arxiveess.SY2026-07-02
Robust Stabilization of Linear Markov-Jumping Hyperbolic PDEs with Boundary Input Delay
Yihuai Zhang, Yidan Cao, Huan Yu, Lu Liu
This paper studies the robust stabilization of 2 $\times$ 2 linear hyperbolic partial differential equations (PDEs) with Markov-jumping parameters and boundary input delay. The main challenge arises from the simultaneous presence of stochastic parameter variations and input delay…