Ebook: Generalized Optimal Control of Linear Systems with Distributed Parameters

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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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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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.

Content:
Front Matter....Pages i-xv
Optimization of Linear Systems with Generalized Control....Pages 1-44
General Principles of Investigation of Linear Systems with Generalized Control....Pages 45-106
Numerical Methods of Optimization of Linear Systems with Generalized Control....Pages 107-136
Parabolic Systems....Pages 137-160
Pseudo-parabolic Systems....Pages 161-177
Hyperbolic Systems....Pages 179-205
Pseudo-hyperbolic Systems....Pages 207-330
Systems with Hyperbolic Operator Coefficients....Pages 331-348
Sobolev Systems....Pages 349-364
Controllability of Linear Systems with Generalized Control....Pages 365-388
Perspectives....Pages 389-441
Back Matter....Pages 443-455

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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.

Content:
Front Matter....Pages i-xv
Optimization of Linear Systems with Generalized Control....Pages 1-44
General Principles of Investigation of Linear Systems with Generalized Control....Pages 45-106
Numerical Methods of Optimization of Linear Systems with Generalized Control....Pages 107-136
Parabolic Systems....Pages 137-160
Pseudo-parabolic Systems....Pages 161-177
Hyperbolic Systems....Pages 179-205
Pseudo-hyperbolic Systems....Pages 207-330
Systems with Hyperbolic Operator Coefficients....Pages 331-348
Sobolev Systems....Pages 349-364
Controllability of Linear Systems with Generalized Control....Pages 365-388
Perspectives....Pages 389-441
Back Matter....Pages 443-455
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