Sign-In
Cart
Nonsmooth Modeling and Simulation for Switched Circuits
Hardcover
Series: Lecture Notes in Electrical Engineering, Book 69
Technology & EngineeringGeneral ComputersGeneral Mathematics
ISBN13: 9789048196807
Publisher: Springer Nature
Published: Oct 24 2010
Pages: 284
Weight: 1.35
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
Part I Theoretical Framework
1 Switched Circuits. 1.1 Simple examples of switched circuits. 1.2 A unified dynamical framework: Lur'e dynamical systems. 1.3 An aside on nonsmooth mechanics: the bouncing ball. 1.4 Conclusions. 1.5 Historical summary.
2 Mathematical Background. 2.1 Basics from convex and nonsmooth analysis. 2.2 Non convex sets. 2.3 Basics from complementarity theory. 2.4 Mathematical formalisms. 2.5 The dynamics of the simple circuits. 2.6 Time-discretization schemes. 2.7 Conclusions and recapitulation.
Part II Dynamics Generation and Numerical Algorithms.
3 Conventional Circuit Equation Formulation and Simulation. 3.1 Circuit topology and Kirchhoff's laws. 3.2 The Sparse Tableau Analysis (STA). 3.3 The Modified Nodal Analysis. 3.4 The charge/flux oriented MNA. 3.5 Standard Differential Algebraic Equation (DAE)s stemming from the MNA. 3.6 Semi-explicit Differential Algebraic Equation (DAE) forms. 3.7 Basics on standard circuit simulation.
4 Nonsmooth Modeling of Electrical Components. 4.1 General nonsmooth electrical element. 4.2 Nonsmooth elements as inclusions into the subdifferential of convex functions and Variational Inequality (VI). 4.3 Nonsmooth elements as inclusions into normal cones and variational inequalities. 4.4 Complementarity problems. 4.5 The linear Input/Output relation case. 4.6 Generic piecewise-linear components. 4.7 Special instances of nonsmooth components.
5 Time-stepping Schemes and One Step Solvers. 5.1 Summary of the mathematical formalisms. 5.2 Principles of the numerical time-integration scheme. 5.3 Time-discretization of the general cases. 5.4 One-step NonSmooth Problems (OSNSP) solvers.
Part III Numerical Simulations.
6 The ACEF module and the software. 6.1 An Insight into SICONOS. 6.2 SICONOS software. 6.3 The Automatic Circuit Equations Formulation (ACEF) module and algorithms.
7 Simple Circuits. 7.1 Maffezzoni's example. 7.2 A first diode-bridge wave rectifier. 7.3 A second diode-bridge wave rectifier. 7.4 The Cuk converter. 7.5 A circuit exhibiting sliding modes.
8 Buck and Delta-Sigma Converters. 8.1 The buck converter with load resistor. 8.2 The buck converter loaded by a resistor and an inverter chain. 8.3 The Delta-Sigma converter. 8.4 Conclusions.
A Some Facts in Real Analysis. A.1 Absolutely continuous functions and sets. A.2 Lipschitz continuous functions and sets. A.3 Functions of bounded variations in time. A.4 Multifunctions of bounded variation in time. A.5 Differential measures. A.6 Measure Differential Inclusion (MDI).
References. Index.
Also in
General Mathematics
The Golden Number: Pythagorean Rites and Rhythms in the Development of Western Civilization
Ghyka, Matila C.
Hardcover
How It All Works: All Scientific Laws and Phenomena Illustrated & Demonstrated
Clegg, Brian
Dant, Adam
Hardcover
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Paperback
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Feynman, Richard P.
Leighton, Robert B.
Sands, Matthew
Paperback
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Hardcover
Math Practice Workbook Grades 6-8: 1000+ Questions You Need to Kill in Middle School by Brain Hunter Prep
Brain Hunter Prep
Paperback
Who Gets What -- And Why: The New Economics of Matchmaking and Market Design
Roth, Alvin E.
Paperback
The Art of Strategy: A Game Theorist's Guide to Success in Business and Life
Nalebuff, Barry J.
Dixit, Avinash K.
Paperback
Tomoko Fuse's Amazing Kusudama Origami: Geometric Paper Art from Japan's Leading Expert!
Fuse, Tomoko
Paperback
Mastering Essential Math Skills Book 2, Bilingual Edition - English/Spanish
Fisher, Richard W.
