|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Denn M. — Optimization by variational methods |
|
|
|
| Предметный указатель |
Absolute minimum see Global minimum
Action integral 109
Adiabatic bed 43
Adjoint 177 223
Akhiezer, N. 96
Aleksandrov, A. G. 268
Algebraic equations 5 45
Ames, W. F. 2 97
Amundson, N. R. 129 132 243
Approximate solution 59 88 117 164 287 317
Aris, R. 39 96 97 131 132 165 170 171 223—225 243 244 322 324 357 358 389 407
Athans, M. 131 132 169—171 223 267
Autocatalytic reaction 358
Bailey, R. E. 225
Balakrishnan, A. V. 322 389
Bang-bang control 140 145 151 153 255 258 370
Bankoff, S, G. 325
Bass, R. W. 170
Batch reactor 40 82 128 165 212 274
Battin, R. H. 223 323
Beightler, C. S. 38 39 69 358
Bekey, G. A. 243
Bellman, R. E. 2 39 62 68 169 220 225 322 323 392 407
Bendelius, A. R. 358 388
Berkovitz, L. D. 223
Bertram, J. E. 268
Beveridge, G. S. G. 357
Bilous, O. 129 132
Blakemore, N. 171 225
Blaquiere, A. 223
Bliss, G. A. 96 223 322
Blum, E. D. 357
Bohn, E.V 322
Boltyanskii, V. 131 169 223
Bolza, O. 96 97 268
Bottleneck problem 217 225
Bound see Constraint
Boundary condition see Transversality condition
Boundary iteration 272 278 321
Boundary-value problem see Two-point boundary-value problem
Box, M. J. 61 70
Brachistochrone 77
Bram, J. 69
Breakwell, J. V. 322
Brosilow, C. D. 268
Bryson, A. E. 225 322—325
Buck, R. C. 223
Buckley, P. S. 266
Bushaw, D. W. 169
Butkovskii, A. G. 387 389
Bypass 326
Calculus of variations see also Euler equation
Calculus of variations, isoperimetric problem 84 297 309
Calculus of variations, “simplest” problem 73 108
Canonical equations 106 136 184 232 378
Carroll, F. J. 323
catalyst 173 224 390
Catalytic reformer 202
Cauchy, A. 52 69
Chang, S. S. L. 244 266
chatter 256
Chemical reaction 27 40 41 98 111 199 202 329 337 351 371
Chemical reactor see Batch reactor; Continuous-flow stirred-tank reactor; Tubular reactor
Chou, A. 224
Chyung, D. H. 389
Clark, L. G. 389
Classical mechanics 109
Coddington, E. A. 222 224
Collatz, L. 97
Complex method 61 279
Condensor 42
Connolly, T. W. 2
Constraint 6 18 34
Constraint, on decisions 135 181 231
Constraint, on state variables 181 209 211 231 242 308
Continuity 5 212 214 221
Continuous-flow stirred-tank reactor 27 30 41 46 55 111 144 150 163 199 234 304 337 351
Control 1 10 38 212 247 266
Control variation see Variation
Convergence 54 57 61 64 68 69 277—279 299 302 305 307 311 312 319 321 343 347 353 367 374
Cooling rate 165 212 371
Corner condition 109
Cost-of-control term 117 124 132 159 250
Coste, J. 243
Coughanowr, D. R. 39 96 131 266 388
Courant, R. 39 96 323
Coward, I. 170
Cunningham, W. J. 2
Curse of dimensionality 272
Dantzig, G. B. 70
Das, p. 96 268
Data fitting 41
Decomposition 355
Definite function 9 21 43 259
Denbigh, D. G. 96 97
Denham, W. F. 225 323 324
Denn, M. M. 39 130—132 169 170 223 224 243 244 268 269 322 324 357 387—389
Design 1 2 24 128 130 165 235 300 304 371 376 386
Desoer, C. A. 223 243
DiBella, C. W. 69
Difference equation 36 64 228 236 262 398
Difference-differential equation 389
Differential calculus 4 34
Differential equation 176 221
Diffusion 98 359 371
Direct methods 295 337
Discrete system see Staged system
Discrete variable 11 13 15 23 36 73 262 395
Disjoint policy 82
Distance in decision space 54 68 296
Distillation 132
Distributed-parameter system 92 359 389
Disturbance 121 124 248 379 381
Douglas, J. 97 268
Douglas, J. M. 130 131 150 169 170 224 267 324 358
Drag, minimum 98
Dreyfus, S. E. 39 62 68 224 225 407
Duffin, R. J. 39
Dyer, P. 325
Dynamic programming 217 392
Dynamic programming, and the minimum principle 400 404
Dynamic programming, computation by 393
Eben, C. D. 39
Edelbaum, T. N. 38
Egorov, A. I. 389
Eigenvalue, estimation of 90
Englar, T. S. 268 325
Enns, M. 70
Equivalent formulation see Objective function
Euler equation 27 28 30 39 75 85 93 109 127 283 297 309
Existence 224
extractor 30 40 337
Extremal 77
Fadden, R. J. 322
Falb, P. 131 132 169 170 223 267
Fan, L. T. 30 39 244 357
Feedback control 11 17 80 114 120 123 125 132 142 147 160 247 249 251 255 264 319 380 406
