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Electrical Engineering and Systems Science > Systems and Control

arXiv:2108.05854 (eess)
[Submitted on 12 Aug 2021]

Title:Necessary and sufficient stability conditions for integral delay systems

Authors:Reynaldo Ortiz, Alexey Egorov, Sabine Mondié
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Abstract:A Lyapunov-Krasovskii functional with prescribed derivative whose construction does not require the stability of the system is introduced. It leads to the presentation of stability/instability theorems. By evaluating the functional at initial conditions depending on the fundamental matrix we are able to present necessary and sufficient stability conditions expressed exclusively in terms of the delay Lyapunov matrix for integral delay systems. Some examples illustrate and validate the stability conditions.
Comments: This paper has been submitted to International Journal of Robust and Nonlinear Control
Subjects: Systems and Control (eess.SY); Dynamical Systems (math.DS)
Cite as: arXiv:2108.05854 [eess.SY]
  (or arXiv:2108.05854v1 [eess.SY] for this version)
  https://doi.org/10.48550/arXiv.2108.05854
Related DOI: https://doi.org/10.1002/rnc.5907

Submission history

From: Reynaldo Ortiz [view email]
[v1] Thu, 12 Aug 2021 17:01:40 UTC (419 KB)
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