Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Mathematical control systems --- Variational inequalities (Mathematics) --- Differential equations, Elliptic --- Differential equations, Parabolic

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Analysis and control of nonlinear infinite dimensional systems

Commande, théorie de la. --- Optimisation mathématique. --- Opérateurs non-linéaires. --- Optimaliseren. --- Operatoren. --- Controleleer. --- Control theory. --- Mathematical optimization. --- Nonlinear operators. --- Théorie de la commande --- Optimisation mathématique --- Opérateurs non linéaires --- Control theory --- Mathematical optimization --- Nonlinear operators --- Amygdala --- 519.71 --- Operators, Nonlinear --- Operator theory --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- physiology. --- Control systems theory: mathematical aspects --- 519.71 Control systems theory: mathematical aspects --- Dynamics --- Machine theory --- physiology

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Stabilization of Navier–Stokes Flows presents recent notable progress in the mathematical theory of stabilization of Newtonian fluid flows. Finite-dimensional feedback controllers are used to stabilize exponentially the equilibrium solutions of Navier–Stokes equations, reducing or eliminating turbulence. Stochastic stabilization and robustness of stabilizable feedback are also discussed. The text treats the questions: • What is the structure of the stabilizing feedback controller? • How can it be designed using a minimal set of eigenfunctions of the Stokes–Oseen operator? The analysis developed here provides a rigorous pattern for the design of efficient stabilizable feedback controllers to meet the needs of practical problems and the conceptual controllers actually detailed will render the reader’s task of application easier still. Stabilization of Navier–Stokes Flows avoids the tedious and technical details often present in mathematical treatments of control and Navier–Stokes equations and will appeal to a sizeable audience of researchers and graduate students interested in the mathematics of flow and turbulence control and in Navier-Stokes equations in particular. The chief points of linear functional analysis, linear algebra, probability theory and general variational theory of elliptic, parabolic and Navier–Stokes equations are reviewed in an introductory chapter and at the end of chapters 3 and 4.

Navier-Stokes equations. --- Viscous flow. --- Equations, Navier-Stokes --- Engineering. --- Partial differential equations. --- System theory. --- Fluids. --- Fluid mechanics. --- Control engineering. --- Control. --- Systems Theory, Control. --- Fluid- and Aerodynamics. --- Partial Differential Equations. --- Engineering Fluid Dynamics. --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Hydromechanics --- Continuum mechanics --- Hydraulics --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Systems, Theory of --- Systems science --- Science --- Partial differential equations --- Construction --- Industrial arts --- Technology --- Philosophy --- Fluid dynamics --- Viscosity --- Differential equations, Partial --- Viscous flow --- Systems theory. --- Differential equations, partial. --- Hydraulic engineering. --- Control and Systems Theory. --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Shore protection

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Preface -- Acronyms -- Preliminaries -- The Carleman Inequality for Linear Parabolic Equations -- Exact Controllability of Parabolic Equations -- Internal Controllability of Parabolic Equations with Inputs in Coefficients -- Feedback Stabilization of Semilinear Parabolic Equations -- Boundary Stabilization of Navier-Stokes Equations -- Index This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems. Starting from foundational questions on Carleman inequalities for linear parabolic equations, the author addresses the controllability of parabolic equations on a variety of domains and the spectral decomposition technique for representing them. This method is, in fact, designed for use in a wider class of parabolic systems that include the heat and diffusion equations. Later chapters develop another process that employs stabilizing feedback controllers with a finite number of unstable modes, with special attention given to its use in the boundary stabilization of Navier-Stokes equations for the motion of viscous fluid. In turn, these applied methods are used to explore related topics like the exact controllability of stochastic parabolic equations with linear multiplicative noise. Intended for graduate students and researchers working on control problems involving nonlinear differential equations, Controllability and Stabilization of Parabolic Equations is the distillation of years of lectures and research. With a minimum of preliminaries, the book leaps into its applications for control theory with both concrete examples and accessible solutions to problems in stabilization and controllability that are still areas of current research

517.98 --- Differential equations, Partial --- System theory --- Automatic control --- 517.98 Functional analysis and operator theory --- Functional analysis and operator theory --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Systems, Theory of --- Systems science --- Science --- Partial differential equations --- Philosophy --- Théorie de la commande --- Opérateurs paraboliques

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Partial differential equations --- Fluid mechanics --- Engineering sciences. Technology --- Artificial intelligence. Robotics. Simulation. Graphics --- vloeistofstroming --- differentiaalvergelijkingen --- aerodynamica --- systeemtheorie --- controleleer --- systeembeheer --- ingenieurswetenschappen --- vloeistoffen