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PreprintCC BY 4.0arXiv

Dissipativity properties of a class of nonlinear time-delay systems via Bessel-Legendre inequalities

  • Ikram El Haskouki
  • Hannes Gernandt
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Abstract

Time delays are inherent in many physical and engineered systems and can significantly affect their stability and performance. In this work, we investigate the dissipativity of a class of nonlinear time-delay systems with multiple discrete delays and derive sufficient conditions for both delay-dependent and delay-independent dissipativity using Bessel-Legendre inequalities. For linear systems, the resulting dissipativity conditions are expressed in terms of linear matrix inequalities (LMIs) which can be solved numerically to obtain Lyapunov-Krasovskii-type storage functions.

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Cite

BibTeXRIS
BibTeX
@misc{haskouki2026dissipativity,
  title = {{Dissipativity properties of a class of nonlinear time-delay systems via Bessel-Legendre inequalities}},
  author = {Ikram El Haskouki and Hannes Gernandt},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.03808},
  eprint = {2607.03808},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.03808},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Dissipativity properties of a class of nonlinear time-delay systems via Bessel-Legendre inequalities
AU  - Ikram El Haskouki
AU  - Hannes Gernandt
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2607.03808
UR  - https://arxiv.org/abs/2607.03808
AB  - Time delays are inherent in many physical and engineered systems and can significantly affect their stability and performance. In this work, we investigate the dissipativity of a class of nonlinear time-delay systems with multiple discrete delays and derive sufficient conditions for both delay-dependent and delay-independent dissipativity using Bessel-Legendre inequalities. For linear systems, the resulting dissipativity conditions are expressed in terms of linear matrix inequalities (LMIs) which can be solved numerically to obtain Lyapunov-Krasovskii-type storage functions.
ER  -