UID:
almafu_9960161220102883
Umfang:
1 online resource (193 pages) :
,
illustrations.
ISBN:
0-12-813390-2
Serie:
Mathematical Analysis and its Applications
Anmerkung:
Front Cover -- Complementarity and Variational Inequalities in Electronics -- Copyright -- Contents -- List of Figures -- About the Author -- Acknowledgment -- Introduction -- 1 The Complementarity Problem -- 1.1 The Complementarity Relation -- 1.2 The Complementarity Relation in Electronics -- 1.3 The Complementarity Problem -- 1.4 The Complementarity Problem in Electronics -- 2 The Convex Subdifferential Relation -- 2.1 The Convex Subdifferential Relation -- 2.2 The Normal Cone -- 2.3 The Convex Subdifferential Relation in Electronics -- 2.3.1 Ideal Diode Model -- 2.3.2 Practical Diode Model -- 2.3.3 Complete Diode Model -- 2.3.4 Zener Diode Models -- 2.3.5 Empirical Diode Model -- 2.3.6 Varistor Model -- 2.3.7 Transistor Models -- 3 The Variational Inequality Problem -- 3.1 The Variational Inequality -- 3.2 The Variational Inequality Model in Electronics -- 3.3 A General Clipping Circuit -- 3.4 A Recti er-Stabilizer Circuit -- 4 A Variational Inequality Theory -- 4.1 Recession Tools -- 4.2 Special Classes of Matrices M and Functions F -- 4.2.1 Routh-Hurwitz Matrix -- 4.2.2 Positive De nite Matrix -- 4.2.3 Positive Semide nite Matrix -- 4.2.4 Strictly Copositive Matrix -- 4.2.5 Copositive Matrix -- 4.2.6 P-Matrix -- 4.2.7 P0-Matrix -- 4.2.8 Positive Stable Matrix -- 4.2.9 Z-Matrix -- 4.2.10 M-Matrix -- 4.2.11 Positive Semistable Matrix -- 4.2.12 Weakly Positive De nite Matrix -- 4.2.13 Weakly Positive Semide nite Matrix -- 4.2.14 Proper Convex Functions -- 4.2.15 Class of (M,F) ∈PDn -- 4.2.16 Class of (M,F) ∈PD0n -- 4.2.17 Class of (M,F) ∈Pn -- 4.2.18 Class of (M,F) ∈P0n -- 4.2.19 Class of (M,F) ∈PSn -- 4.2.20 Class of (M,F) ∈PS0n -- 4.2.21 Class of (M,F) ∈DSn -- 4.2.22 Class of (M,F) ∈DS0n -- 4.2.23 Class of (M,F) ∈Qn -- 4.2.24 Class of (M,F) ∈Q0n -- 4.3 A Necessary Condition of Solvability -- 4.4 A Spectral Condition of Solvability.
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4.5 A Boundedness Condition -- 4.6 Positivity and Solvability Conditions -- 4.7 Nonnegativity and Solvability Conditions -- 4.8 Existence and Uniqueness Results -- 4.9 Semicoercivity and Solvability Conditions -- 4.10 Copositivity and Solvability Conditions -- 4.11 Diagonal Stability and Solvability Conditions -- 4.12 General Results in the Nonlinear Case -- 4.13 A General Framework in Electronics -- 4.14 Four-Diode Bridge Full-Wave Recti er -- 4.14.1 A Double-Diode Clipper -- 4.14.2 Clipping Circuit/Ideal Diode and Nonlinear Resistor -- 4.14.3 A Sampling Gate -- 4.15 A Recti er-Stabilizer Circuit -- 4.16 A Common Emitter Ampli er Circuit -- 4.17 Operational Ampli er -- 5 The Nonregular Dynamical System -- 5.1 Kalman-Yakubovich-Popov Lemma -- 5.1.1 A Nonregular Circuit -- 5.2 Existence and Uniqueness Theorem -- 5.3 Lyapunov Stability of a Stationary Solution -- 5.3.1 A Nonregular Circuit (Continuation) -- 5.4 Invariance Theory -- 5.5 A Nonregular Circuit with Ideal Diodes -- Bibliography -- Index -- Back Cover.
Weitere Ausg.:
ISBN 0-12-813389-9
Sprache:
Englisch
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