Solutions of singular constrained differential equations: A generalization of circuits containing capacitor-only loops and inductor-only cutsets

DOI10.1109/TCS.1984.1085466zbMath0561.58045OpenAlexW1967876138MaRDI QIDQ5186451

P. R. Bryant, B. C. Haggman

Publication date: 1984

Published in: IEEE Transactions on Circuits and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tcs.1984.1085466

zbMATH Keywords

differentiable manifoldselectric circuitsconstrained differential equationssingular constrained differential equations

Mathematics Subject Classification ID

Circuits, networks (94C99) Applications of PDEs on manifolds (58J90) Partial differential equations on manifolds; differential operators (58J99)

Related Items (9)

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 ⋮ Geometric Methods in Dynamical Systems Modelling: Electrical, Mechanical and Control Systems ⋮ Structural analysis of electric circuits and consequences for MNA ⋮ DAEs in Circuit Modelling: A Survey ⋮ ON SOME ASPECTS OF THE GEOMETRY OF DIFFERENTIAL EQUATIONS IN PHYSICS ⋮ Saddle-Node Bifurcations in Classical and Memristive Circuits ⋮ Geometric properties of nonlinear networks containing capacitor-only cutsets and/or inductor-only loops. I: Conservation laws ⋮ On an existence and uniqueness theory for nonlinear differential- algebraic equations

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