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

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…

math.OC2025

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…