collaborators

4 papers

math.DS2026

Equilibria in Motion: Stability, Tracking, and Convergence

Hassan Saoud

We study the stability, tracking, and convergence of nonautonomous systems with moving nonisolated equilibrium sets. We develop a Lyapunov framework based on coupled dissipation ch…

math.OC2026

Geometric Stability Analysis for Differential Inclusions Governed by Maximally Monotone Operators

Hassan Saoud, Michel Théra, Minh N. Dao

This paper develops a geometric framework for the stability analysis of differential inclusions governed by maximally monotone operators. A key structural decomposition expresses t…

math.OC2026

Convergence and Stability of a Catching-Up Algorithm for Differential Inclusions with Maximal Monotone Operators

Tan H. Cao, Hassan Saoud

We study a catching-up algorithm for a class of differential inclusions driven by maximal monotone operators with continuous perturbations. Using a decomposition of the monotone op…

math.OC2025

Composite Lyapunov Criteria for Stability and Convergence with Applications to Optimization Dynamics

Hassan Saoud

We propose a composite Lyapunov framework for nonlinear autonomous systems that ensures strict decay through a pair of differential inequalities. The approach yields integral estim…