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| Gupta M.M., Jin L., Homma N. — Static and dynamic neural networks |
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| Предметный указатель |
Isolated DNU 307
Isolated local minimum 365
Jacobian 366
Jacobian matrix 203
K-means clustering 242
Key pattern vector 593
Kirchhoff’s current law 351
Kirchhoff’s law 309
Kolmogorov’s mapping neural network, existence theorem 278
Kolmogorov’s superposition theorem 275
Kolmogorov’s theorem 254
Krasovskii’s theorem 464
Kronecker delta function 427
Lagrange multiplier 141 400
Lagrangian 141 400
Large-scale system 298
LaSalle’s invariance principle 475
latency 26
Lateral connection 346
Lateral inhibition 31 39
Lateral inhibition, connection 301
Lattice property 256
Learning 4 12 36 63 94 431 652
Learning, algorithm 394
Learning, associative 36—37
Learning, rate 66
Learning, supervised 38 140 242
Learning, unsupervised 38
Least mean square 245
Least squares (LS) 172
Least squares (LS), criterion 172
Least squares (LS), estimation 202
Least squares (LS), minimization 203
Lebesgue-integrable function 257
Limit cycle 519
Limit point 255
Linear 63
Linear activation function 451
Linear combiner 63 119
Linear error 69
Linear programming 62
Linear splines radial basis function 229
Linear subspace 256
Linear term 470
Linearized least squares learning 202
Linearly separable function 54
Linguistic input 634
Linguistic output 634
Linguistic variable 636 641
Li’s norm stability condition 486
LLSL 202
LMS 245
Local asymptotic stability 436—437
Local Lyapunov function 474
Local minimum 162 365
Local stability theorem of Lyapunov 474
Locally asymptotically stable 476
Locomotion 4
Logic 44
Logic, binary 45
Logic, function 284
Logic, threshold— 44 51 94
Logistic function 259
Lotka — Volterra equation 450
Lyapunov function 310 358 519
Lyapunov function method 333
Lyapunov stability 333 436
Lyapunov’s first method 368 439 476
Lyapunov’s indirect method 439 476
Lyapunov’s second method 436
Max-min fuzzy neuron 650
Mc-P unit 272
McCulloch — Pitts neuron 85
MDL 179 183
Mean square error 75
Mean-value theorem 448 489
Measure of the relevance 183
Memory 4 27
Memory, associative 35
Memory, long-term (LTM) 27 31 33 39
Memory, matrix 592
Memory, sensory (SM) 32
Memory, short-term (STM) 31 33 40
Metric space 255
Metzler matrix 449
MFNN 18 106 172 259
MIMO 219
Min-max fuzzy neuron 649
Minimal disturbance principle 71
Minimum 162
Minimum description length 179 183
Minimum, global 162
Minimum, local 162
Modified logistic neural network 292
Modified relaxation 69
Momentum constant 145
Momentum term 144
Monotonicity 383 647
Moore — Penrose pseudoinverse 619
Multiinput/multioutput 219
Multilayered feedforward neural network 18 106 172 259 398
Multiple nonlinear feedback 324
Multiquadratic radial basis function 229
Natural language 14 636
NDEKF 206
Nerve action potential 25
Nerve impulse 24—25
Neural filter 396
Neural logic network 272
Neural network 5
Neural network, discrete-time binary 510
Neural network, dynamic 351
Neural network, Hopfield 351
Neural network, multilayered feedforward 106
Neural network, static 106
Neural network, two-layered 107
Neural population 40
Neural state 40 470
Neurobiology 316
Neurocontrol 9
neuron 5 9 22 39 44 85 94
Neuron, artificial 85
Neuron, biologic 85
Neuron, computational 85
Neuron, excitatory 39
Neuron, inhibitory 39
Neuron, McCulloch — Pitts 85
Neuron-decoupled EKF 206
Neuronal approximation 13
Nominal point 186
Nonactive state 511
Nonlinear 9 286
Nonlinear characteristics 395
Nonlinear mapping operation 9
Nonlinear sigmoidal function 451
Nonlinear surface fitting 286
Nonorthogonal pattern vector 608
Nonorthogonality 614
Nonsigmoidal function 261
