Attempts to create the general theory of optimization of linear systems (both distributed and lumped) with a singular control. This book touches upon a range of issues such as the existence of optimal controls, the necessary conditions of optimality, the controllability of systems, and more.
Attempts to create the general theory of optimization of linear systems (both distributed and lumped) with a singular control. This book touches upon a range of issues such as the existence of optimal controls, the necessary conditions of optimality, the controllability of systems, and more.
This text attempts to create the general theory of optimization of linear systems (both distributed and lumped) with a singular control. It 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.
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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