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math.OC2026
Invariance Entropy in the Dust
Senhan Yao
We answer negatively two natural general forms of Kawan's questions on invariance entropy for control systems, open for more than fifteen years, by a single construction. We show t…
math.OC2026
A Less Conservative Sufficient Condition for PID Stabilization of Scalar Second-Order Nonlinear Uncertain Systems
Senhan Yao
This letter studies robust set-point regulation of scalar second-order nonlinear uncertain systems using a classical PID controller with constant gains. The scalar second-order mod…
math.OC2025
On the Fundamental Limit of the Stochastic Gradient Identification Algorithm Under Non-Persistent Excitation
Senhan Yao, Longxu Zhang
Stochastic gradient (SG) methods are fundamental to system identification and machine learning, enabling online parameter estimation in large-scale and streaming-data settings. As…