- 279 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Dynamical Inverse Problems of Distributed Systems
About this book
This monograph deals with problems of dynamical reconstruction of unknown variable characteristics (distributed or boundary disturbances, coefficients ofoperator etc.) for various classes of systems with distributed parameters (parabolic and hyperbolic equations, evolutionary variational inequalities etc.).
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Yes, you can access Dynamical Inverse Problems of Distributed Systems by Vyacheslav I. Maksimov in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Introduction
- Chapter 1. Problems of dynamical modeling in abstract systems
- 1.1. Reconstruction of inputs in dynamical systems. The method of auxiliary controlled models
- 1.2. Method of Stabilization of Lyapunov Functionals
- 1.3. Reconstruction of distributed controls in abstract systems. The case of instantaneous restrictions imposed on controls
- Chapter 2. Approximation of inputs in parabolic equations
- 2.1. Reconstruction of distributed controls in nonlinear parabolic equations
- 2.2. Approximation of boundary controls in Neumann conditions and of coefficients of the elliptic operator
- 2.3. Reconstruction of intensities of point sources through results of sensory measurements
- 2.4. Approximation of boundary controls. The case of Dirichlet boundary conditions
- Chapter 3. Approximation of inputs in parabolic variational inequalities
- 3.1. Dynamical discrepancy method
- 3.2. The role of a priori information in the problem of control reconstruction. The method of smoothing functional
- 3.3. Applications to inverse problems of mathematical physics and mechanics
- Chapter 4. Finite-dimensional approximation of inputs. Examples
- 4.1. Reconstruction of boundary controls. The dynamical discrepancy method
- 4.2. Reconstruction of distributed control. The method of smoothing functional
- 4.3. Reconstruction of coefficients of the elliptic operators and boundary controls
- 4.4. The results of computer modeling
- Bibliography