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Generalized Solutions of Operator Equations and Extreme Elements (Hardcover, 2012 ed.): D.A. Klyushin, S. I. Lyashko, D.A.... Generalized Solutions of Operator Equations and Extreme Elements (Hardcover, 2012 ed.)
D.A. Klyushin, S. I. Lyashko, D.A. Nomirovskii, Yu.I. Petunin, Vladimir Semenov
R2,884 Discovery Miles 28 840 Ships in 10 - 15 working days

Abstract models for many problems in science and engineering take the form of an operator equation. The resolution of these problems often requires determining the existence and uniqueness of solutions to these equations. "Generalized Solutions of Operator Equations and Extreme Elements" presents recently obtained results in the study of the generalized solutions of operator equations and extreme elements in linear topological spaces. The presented results offer new methods of identifying these solutions and studying their properties. These new methods involve the application of a priori estimations and a general topological approach to construct generalized solutions of linear and nonlinear operator equations. The monograph is intended for mathematicians, graduate students and researchers studying functional analysis, operator theory, and the theory of optimal control.

Generalized Optimal Control of Linear Systems with Distributed Parameters (Hardcover, 2002 ed.): S. I. Lyashko Generalized Optimal Control of Linear Systems with Distributed Parameters (Hardcover, 2002 ed.)
S. I. Lyashko
R3,148 Discovery Miles 31 480 Ships in 10 - 15 working days

The author of this book made an attempt to create the general theory of optimization of linear systems (both distributed and lumped) with a singular control. The book touches upon a wide range of issues such as solvability of boundary values problems for partial differential equations with generalized right-hand sides, the existence of optimal controls, the necessary conditions of optimality, the controllability of systems, numerical methods of approximation of generalized solutions of initial boundary value problems with generalized data, and numerical methods for approximation of optimal controls. In particular, the problems of optimization of linear systems with lumped controls (pulse, point, pointwise, mobile and so on) are investigated in detail.

Generalized Optimal Control of Linear Systems with Distributed Parameters (Paperback, Softcover reprint of the original 1st ed.... Generalized Optimal Control of Linear Systems with Distributed Parameters (Paperback, Softcover reprint of the original 1st ed. 2002)
S. I. Lyashko
R2,927 Discovery Miles 29 270 Ships in 10 - 15 working days

The author of this book made an attempt to create the general theory of optimization of linear systems (both distributed and lumped) with a singular control. The book touches upon a wide range of issues such as solvability of boundary values problems for partial differential equations with generalized right-hand sides, the existence of optimal controls, the necessary conditions of optimality, the controllability of systems, numerical methods of approximation of generalized solutions of initial boundary value problems with generalized data, and numerical methods for approximation of optimal controls. In particular, the problems of optimization of linear systems with lumped controls (pulse, point, pointwise, mobile and so on) are investigated in detail.

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