Geometric properties of nonlinear networks containing capacitor-only cutsets and/or inductor-only loops. I: Conservation laws

DOI10.1007/BF01600065zbMath0615.94013OpenAlexW2032209382MaRDI QIDQ1821087

B. C. Haggman, P. R. Bryant

Publication date: 1986

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01600065

zbMATH Keywords

equilibrium pointsconservation lawsdifferentiable manifoldsnetwork dynamicsstate spaceinvariant submanifoldcapacitor-only cutsetsinductor-only loopscoordinate-freeNonlinear networks

Mathematics Subject Classification ID

Applications of dynamical systems (37N99) Applications of graph theory to circuits and networks (94C15)

Related Items

Qualitative features of matrix pencils and DAEs arising in circuit dynamics ⋮ Geometric properties of nonlinear networks containing capacitor-only cutsets and/or inductor-only loops. II: Symmetries ⋮ Dynamical properties of electrical circuits with fully nonlinear memristors ⋮ GRAPH-THEORETIC CHARACTERIZATION OF BIFURCATION PHENOMENA IN ELECTRICAL CIRCUIT DYNAMICS ⋮ Augmented nodal matrices and normal trees ⋮ DAEs in Circuit Modelling: A Survey ⋮ The hyperbolicity problem in electrical circuit theory ⋮ Saddle-Node Bifurcations in Classical and Memristive Circuits

Cites Work

• Geometric properties of nonlinear networks containing capacitor-only cutsets and/or inductor-only loops. II: Symmetries
• On the mathematical foundations of electrical circuit theory
• On the implications of capacitor-only cutsets and inductor-only loops in nonlinear networks
• Geometric properties of resistive nonlinear n-ports: Transversality, structural stability, reciprocity, and anti-reciprocity
• Geometric Properties of Dynamic Nonlinear Networks: Transversality, Local-Solvability and eventual Passivity
• Jump behavior of circuits and systems
• Observability and Controllability for Smooth Nonlinear Systems
• Controlled invariance for nonlinear systems
• Eventually passive nonlinear networks
• On the Abstract Properties of Linear Dependence
• Solutions of singular constrained differential equations: A generalization of circuits containing capacitor-only loops and inductor-only cutsets
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