{"ID":5937938,"CreatedAt":"2026-07-07T03:14:33.014478982Z","UpdatedAt":"2026-07-07T10:29:49.167883842Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2607.03808","arxiv_id":"2607.03808","title":"Dissipativity properties of a class of nonlinear time-delay systems via Bessel-Legendre inequalities","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.","short_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-indep...","url_abs":"https://arxiv.org/abs/2607.03808","url_pdf":"https://arxiv.org/pdf/2607.03808v1","authors":"[\"Ikram El Haskouki\",\"Hannes Gernandt\"]","published":"2026-07-04T10:29:52Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}