4 papers
A geometric approach for stability analysis of delay systems: Applications to network dynamics
Shijie Zhou, Yang Luan, Xuzhe Qian +1
Investigating the network stability or synchronization dynamics of multi-agent systems with time delays is of significant importance in numerous real-world applications. Such inves…
Invariance principles for G-brownian-motion-driven stochastic differential equations and their applications to G-stochastic control
Xiaoxiao Peng, Shijie Zhou, Wei Lin +1
The G-Brownian-motion-driven stochastic differential equations (G-SDEs) as well as the G-expectation, which were seminally proposed by Peng and his colleagues, have been extensivel…
The Dichotomy Property in Stabilizability of Linear Hyperbolic Systems
Xu Huang, Zhiqiang Wang, Shijie Zhou
This paper is devoted to discuss the stabilizability of a class of non-homogeneous hyperbolic systems. Motivated by the example in \cite[Page 197]{CB2016}, we analyze…
Finite-time stochastic control for complex dynamical systems: The estimate for control time and energy consumption
Xiaoxiao Peng, Shijie Zhou
Controlling complex dynamical systems has been a topic of considerable interest in academic circles in recent decades. While existing works have primarily focused on closed-loop co…