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math.OC2026
Automated Synthesis of Lyapunov Functions for Multi-Agent Systems under Jointly Connected Topology
Shuyuan Zhang, Lei Wang, Qing-Guo Wang
This article investigates the consensus tracking problem of multi-agent systems under jointly connected topology through automated synthesis of Lyapunov functions. Based on the pro…
math.OC2026
On Tikhonov Regularization for Direct and Indirect Data-Driven LQR Control
Shuyuan Zhang, Zheming Wang, Raphael M. Jungers
In recent years, the so-called `direct data-driven control' has been a topic of intense research, and it is expected that it will become prominent in future complex dynamical syste…
math.OC2025
Region of Synchronization Estimation for Complex Networks via SOS Programming
Shuyuan Zhang, Raphaël M. Jungers, Lei Wang
In this article, we explore the problem of the region of synchronization (ROS) for complex networks with nonlinear dynamics. Given a pair of state- and target- sets, our goal is to…