Introduction to the Series |
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ix | |
Preface |
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xi | |
Acknowledgements |
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xiii | |
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1 | (2) |
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1 | (1) |
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2 | (1) |
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2 | (1) |
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3 | (1) |
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Basic Notions and Designations |
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3 | (6) |
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Stabilization of Programmed Motions in General |
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9 | (1) |
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Statement of the Problems |
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9 | (6) |
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Continuous stabilization problem |
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10 | (1) |
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Linear stabilization problem |
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11 | (3) |
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Relay stabilization problem |
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14 | (1) |
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Stabilization problem with the choice of control directions |
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14 | (1) |
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Stabilization problem with the use of auxiliary variables |
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15 | (1) |
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Stabilization of Linear Stationary Systems |
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15 | (16) |
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15 | (4) |
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Systems with several controls |
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19 | (10) |
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Partially controlled systems |
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29 | (2) |
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Stabilization of Linear Non-Stationary Systems |
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31 | (20) |
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Systems with scalar control |
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31 | (3) |
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Systems with several controls |
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34 | (8) |
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Partially controlled systems |
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42 | (2) |
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44 | (7) |
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System of Hierarchical Structure. Estimation of Inertia of Actuating and Measuring Devices |
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51 | (21) |
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Systems of hierarchical structure with scalar control |
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51 | (12) |
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Systems of hierarchical structure with vector control |
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63 | (5) |
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Estimation of the inertia of measuring and actuating devices |
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68 | (4) |
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Stabilization in a Strong Sense and Relay Stabilization |
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72 | (18) |
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Stabilization in a strong sense |
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72 | (6) |
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78 | (5) |
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The structure of a limiting set appearing in relay stabilization |
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83 | (7) |
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Stabilization of Systems with Coefficient Scattering |
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90 | (12) |
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Linear non-stationary systems |
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90 | (7) |
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Systems of hierarchical structure |
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97 | (5) |
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Stabilization of Non-Stationary Systems with Incomplete Feedback |
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102 | (9) |
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Lowering of the system order |
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103 | (2) |
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Stabilization in a strong sense and relay stabilization |
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105 | (6) |
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Stabilization with the Choice of Control Directions and the Use of Auxiliary Variables |
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111 | (11) |
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Stabilization with the choice of control directions |
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111 | (3) |
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Stabilization by means of auxiliary variables |
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114 | (8) |
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Some Approaches to Controlled Uncertain Dynamic Systems |
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122 | (7) |
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122 | (7) |
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129 | (4) |
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Stabilization in the Case of Discrete Information on the System State |
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133 | (1) |
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Formulation of Problems. Auxiliary Statements |
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133 | (14) |
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133 | (2) |
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Transition to difference equations |
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135 | (5) |
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140 | (7) |
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Stabilization of Discrete Systems |
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147 | (13) |
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Stabilization in the case of complete feedback |
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147 | (8) |
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Stabilization in the case of incomplete feedback |
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155 | (5) |
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Stabilization of Hybrid Systems |
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160 | (16) |
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Linear stabilization of hybrid systems by means of controls of the form (2.1.4) |
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160 | (7) |
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Linear stabilization of hybrid systems by means of controls of the form (2.1.5) |
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167 | (6) |
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Linear stabilization of hybrid systems with the use of control directions and with the introduction of auxiliary variables |
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173 | (3) |
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176 | (1) |
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Optimal Control of Linear Equations and Quadratic Quality Criteria |
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177 | (1) |
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Statement of Main Problems |
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177 | (4) |
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Optimal Stabilization of Non-Stationary Systems with Continuous Time |
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181 | (17) |
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Systems with infinite functioning time |
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182 | (8) |
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Systems with finite functioning time |
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190 | (8) |
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Optimal Stabilization of Non-Stationary Systems with Discrete Time |
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198 | (14) |
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Formulation and discussion of the results |
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198 | (6) |
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Proof of Theorems 3.3.1-3.3.3 |
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204 | (8) |
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212 | (3) |
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Stabilization of Variable Structure Systems |
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215 | (1) |
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Statement of the Problems. Basic Results |
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215 | (19) |
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Statement of the problems |
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215 | (2) |
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Solution of orbital stability problem |
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217 | (11) |
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Solution of orbital stabilization problem |
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228 | (6) |
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Examples of Auto-Oscillation Construction |
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234 | (20) |
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Auto-oscillation construction in systems with transistor switches |
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234 | (6) |
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Auto-oscillation construction in systems with thyristor transformers |
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240 | (14) |
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254 | (3) |
References |
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257 | (6) |
Subject Index |
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263 | |