Nonsingular 283
Norm stability condition 481
Normal fuzzy set 637
NOT operation 46
OBD 186 188
OBS 186 189
Ohm’s Law 309
One-step prediction 208
Operating region 396
Operation 29 45
Operation, AND 45
| Operation, NOT 46
Operation, OR 45
Operation, somatic 29 85 132
Operation, synaptic 29 85 132
Operation, XOR 47
Optimal brain damage 186 188
Optimal brain surgeon 186 189
Optimal control theory 140
Optimal structure 159
Optimality condition 141
Optimization process 113
OR operation 45
Ordered partition 562
Orthogonal pattern 586
Orthogonal projection 619
Orthogonal projection matrix 619
Outer-product rule 582
Output 301
Output layer 130
Pain reflex 30
Parallel mode 513
Parallel operating mode 551
Parity function 47
Partial parallel mode 513
Pattern classification 127
Pavlov’s experiment 37
Perceptron 65
Perceptron,  66
Perceptron, fixed-increment 69
Period 513
Periodic point 512
Pi-sigma network 288
Piecewise-constant function 267
Pitchfork bifurcation 334
Plateau 149
Point attractor 396
Polak — Ribiere formulation 201
Population biology 316
Population effect 395
Positivity 383
Potential function network 224
Probe vector 593
Product-sum fuzzy neuron 650
Projection learning rule 580
Projection matrix 235
Projection method 234
Projection rule 619
Propagation error 116
Protoplasm 24
Pruning 183
Pruning, first-order 183
Pruning, second-order 183
Pseudoinverse 284
Pseudoinverse rule 619
q-step prediction 208
Quantizer error 65
Quasi-Newton method 199
Radial basis function 18 224—225
Radial basis function, cubic splines 229
Radial basis function, Gaussian 224 229
Radial basis function, inverse multiquadratic 229
Radial basis function, linear splines 229
Radial basis function, multiquadratic 229
Radial basis function, network 224
Radial basis function, thin plate splines 229
RAM 625
Random Access Memory 625
RBF 18 224
RBF, network 224
RBFN 224
Recurrent connection 346
Recurrent neural network 298
Recursive least squares 219 431
Refractory period 26 40 48 317
Refractory period, absolute 27
Region of asymptotic stability 437
Region of attraction 437
Regular fuzzy neural network 656
Rest state 511
retina 40
RFNN 656
Ridge function 289
Ridge polynomial neural network 289
Robust stability 445
RPNN 289
S operator 647
Saddle 439
Saddle, equilibrium point 476
Saddle, point 162
Saliency 186
Saturating function 262 312 652
Scaled conjugate gradient method 200
SCG 200
Schur stability 482
Second-order pruning 183
Self-feedback coefficient 470
Self-feedback linear term 470
Self-organization 12
Self-recall 580 594
Self-recurrent connection 301
Semilinear unit 267
Sensitivity 185
Sensitivity system 413
Sensitization 36—37
Sensor 30
Separability 256
Serial mode 513
Shape matrix 236
Sigma-pi network 287
Sigmoidal activation function 373
Sigmoidal cosine squashing function 263
Sigmoidal function 471
Signum function 262 517
Single-input/single-output 211
Singular-value decomposition 76 235
Sink 439 476
SISO 211
Skew-symmetric 332 465 517 556
Smoothness 383
Soft computing 4 7
Solvability condition 234
Soma 9 22 24 28 40
Somatic operation 29 85 132
Source 439 476
Speech 4
Spike 25
Spurious memory 593
Spurious state 369
Squashing function 262
Stability analysis 18 436
Stable equilibrium point 519
Stable state 513
State attractor 333
State feedback 298
State space 512
State trajectory 311 394 396 512
Static neural network 18 106
Statistical information 7
Steady adjoint equation 428
Steady state 394 512
Steady-state, memory 373
Steady-state, solution 348
Step function 48
Stimulus 40
Stone — Weierstrass theorem 18 239 254 256 674
Sup-star composition 643
Supervised learning 140 242
Supremum 255
Switching algebra 45
symmetric 479
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