Monotone sensitivity of nonlinear uniform RC transmission lines, with application to timing analysis of digital MOS integrated circuits
- 1 January 1985
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems
- Vol. 32 (1) , 28-33
- https://doi.org/10.1109/tcs.1985.1085597
Abstract
Summary:A system of one-dimensional linear parabolic equations coupled by boundary conditions which include additional state variables, is considered. This system describes an electric circuit with distributed parameter lines and lumped capacitors all connected through a resistive multiport. By using the monotony in a space of the form $L^2(0,T;H^1)$, one proves the existence and uniqueness of a variational solution, if reasonable engineering hypotheses are fulfilled
Keywords
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