Augmented nodal matrices and normal trees

DOI10.1016/j.dam.2009.08.008zbMath1226.05242OpenAlexW2056037543MaRDI QIDQ968112

Alfonso J. Encinas, Ricardo Riaza

Publication date: 5 May 2010

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2009.08.008

zbMATH Keywords

differential-algebraic equationindexnodal analysiselectrical circuitweighted digraphproper treenormal tree

Mathematics Subject Classification ID

Trees (05C05) Applications of graph theory (05C90) Implicit ordinary differential equations, differential-algebraic equations (34A09) Analytic circuit theory (94C05) Directed graphs (digraphs), tournaments (05C20)

Related Items

Dynamical properties of electrical circuits with fully nonlinear memristors, EXPLICIT ODE REDUCTION OF MEMRISTIVE SYSTEMS, DAEs in Circuit Modelling: A Survey, Cyclic matrices of weighted digraphs, Mathematical Modeling and Analysis of Nonlinear Time-Invariant RLC Circuits

Uses Software

• RODAS

Cites Work

• Geometric properties of nonlinear networks containing capacitor-only cutsets and/or inductor-only loops. II: Symmetries
• Graph theory applications
• CAD-based electric-circuit modeling in industry. I: Mathematical structure and index of network equations
• CAD-based electric-circuit modeling in industry. II: Impact of circuit configurations and parameters
• A new method for establishing state equations: The branch replacement and augmented node-voltage equation approach
• Differential algebraic systems anew
• Topological index calculation of differential-algebraic equations in circuit simulation
• Geometric properties of nonlinear networks containing capacitor-only cutsets and/or inductor-only loops. I: Conservation laws
• Derivative-explicit differential equations for RLC graphs
• Monotone networks
• Time-domain properties of reactive dual circuits
• Qualitative features of matrix pencils and DAEs arising in circuit dynamics
• Matrix Analysis
• On the implications of capacitor-only cutsets and inductor-only loops in nonlinear networks
• The colored branch theorem and its applications in circuit theory
• How to identify unstable DC operating points
• Graph-theoretic properties of dynamic nonlinear networks
• Structural analysis of electric circuits and consequences for MNA
• A method for identification of asymptotically stable equilibrium points of a certain class of dynamic circuits
• Non-linear circuit modelling via nodal methods
• A textbook of graph theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item