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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…