Generalized Optimal Control of Linear Systems with Distributed Parameters

1. Front Matter

   Pages i-xv

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2. Optimization of Linear Systems with Generalized Control

   Pages 1-44

3. General Principles of Investigation of Linear Systems with Generalized Control

   Pages 45-106

4. Numerical Methods of Optimization of Linear Systems with Generalized Control

   Pages 107-136

5. Parabolic Systems

   Pages 137-160

6. Pseudo-parabolic Systems

   Pages 161-177

7. Hyperbolic Systems

   Pages 179-205

8. Pseudo-hyperbolic Systems

   Pages 207-330

9. Systems with Hyperbolic Operator Coefficients

   Pages 331-348

10. Sobolev Systems

    Pages 349-364

11. Controllability of Linear Systems with Generalized Control

    Pages 365-388

12. Perspectives

    Pages 389-441

13. 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.

• Boundary value problem
• Optimal control
• control
• optimization
• partial differential equation
• partial differential equations

• Kiev National Shevchenko University, Ukraine

  Sergei I. Lyashko

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