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.
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 language | English |
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Title of host publication | ICAC 2023 - 28th International Conference on Automation and Computing |
Publisher | IEEE |
Number of pages | 7 |
ISBN (Electronic) | 979-8-3503-3585-9 |
ISBN (Print) | 979-8-3503-3586-6 |
DOIs | |
Publication status | Published - 16 Oct 2023 |
Event | 28th International Conference on Automation and Computing - Birmingham, United Kingdom Duration: 30 Aug 2023 → 1 Sept 2023 https://cacsuk.co.uk/icac/ |
Publication series
Name | ICAC 2023 - 28th International Conference on Automation and Computing |
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Conference
Conference | 28th International Conference on Automation and Computing |
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Abbreviated title | ICAC2023 |
Country/Territory | United Kingdom |
City | Birmingham |
Period | 30/08/23 → 1/09/23 |
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