Feedforward control 123 247 249 380
Ferron, J. R. 39 388
Fiacco, A. V. 40
Fibonacci search 49 62 68 355
Final time unspecified 104 105 184 364
Fine, F. A. 325
Finite variation 192 362
Finlayson, B. A. 97
First variation 181 231
Fl gge — Lotz, I. 170 256 268
Fletcher, R. 69
Fort, T. 40 243
Fr berg, C. E. 68
| Franks, R. G. E. 2
Fredholm equation 95 365
Fredrickson, A. G. 225
Fuel-optimal control 159
Fuller, A. T. 171 268
Function iteration 283 288 295 321
Functional 74
Fundamental matrix 177
Funk, P. 97 268
G&lerkin’s method 88 97 385
Gamkrelidze, R. 131 169 223
Gass, S. I. 70
Geometric programming 39 42
Geometry 21 53 54 296
Gilbert, E. G. 322
Glicksberg, I. 169
Glicksman, A. J. 66 70
Global minimum 6 197
Goddard’s problem 226
Goh, B. S. 225
Golden section 64
Goldfarb, D. 69
Goldstein, H. 131
Goodman, T. R. 322
Gottlieb, R. G. 324
Gradient 54 59 66
Gradient projection 308
Gray, R. D., Jr 388
Green's function 176 177 181 210 214 229 273 296 308 328 335 361 372 378 384 387 400
Greenly, R. R. 322
Green’s identity 177 181 230 273 296 308 328 335
Griffith, R. E. 69
Gross, O. 169
Gruver, W. A. 267
Hadley, G. 38 39 69 70 407
Halkin, H. 224 244
Hamilton — Jacobi — Bellman equation 398 400 402
Hamiltonian 106 109 136 184 232 297 316 328 335 378
Hancock, H. 38
Handley, K. R. 268
harmonic oscillator 153
Harvey, C. A. 225
Heat conduction 93 364 366
Heat exchanger 30 376 378 390
Heavy-water plant 71
hessian 9 21 46 57
Hestenes, M. 224
Hext, G. R. 70
Hierarchy of optimization problems 165 214
Hilbert, D. 96
Hildebrand, F. B. 68 97 268
Himsworth, F. R. 70
Hoge, A. R. 388
Holtzman, J. M. 244
Horn, F. J. M. 39 132 199 224 244 323 324 351 357
Hsia, T. C. 170 268
Index of performance see Objective function
Indirect methods 293
Instantaneously optimal control 254 264
Integral control see Reset mode
Integrating factor 176
Intermediate solution 139 145 151 153 157 160 213 365 369
Interval of uncertainty 50 62
Inverse matrix 46
Inverse problem 30 86 97 205 257
Isaacs, D. 324
Jackson, R. 39 170 244 357 389
Javinsky, M. A. 170
Jazwinsky, A. H. 322
Jeffreys, G. V. 40
Jenson, V: G. 40
Johansen, D. E. 324
Johnson, C. D. 162 170 225
Jump condition 212 214
Jurovics, S. A 322
Kadlec, R. H. 170
Kalaba, R. E. 2 322 323
Kalman, R. E. 39 96 131 132 224 267 268 323 325
Kantorovich, L. V. 97
Katz, S. 244 268 324 389
Kelley, H. J. 40 225 323 324
Kenneth, P. 323
Kgepck, R. 269
Kopp, R. E. 225 321 322 324
Koppei, L. 39 96 131 266 268 388
Krelle, W. 39
Kruskel, M. 39
Krylov, V. I. 97
Kuhn — Tucker theorem 39
Kunzi, H. P. 39
Lack, G. N. T. 70
Lagrange form 187
Lagrange multiplier 18 22 23 25 32 85 103 234 263 297 309 333 400
Lagrange multiplier rule 20 233 332
Lagrangian 20 202
Laminar flow 99
Lance, G. N. 322
Landau, L. D. 131
Laning, J. H., Jr 223 323
Lapidus, L. 69 70 267—269 321
LaSalle, J. P. 169 170 269
Lasdon, L. S. 324
Lee, E. B. 170 224 389
Lee, E. S. 132 292 323 324 413
Lee, I. 323
Lefschetz, S. 269
Legendre condition 207
Leitmann, G. 224
Leondes, C. T. 323 324
Lesser, H. A. 70
Levenspiel 0 224
Levinson, N. 222 224
Lewallen, J. M. 322
Liapunov function see Stability
Lifshitz, L. D. 131
Lin, R. C. 199 224 351 357
Lindorff, D. P. 268
Linear programming 65 70 220 356
Linear-quadratic problem see Quadratic objective
Lipschitz condition 222
Local minimum 6 197
Luh, J. Y. S. 225
Lurie, K. A. 389
Luus, R. 267 268 321
MAP 68 69
Markland, C. A. 325
Markus, L. 170 224 389
Marshall, W. R., Jr 40
Maximum conversion see Optimal yield
Maximum principle see Minimum principle
Mayer form 187
Mayne, D. 325
McCausland, I. 387
McCormick, G. P. 40
McGill, R. 322 323
McIntyre, J. E. 225 322
McReynolds, S. R. 325
Megee, R. D. III
Merriam, C. W. 131 132 266 324
Metric see Weighting function
Meyer, F. 323
Mickley, H. S. 40
Miele, A. 225
Mikami, K. 323
Millman, M. G. 268
min II 311 314 321
Minimum see Global minimum; Local minimum; Necessary conditions; Sufficient conditions
Minimum fuel-plus-time control 155
Minimum integral square-error criterion see Quadratic objective
Minimum principle for complex systems 328 337
|
|
|
| Реклама |
|
|
|
|
|
О проекте