Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2607.03808

Authors: Haskouki, Ikram El, Gernandt, Hannes

Institutions: Fraunhofer Research Institution for Energy Infrastructures and Geotechnologies IEG, University of Hassan II Casablanca, University of Wuppertal

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Bergische Universität Wuppertal, Deutsche Forschungsgemeinschaft

Awards: G2732414743, G5737821012

OpenAlex ID: W7167623344

Cites:

Cited by:

Related to: 10