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Nonnegative and Compartmental Dynamical Systems

Wassim M. Haddad, Qing Hui, VijaySekhar Chellaboina

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

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.

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Schlagwörter

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