Author: V. KomornikPublisher: Elsevier Masson
ISBN:
Category : Science
Languages : en
Pages : 172
Book Description
Exact Controllability and Stabilization
Author: V. KomornikPublisher: Elsevier Masson
ISBN:
Category : Science
Languages : en
Pages : 172
Book Description
Exact Controllability and Stabilization of the Wave Equation
Author: Enrique ZuazuaPublisher: Springer Nature
ISBN: 3031588576
Category :
Languages : en
Pages : 144
Book Description
Controllability and Stabilization of Parabolic Equations
Author: Viorel BarbuPublisher: Springer
ISBN: 331976666X
Category : Science
Languages : en
Pages : 234
Book Description
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.
Exact Controllability Stabilization and Perturbations for Distributed Systems
Author: Jacques-Louis LionsExact Controllability and Stabilization of a Vibrating String with an Interior Point Mass
Author: University of Minnesota. Institute for Mathematics and Its ApplicationsPublisher:
ISBN:
Category :
Languages : en
Pages : 38
Book Description
Exact Controllability and Uniform Stabilization of the Euler-Bernoulli and Kirchoff Plate Equations with Boundary Feedback Acting Via Bending Moments Only
Author: Mary Ann HornThe Regularity, Exact Boundary Controllability and Stabilization of a Membrane with Strings on General Polygonal Domains
Author: Bo LiuExact Controllability and Stabilization of Hyperbolic Systems Through Boundary Control
Author: Ahmed EljendyPublisher:
ISBN: 9789516807600
Category : Wave equation
Languages : en
Pages : 14
Book Description
Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems
Author: Martin GugatPublisher:
ISBN: 9783319188911
Category :
Languages : en
Pages :
Book Description
This brief considers recent results on optimal control and stabilization of systems governed by hyperbolic partial differential equations, specifically those in which the control action takes place at the boundary. The wave equation is used as a typical example of a linear system, through which the author explores initial boundary value problems, concepts of exact controllability, optimal exact control, and boundary stabilization. Nonlinear systems are also covered, with the Korteweg-de Vries and Burgers Equations serving as standard examples. To keep the presentation as accessible as possible, the author uses the case of a system with a state that is defined on a finite space interval, so that there are only two boundary points where the system can be controlled. Graduate and post-graduate students as well as researchers in the field will find this to be an accessible introduction to problems of optimal control and stabilization.
Exact and Approximate Controllability for Distributed Parameter Systems
Author: Roland GlowinskiPublisher:
ISBN: 9781107096073
Category : MATHEMATICS
Languages : en
Pages : 472
Book Description
A thorough mathematical analysis of controllability problems with a detailed investigation of methods for solving them numerically.