DAEs in Circuit Modelling: A Survey

DOI10.1007/978-3-642-34928-7_3zbMath1322.94123OpenAlexW73165101MaRDI QIDQ4928962

Ricardo Riaza

Publication date: 19 June 2013

Published in: Surveys in Differential-Algebraic Equations I (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-34928-7_3

zbMATH Keywords

bifurcationequilibriumdifferential-algebraic equationindexmemristormemcapacitormeminductornodal analysiselectrical circuitelectronic circuitstate equationsemistate modelloop analysishybrid analysis

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Analytic circuit theory (94C05) Applications of graph theory to circuits and networks (94C15)

Related Items (9)

Observer design for rectangular descriptor systems with incremental quadratic constraints and nonlinear outputs—Application to secure communications ⋮ Normal forms and internal regularization of nonlinear differential‐algebraic control systems ⋮ Port-Hamiltonian formulation of nonlinear electrical circuits ⋮ Nonsmooth Hessenberg differential-algebraic equations ⋮ Boundary-Value Problems for Differential-Algebraic Equations: A Survey ⋮ An extended-observer approach to robust stabilisation of linear differential-algebraic systems ⋮ Geometric analysis of nonlinear differential-algebraic equations via nonlinear control theory ⋮ Mathematical Modeling and Analysis of Nonlinear Time-Invariant RLC Circuits ⋮ PDAEs in Refined Electrical Network Modeling

Uses Software

• PABTEC
• RODAS

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