arXiv subjects

Ikram El Haskouki

Publications and source records attributed to Ikram El Haskouki.

2 recordsLinked to original sources

arXiv2026

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

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.

math.OC↗

arXiv2026

Delay-dependent passivity and stability of linear port-Hamiltonian systems

We study delay-dependent and independent passivity properties of linear port-Hamiltonian systems with delay terms. We derive passivity conditions using a particular storage function and Wirtinger-based inequalities. Furthermore, we recall several conditions for delay-dependent and independent exponential stability. Finally, we present an application of our passivity and stability results to delay equations arising in the modeling of district heating networks and oscillators with delayed damping and stiffness.

math.OC↗