2 citations · 2 across the 4 of their papers we have counts for
6 papers
Explicit Criteria for Finite-Time Identification in Sparse Primal--Dual Dynamics
Hassan Saoud
We study when selected coordinates become and remain zero in a finite-dimensional sparse-regression primal--dual flow and its exact full resolvent iteration. Invariant balls center…
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…
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…
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…
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…
Locating Theorems of Differential Inclusions Governed by Maximally Monotone Operators
Minh N. Dao, Hassan Saoud, Michel Théra
In this paper, we are interested in studying the asymptotic behavior of the solutions of differential inclusions governed by maximally monotone operators. In the case where the LaS…