3 papers
math.DS2026
Simple Verification and Implementation of Observer Error Dynamics Linearization: A Pascal's Triangle--Hessian Matrix Criterion
Xu Haotian, Xinquan Shao, Liu Shuai
The classical theory of nonlinear observer error linearization---the nonlinear observer canonical form---has attracted sustained attention since its inception in the 1980s. Under t…
math.DS2026
A Network Transformation Mapping Approach to Synchronization of Multi-Agent Systems With Disconnected Switching Topologies
Haotian Xu, Bohui Wang, Shuai Liu +3
This paper focuses on the multi-agent synchronization problem with an open-loop unstable leader and followers under the switching topologies. For this issue, the typical approach i…
math.DS2025
Distributed Observer for Descriptor Linear System: The Luenberger Observer Method
Shuai Liu, Haotian Xu
This paper concerns the distributed observer for the descriptor linear system. Unlike centralized descriptor system observers, in the case of distributed observers, each agent eith…