Conference Paper

Time-domain descriptor models for circuits with multiconductor transmission lines and lumped elements

Karazin Kharkiv Nat. Univ., Kharkiv, Ukraine
DOI: 10.1109/UWBUSIS.2010.5609106 Conference: Ultrawideband and Ultrashort Impulse Signals (UWBUSIS), 2010 5th International Conference on
Source: IEEE Xplore

ABSTRACT We suggest a method to investigate impulse circuits with multiconductor transmission lines in time domain. The transmission lines are connected by a multi-port with linear and nonlinear lumped LCR-elements. In the general case, transient states in these circuits are described by degenerate or descriptor delay nonlinear integro-differential equations. We develop theory of such equations and numerical methods to find solutions.

  • [Show abstract] [Hide abstract]
    ABSTRACT: We establish conditions for the existence and uniqueness of the solutions of nonlinear functional-differential equations with impulsive action in a Banach space. The equation under consideration is not solved for the derivative. It is assumed that the characteristic operator pencil corresponding to the linear part of the equation satisfies a constraint of parabolic type in the right half-plane. Applications to partial functional-differential equations not of Kovalevskaya type are considered.
    Mathematical Notes 01/2014; 95(1-2). DOI:10.1134/S0001434614010040 · 0.26 Impact Factor