Generalized optimal control of linear systems with distributed parameters
General Material Designation
[Electronic Resource]
First Statement of Responsibility
/ by Sergei I. Lyashko
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Dordrecht ; Boston
Name of Publisher, Distributor, etc.
: Kluwer Academic Publishers,
Date of Publication, Distribution, etc.
, c2002.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xv, 453 p. ill. 25 cm.
SERIES
Series Title
(Applied optimization
Volume Designation
; v. 69)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
e
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
ng
Text of Note
Includes bibliographical references (p. [443-453).
CONTENTS NOTE
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Machine generated contents note: General Preface Preface 1 OPTIMIZATION OF LINEAR SYSTEMS WITH GENERALIZED CONTROL 1. FORMULATION OF OPTIMIZATION PROBLEM FOR DISTRIBUTED SYSTEMS AND AUXILIARY STATEMENTS 2. EXISTENCE OF OPTIMAL CONTROL 2 GENERAL PRINCIPLES OF INVESTIGATION OF LINEAR SYSTEMS WITH GENERALIZED CONTROL 1. DIFFERENTIAL PROPERTIES OF PERFORMANCE CRITERION 2. REGULARIZATION OF CONTROL 3 NUMERICAL METHODS OF OPTIMIZATION OF LINEAR SYSTEMS WITH GENERALIZED CONTROL 1. PARAMETRIZATION OF CONTROL 2. PULSE OPTIMIZATION PROBLEM 3. ANALOGUE OF THE GRADIENT PROJECTION METHOD 4. ANALOGUE OF THE CONDITIONAL GRADIENT METHOD 5. PROBLEMS OF JOINT OPTIMIZATION AND IDENTIFICATION 6. GENERAL THEOREMS OF GENERALIZED OPTIMAL CONTROL 4 PARABOLIC SYSTEMS 1. GENERALIZED SOLVABILITY OF PARABOLIC SYSTEMS 2. ANALOGUE OF GALERKIN METHOD 3. PULSE OPTIMAL CONTROL OF PARABOLIC SYSTEMS 5 PSEUDO-PARABOLIC SYSTEMS 1. GENERALIZED SOLVABILITY OF PSEUDO- PARABOLIC SYSTEMS (THE DIRICHLET INITIAL BOUNDARY VALUE PROBLEM) 2. GENERALIZED SOLVABILITY OF PSEUDO- PARABOLIC SYSTEMS (THE NEUMANN INITIAL BOUNDARY VALUE PROBLEM) 3. PULSE OPTIMAL CONTROL OF PSEUDO- PARABOLIC SYSTEMS (THE DIRICHLET INITIAL BOUNDARY VALUE PROBLEM) 4. PULSE OPTIMAL CONTROL OF PSEUDO- PARABOLIC SYSTEMS (THE NEUMANN INITIAL BOUNDARY VALUE PROBLEM) 6 HYPERBOLIC SYSTEMS 1. GENERALIZED SOLVABILITY OF HYPERBOLIC SYSTEMS (THE DIRICHLET INITIAL BOUNDARY VALUE PROBLEM) 2. GENERALIZED SOLVABILITY OF HYPERBOLIC SYSTEMS (THE NEUMANN INITIAL BOUNDARY VALUE PROBLEM) 3. ANALOGIES OF GALERKIN METHOD FOR HYPERBOLIC SYTSEMS 4. PULSE OPTIMAL CONTROL OF HYPERBOLIC SYSTEMS (THE DIRICHLET INITIAL BOUNDARY VALUE PROBLEM) 7 PSEUDO-HYPERBOLIC SYSTEMS 1. GENERALIZED SOLVABILITY OF PSEUDO- HYPERBOLIC SYSTEMS (THE DIRICHLET INITIAL BOUNDARY VALUE PROBLEM) 2. GENERALIZED SOLVABILITY OF PEUDO- HYPERBOLIC SYSTEMS (THE DIRICHLET INITIAL BOUNDARY VALUE PROBLEM) 3. ANALOGIES OF GALERKIN METHOD FOR PSEUDO-HYPERBOLIC SYSTEMS 4. PULSE OPTIMAL CONTROL OF PSEUDO- HYPERBOLIC SYSTEMS (THE DIRICHLET INITIAL BOUNDARY VALUE PROBLEM) 5. PULSE OPTIMAL CONTROL OF PSEUDO- HYPERBOLIC SYSTEMS (THE NEUMANN INITIAL BOUNDARY VALUE PROBLEM) 8 SYSTEMS WITH HYPERBOLIC OPERATOR COEFFICIENTS 1. HYPERBOLIC SYSTEM WITH OPERATOR COEFFICIENT 2. GALERKIN METHOD FOR DISTRIBUTED SYSTEMS 3. PULSE OPTIMAL CONTROL OF THE SYSTEMS WITH HYPERBOLIC OPERATOR COEFFICIENT 9 SOBOLEV SYSTEMS 1. EQUATION OF DYNAMICS OF VISCOSE STRATIFICATED LIQUID 2. ONE SOBOLEV PROBLEM 3. PULSE OPTIMAL CONTROL OF THE DYNAMICS EQUATION OF VISCOSE STRATIFIED LIQUID 4. PULSE OPTIMAL CONTROL OF ONE SOBOLEV SYSTEM 10 CONTROLABILITY OF LINEAR SYSTEMS WITH GENERALIZED CONTROL 1. TRAJECTORY CONTROLABILITY 2. TRAJECTORY-FINAL CONTROLABILITY 3. PULSE CONTROLABILITY OF PARABOLIC SYSTEMS 4. SUBDOMAIN CONTROLABILITY OF PSEUDOPARABOLIC SYSTEMS 11 PERSPECTIVES 1. GENERALIZED SOLVABILITY OF LINEAR SYSTEMS 2. PARAMETRIZATION OF SINGULAR CONTROL IN GENERAL CASE 3. DIFFERENTIAL PROPERTIES OF PERFORMANCE CRITERION IN GENERAL CASE 4. CONVERGENCE OF GRADIENTS METHODS ANALOGUES 5. OPTIMIZATION OF PARABOLIC SYSTEMS WITH GENERALIZED COEFFICIENTS References.