Lyapunov stability tests for linear time-delay systems
Sabine Mondi\'e, Alexey Egorov, Marco A. Gomez
TL;DR
This paper reviews Lyapunov-based stability conditions for linear systems with multiple time delays, detailing main results and proofs, and discusses current research and future directions in the field.
Contribution
It provides a comprehensive overview of Lyapunov stability tests specifically for linear time-delay systems, including detailed proofs for systems with multiple delays.
Findings
Lyapunov stability conditions are established for systems with multiple delays.
The paper presents detailed proofs of key stability results.
Discussion of ongoing research and potential extensions to other delay systems.
Abstract
An overview of stability conditions in terms of the Lyapunov matrix for time-delay systems is presented. The main results and proof 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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Taxonomy
TopicsStability and Control of Uncertain Systems · Neural Networks Stability and Synchronization · Chaos control and synchronization