization to Discrete-Time Linear Nonnegative Dynamical 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 Systems with Time Delay -- 5.11 Dissipativity Theory for Discrete-Time Nonnegative Dynamical 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 Dynamical 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 Poincaré Recurrence -- 7.5 System Thermodynamics -- 7.6 Entropy and Irreversibility -- 7.7 Semistability and the Entropic Arrow of Time -- 7.8 Monotonicity of System Energies in Thermodynamic Processes -- Chapter 8. Finite-Time Thermodynamics -- 8.1 Introduction.

8.2 Finite-Time Semistability of Nonlinear Nonnegative Dynamical Systems -- 8.3 Homogeneity and Finite-Time Semistability -- 8.4 Finite-Time Energy Equipartition in Thermodynamic Systems -- Chapter 9. Modeling and Analysis of Mass-Action Kinetics -- 9.1 Introduction -- 9.2 Reaction Networks -- 9.3 The Law of Mass Action and the Kinetic Equations -- 9.4 Nonnegativity of Solutions -- 9.5 Realization of Mass-Action Kinetics -- 9.6 Reducibility of the Kinetic Equations -- 9.7 Stability Analysis of Linear and Nonlinear Kinetics -- 9.8 The Zero-Deficiency Theorem -- Chapter 10. Semistability and State Equipartition of Nonnegative Dynamical Systems -- 10.1 Introduction -- 10.2 Semistability and State Equipartitioning -- 10.3 Semistability and Equipartition of Linear Compartmental Systems with Time Delay -- 10.4 Semistability and Equipartition of Nonlinear Compartmental Systems with Time Delay -- Chapter 11. Robustness of Nonnegative Dynamical Systems -- 11.1 Introduction -- 11.2 Nominal System Model -- 11.3 Semistability and Homogeneous Dynamical Systems -- 11.4 Uncertain System Model -- Chapter 12. Modeling and Control for Clinical Pharmacology -- 12.1 Introduction -- 12.2 Pharmacokinetic Models -- 12.3 State Space Models -- 12.4 Drug Action, Effect, and Interaction -- 12.5 Pharmacokinetic Parameter Estimation -- 12.6 Pharmacodynamic Models -- 12.7 Open-Loop Drug Dosing -- 12.8 Closed-Loop Drug Dosing -- 12.9 Closed-Loop Control of Cardiovascular Function -- 12.10 Closed-Loop Control of Anesthesia -- 12.11 Electroencephalograph-Based Control -- 12.12 Bispectral Index-Based Control -- 12.13 Pharmacokinetic and Pharmacodynamic Models for Drug Distribution -- 12.14 Challenges and Opportunities in Pharmacological Control -- Chapter 13. Optimal Fixed-Structure Control for Nonnegative Systems -- 13.1 Introduction.

13.2 Optimal Zero Set-Point Regulation for Nonnegative Dynamical Systems -- 13.3 Optimal Nonzero Set-Point Regulation for Nonnegative Dynamical Systems -- 13.4 Suboptimal Control for Nonnegative Dynamical Systems -- 13.5 Optimal Fixed-Structure Control for Nonnegative Dynamical Systems -- 13.6 Nonnegative Control for Nonnegative Dynamical Systems -- 13.7 Optimal Fixed-Structure Control for General Anesthesia -- Chapter 14. H[sub(2)] Suboptimal Control for Nonnegative Dynamical Systems Using Linear Matrix Inequalities -- 14.1 Introduction -- 14.2 H[sub(2)] Suboptimal Control for Nonnegative Dynamical Systems -- 14.3 Suboptimal Estimation for Nonnegative Dynamical Systems -- 14.4 H[sub(2)] Suboptimal Dynamic Controller Design for Nonnegative Dynamical Systems -- Chapter 15. Adaptive Control for Nonnegative Systems -- 15.1 Introduction -- 15.2 Adaptive Control for Linear Nonnegative Uncertain Dynamical Systems -- 15.3 Adaptive Control for Linear Nonnegative Dynamical Systems with Nonnegative Control -- 15.4 Adaptive Control for General Anesthesia: Linear Model -- 15.5 Adaptive Control for Nonlinear Nonnegative Uncertain Dynamical Systems -- 15.6 Adaptive Control for General Anesthesia: Nonlinear Model -- 15.7 Adaptive Control for Nonlinear Nonnegative Uncertain Dynamical Systems -- 15.8 Adaptive Control for Linear Nonnegative Uncertain Dynamical Systems with Time Delay -- 15.9 Adaptive Control for Linear Nonnegative Dynamical Systems with Nonnegative Control and Time Delay -- 15.10 Adaptive Control for Nonnegative Systems with Time Delay and Actuator Amplitude Constraints -- 15.11 Adaptive Control for General Anesthesia: Linear Model with Time Delay and Actuator Constraints -- Chapter 16. Adaptive Disturbance Rejection Control for Compartmental Systems -- 16.1 Introduction -- 16.2 Compartmental Systems with Exogenous Disturbances.

16.3 Adaptive Control for Linear Compartmental Uncertain Systems with Exogenous Disturbances -- 16.4 Adaptive Control for Linear Compartmental Dynamical Systems with L[sub(2)] Disturbances -- 16.5 Adaptive Control for Automated Anesthesia with Hemorrhage and Hemodilution Effects -- Chapter 17. Limit Cycle Stability Analysis and Control for Respiratory Compartmental Models -- 17.1 Introduction -- 17.2 Ultrametric Matrices, Periodic Orbits, and Poincaré Maps -- 17.3 Compartmental Modeling of Lung Dynamics: Dichotomy Architecture -- 17.4 State Space Multicompartment Lung Model -- 17.5 Limit Cycle Analysis of the Multicompartment Lung Model -- 17.6 A Regular Dichotomy Model -- 17.7 A General Tree Structure Model -- 17.8 Direct Adaptive Control for Switched Linear Time-Varying Systems -- 17.9 Adaptive Control for a Multicompartment Lung Model -- Chapter 18. Identification of Stable Nonnegative and Compartmental Systems -- 18.1 Introduction -- 18.2 State Reconstruction -- 18.3 Constrained Optimization for Subspace Identification of Stable Nonnegative Systems -- 18.4 Constrained Optimization for Subspace Identification of Compartmental Systems -- 18.5 Illustrative Numerical Examples -- Chapter 19. Conclusion -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Z.