Page 201 - Complementarity and Variational Inequalities in Electronics

192 Index

F P0-matrix, 62
Fenchel transform, 13 Panagiotopoulos, 21
Four-diode bridge full-wave rectifier, 120 Polar cone, 17
Positive definite matrix, 59
G Positive semidefinite matrix, 60
Global attractivity, 157 Positive semistable matrix, 65
Gronwall inequality, 153
Positive stable matrix, 62
H Practical diode, 22
Principal minor, 57
Homotopy, 81
Principal submatrix, 56
I Proper function, 7
Ideal diode, 21 Proximal operator, 34
Identity mapping, 1 R
Identity matrix, 1
Range, 56
Indicator function, 16
Recession cone, 46
Invariance theorem, 169
Recession function, 49
Invariance theory, 166
Recession mapping, 113
Invariant set, 166
Rectifier–stabilizer circuit, 37, 133
K Routh–Hurwitz criterion, 58
Kalman–Yakubovich–Popov lemma, 149 Routh–Hurwitz matrix, 57
Kernel, 56
S
L Sampling gate, 130
Leading principal minor, 57 Semicoercivity, 93
Lipschitz continuous, 153 Set-valued function, 19
Lower semicontinuous function, 7 Spectral radius, 64
Lyapunov stability, 155 Stability, 156
Lyapunov’s theorem, 62 Strictly copositive matrix, 61
Subdifferential, 7
M Sylvester’s criterion, 59
M-matrix, 64
Maximal monotone, 19 T
Monotone, 19 Transistor, 29
Moreau, 21
V
N Variational inequality, 33, 35, 45
Nonregular dynamical system, 145 Varistor, 29
Normal cone, 16
W
O Weakly positive definite matrix, 66
Operational amplifier, 142 Weakly positive semidefinite matrix, 66
Orbit, 166
Z
P Z-matrix, 63
P-matrix, 61 Zener diode, 25