Paperback
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Hardcover
The Great Math War: How Three Brilliant Minds Fought for the Foundations of Mathematics
Bardi, Jason Socrates
Hardcover
Math Games with Bad Drawings: 75 1/4 Simple, Challenging, Go-Anywhere Games--And Why They Matter
Orlin, Ben
Hardcover
Counting with - Contando Con Frida (Bilingual: English/Spanish): A Bilingual Counting Book
Rodriguez, Patty
Stein, Ariana
Hardcover
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Paperback
Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology
Lundy, Miranda
Ashton, Anthony
Sutton, Daud
Hardcover
Graph Paper Composition Notebook: Quad Ruled 5x5, Grid Paper for Students in Math and Science
Wizo, Math
Paperback
50 Math Tricks That Will Change Your Life: Mentally Solve the Impossible in Seconds
Zakowich, Tanya
Paperback
Vector: A Surprising Story of Space, Time, and Mathematical Transformation
Arianrhod, Robyn
Hardcover
New York Post Fiendish Sudoku: The Official Utterly Addictive Number-Placing Puzzle
Gould, Wayne
Paperback
Touchthinklearn: Numbers: (Board Books for Baby Learners, Touch Feel Books for Children)
Deneux, Xavier
Hardcover
Quantum Mechanics Done Right: The Shortest Path from Novice to Researcher
Freericks, James K.
Hardcover
A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)
Oakley, Barbara
Paperback
ALEKS Math Placement Test Prep 2026: 1200 Verified Practice Questions with Accurate Answer Keys, Step-by-Step Worked Solutions, and Clear Concept Expl
Reid, Marcus L.
Publishing, Kettford
Paperback
Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks
Benjamin, Arthur
Shermer, Michael
Paperback
Un Elefante: Numbers / Números (Bilingual: English/Spanish): A Bilingual Counting Book
Stein, Ariana
Rodriguez, Patty
Hardcover
Sudoku for Brain Fitness: 90-Day Challenge to Sharpen the Mind and Strengthen Cognitive Skills
Demyanovich, Julie
Clontz, Steven
Paperback
Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning
Liljedahl, Peter
Paperback
WorkKeys Study Guide and Practice Test Questions: ACT WorkKeys Exam Prep and Review Book with Applied Mathematics, Locating Information, and Reading f
Trivium Exam Prep Team
Paperback
Talentos Ocultos: La Genialidad No Tiene Color. La Fuerza No Tiene Género. El Valor No Tiene Límite.
Shetterly, Margot Lee
Paperback
Concrete Mathematics: A Foundation for Computer Science
Knuth, Donald
Graham, Ronald
Patashnik, Oren
Hardcover
180 Days(r) Math for First Grade: Practice, Assess, Diagnose
Smith, Jodene
Smith, Jodene Lynn
Paperback
Number Systems and the Foundations of Analysis
Mathematics
Mendelson, Elliott
Dudley, Underwood
Paperback
Medical Dosage Calculations for Dummies
Snyder, Richard W.
Depuente, Vanessa
Schoenborn, Barry
Paperback
The Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science
Schneider, Michael S.
Paperback
300 Math CrossWords: Addition, Subtraction, Multiplication, and Division Math CrossWords Grade 3 and Above, Age +8
Martin, Josh Ortiz
Paperback
Reaching for the Extreme: How the Quest for the Biggest, Fewest, and Weirdest Makes Math
Stewart, Ian
Hardcover
Math Fundamentals 3 - Geometry: For Middle School - A Quickstudy Laminated Reference Guide
Expolog
Warren, Peggy
Wright, Susan
Other
Sciencia: Mathematics, Physics, Chemistry, Biology, and Astronomy for All
Watkins, Matthew
Betts, Moff
Tweed, Matt
Hardcover
30 More Math Mysteries Kids Can't Resist!: Quick & Clever Mysteries That Boost Problem-Solving Skills
Lee, Martin
Paperback
Machine Learning with PyTorch and Scikit-Learn: Develop machine learning and deep learning models with Python
Mirjalili, Vahid
Raschka, Sebastian
Liu, Yuxi (Hayden)
Paperback
It's All a Game: The History of Board Games from Monopoly to Settlers of Catan
Donovan, Tristan
Paperback