Guaranteed Control for Coupled Lossless Transmission Lines Terminated by a Nonlinear Lumped Circuits

Iyai Davies, Olivier Haas, Chukwuemeka Paul Amadi, Royal C. Ateke, Seminiworima Akuro

Research output: Chapter in Book/Report/Conference proceedingConference proceedingpeer-review

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Abstract

New stability result is obtained for a multiple interconnected lossless transmission line system which are each terminated
by a lumped nonlinear circuit. The result was obtained by first deriving a neutral functional differential system with infinite delays (NFDSID) using the telegrapher’s equation to reduce the governing equation of the voltage and current changes from the mutually interconnected lossless transmission line system. A delay-dependent stability results sufficient to make the NFDSID uniformly asymptotically stable is then developed by using the Lyapunov Razumikhin’s method through a model transformation technique and Lyapunov matrix equation.
Original languageEnglish
Title of host publicationICAC 2023 - 28th International Conference on Automation and Computing
PublisherIEEE
Number of pages7
ISBN (Electronic)979-8-3503-3585-9
ISBN (Print)979-8-3503-3586-6
DOIs
Publication statusPublished - 16 Oct 2023
Event28th International Conference on Automation and Computing - Birmingham, United Kingdom
Duration: 30 Aug 20231 Sept 2023
https://cacsuk.co.uk/icac/

Publication series

NameICAC 2023 - 28th International Conference on Automation and Computing

Conference

Conference28th International Conference on Automation and Computing
Abbreviated titleICAC2023
Country/TerritoryUnited Kingdom
CityBirmingham
Period30/08/231/09/23
Internet address

Bibliographical note

Publisher Copyright:
© 2023 IEEE.

Keywords

  • Asymptotic stability
  • Functional differential systems
  • Lossless transmission lines
  • Lyapunov method

ASJC Scopus subject areas

  • Artificial Intelligence
  • Control and Optimization
  • Electrical and Electronic Engineering
  • Industrial and Manufacturing Engineering
  • Computer Science Applications
  • Automotive Engineering
  • Modelling and Simulation

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