Krotov V. — Global Methods in Optimal Control Theory :: Электронная библиотека попечительского совета мехмата МГУ

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Krotov V. — Global Methods in Optimal Control Theory

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Название: Global Methods in Optimal Control Theory

Автор: Krotov V.

Аннотация:

This work describes all basic equaitons and inequalities that form the necessary and sufficient optimality conditions of variational calculus and the theory of optimal control. Subjects addressed include developments in the investigation of optimality conditions, new classes of solutions, analytical and computation methods, and applications.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 408

Добавлена в каталог: 16.04.2007

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Предметный указатель

Absolute invariance      363
Absolute minimum problem      133
Achievability regions      49
Adjoint vector      133
Admissible controlled process      3
Andrecva, A.A.      312
Approximate optimal synthesis      190 204 333
Bellman function      230 295
Bellman, R.      18
Berkovitz, L.D.      369
Borelian measure      302
Borshchevski, M.Z.      124
Bounding function      35
Bryson, A.E.      233
Bukreev, V.Z.      230
Butkovski, A.G.      18
Caratheodory, C      54
Chernousko, F.L.      233
Chicala, P.      125
Clarke, F.H      299
Closure of variational problem      21
Conjugate variables      133
Control of observation process      244
Control under most adverse conditions      318
Control, synthesis      9 48; 232 331
Controlled processes      3
Convex Problem      131 161
Cyclic sliding policy      123
Decomposition      22
Degenerate variational problems      29 32 60 79 109 113 154 250
Differential games      319 331 337 351 369
Discontinuous solution      31 112 122
Distributed parameters      4
Disturbance factors      317
Dual problem of optimal control      21 43 260 302 310
Dychta, V.A.      123
Dynamic programming      181
Egorov, V.A.      125
Elementary operation      266
Eneev, T.M.      125 233
Equivalent extension      21
Equivalent representations      24 152
Estimation of optimality for control syntheses      48 192
Euler’s Problem of calculus of variations      29 32 123 146 171
Existence theorems for solving functions      287
Feedback policy      9 48 177 317
Feldman, I.      234
Field of extremals      183
Filippov, A.F.      121 122
Flight dynamics variational problems      9 88 197 365
Game theory      370
Gamkrelidze, R.      122 137
General optimization problem      1
Generalized flow      302 304
Girsanov, I.V.      53 130
Global bounds      34 323
Global improvement of control      237 244 251
Goncharov, A.D.      124
Gonsales, R.L.      53 297
Gradient improving method      250
Gurman, V.I.      53 123 124 324 112
Hamilton — Jacobi equation      181
Hamilton — Jacobi method      177
Hamiltonian      249
Hammel, Z.      9 18
Hibbs, A.      125
Hilbert, D.      121 311
Impulse sliding policy [(x, u)-policy]      33 66 96
Incomplete information      316 343
Information price (cost)      343
Invariant systems      318 359 364
Ioffe, A.D.      53 121 299
Ioslovich, I.V.      124
Jacobi conditions      148
Kantarovich, L.      304
Kanzakov, V.A.      6 22
Kelley, N.J.      233
Khrustalev, M.M.      53 125 130 304 311 312 371
Kirillova, F.      190
Kloetzler, R.      53 122 304 305 312
Knapsak problem      254
Kolokolnikova, G.A.      123
Konstantinov, G.N.      312
Krasnov, I.      18 126
Krasovskii, N.N.      369 371

Kurganski, A.B.      319 369 371
Kuznetsov, N.A.      244
Lagrange’s functional      25 53 157 166
Leitmann, J.      18 53 311
Letov, A.M.      230
Lewis, R.M.      53 305 306
Local improvement of control      234
Lower bound maximization problem      22 35 264 302 307
Macromodels of economic development      13 18 69
Measurement operator      9 2
Miele, A.      124 125
Morgenstern, O.      370
Moskalenko, A.I.      53 312
Moskalenko, V.J.      230
Multiargument processes      4
Multiple Maxima Method      66
Multistage processes      4
Neumann, J.      370
Observable parameters      317
Optimal control      5
Ordinary process      4
Osipov, Yu.S.      369
Phase coordinates      5
Pickenhain, S.      312
Picone, M.      174
Pontryagin, L.S.      18 369
position control      123
Principle of least action      151
Principle of maximum      131
Principle of optimality      51
Principle, extension      20
Process control      123
Process state      3
program control      5
Propoi, A.I.      241
Pulsed thrust program      96
Quantum systems control      17.115 248
Ramsay, F.      14 18
Razmadze, A.M.      123
Realization of the controlled process      317
Riccarti’s equation      6 13 148 188
Rieman, G.      120
Rockafellar, R.T.      305
Rosenberg, G.S.      53 174
Roshina, A.A.      124
Rosonoer, L.I.      362 371
Rubio, E.J.      53 122 123 230 304 305
Rudolf, H.      305
Samoilenco, Yu.      18
Scheduling Theory      161
Schipanov, G.V.      371
Schrodinger equation      246
Sergeev.S.I.      286
Shaperev, N.      18 126
Skedov, I.      18 126
Sliding regime      66 122 247
Solow, R.M.      18 124
Solving function      43
Somoloi, J.      253
Stochastic variances estimates      244
Stoddart, A.W.J.      40 53
Strengthened lower bounds      49
Strengthened sufficient optimality conditions      49
Strong local minimum      143 172
Stum Theorem      148
Subbotin, A.I.      312 369 371
Subbotina, N.N.      312
Sufficient measurement operator      320 346
Sufficient Optimality Conditions      42 46 323
Synthesis of controllers      12 186 215
Tannor, D.J.      253
Time      5
Tonelli, L.      121
Trajectory      5 183
Transversality conditions      136
Tregub, M.V.      230
Vapnyarsky, I.B.      122 123
Viability      371
Vinter, R.B.      53 299 305 306
Warga, J.      121 122
Weak optimal control problem      302 304
Weak solving function      297
Weierstrass, K.      120 122 147
Young, L.C      54 57 83 304
Ziedan      175

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