Journal
ANNUAL REVIEWS IN CONTROL
Volume 54, Issue -, Pages 68-80Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.arcontrol.2022.09.001
Keywords
Delay system; Stability criterion; Lyapunov matrix; Complete type functional
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Funding
- Conacyt [A1-S-24796]
- Russian Science Foundation [21-71-00052]
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The paper provides an overview of stability conditions for time-delay systems using the Lyapunov matrix. It presents detailed results and proofs for systems with multiple delays. The state of the art, ongoing research, and potential extensions to other classes of delay systems are discussed.
An overview of stability conditions in terms of the Lyapunov matrix for time-delay systems is presented. The main results and proofs are presented in details for the case of systems with multiple delays. The state of the art, ongoing research and potential extensions to other classes of delay systems are discussed.
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