Synthesis of lossless electric circuits based on prescribed Jordan forms
Abstract
We advance here an algorithm of the synthesis of lossless electric circuits such that their evolution matrices have the prescribed Jordan canonical forms subject to natural constraints. Every synthesized circuit consists of a chain-like sequence of LC-loops coupled by gyrators. All involved capacitances, inductances, and gyrator resistances are either positive or negative with values determined by explicit formulas. A circuit must have at least one negative capacitance or inductance for having a nontrivial Jordan block for the relevant matrix.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Dec 01, 2020
- Source ID
- 10.1063/5.0020422
Entities
People
- Alexander Figotin
Organizations
- Air Force Office of Scientific Research
- Northrop Grumman
- University of California, Irvine