eBook

Nonnegative and compartmental dynamical systems

Hui, Qing, Haddad, Wassim M, Chellaboina, VijaySekhar

2010

Overview

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 Systemspresents 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.

• Publisher: Princeton University Press
• Subject: A priori probability / Adaptive control / Amplitude / Anticoagulant / Aphorism / Axiom / Balance equation / Bispectral index / Bounded variation / Calculation / Chaos theory / Colloid / Constant of integration / Constrained optimization / Control theory / Correlation and dependence / Derivative / Differentiable dynamical systems / Differential dynamical systems / Discrete system / Dissipation / Dissipative system / Dosing / Dynamical system / Entropy / Equilibrium point / Estimation theory / Estimator / Fuzzy logic / Global analysis (Mathematics) / Idealization / Initial condition / Interconnection / Internal energy / Invariance theorem / Inverse problem / Least squares / Likelihood function / Limit cycle / Limit point / Linear dynamical system / Linear equation / Linear programming / Lipschitz continuity / Lyapunov function / Lyapunov stability / Mass balance / MATHEMATICS / MATHEMATICS / Applied / Maxima and minima / Minimum phase / Monotone convergence theorem / Monotonic function / Nonlinear system / Optimal control / Orthant / Parameter / Piecewise / Post hoc analysis / Probability / Quantity / Quasiconvex function / Reversible process (thermodynamics) / Second law of thermodynamics / Setpoint (control system) / Special case / Stability theory / State space / State variable / State-space representation / Technology / Technology & Engineering / Engineering (General) / Theorem / Thermodynamic system / Thermodynamics / Transfer function / Uncertainty
• ISBN: 9780691144115, 0691144117, 9781400832248, 1400832241