The problem of finite/fixed-time cooperative state estimation is considered for a class of quasilinear systems with nonlinearities satisfying a H\"older condition. A strongly connected nonlinear distributed observer is designed under the assumption of global observability. By proper parameter tuning with linear matrix inequalities, the observer error equation possesses finite/fixed-time stability in the perturbation-free case and input-to-state stability with respect to bounded perturbations. Numerical simulations are performed to validate this design.

翻译：本文研究了一类非线性项满足赫尔德条件的拟线性系统的有限时间/固定时间协同状态估计问题。在全局可观测性假设下，设计了一种强连通的非线性分布式观测器。通过基于线性矩阵不等式的参数调节，该观测器误差方程在无扰动情况下具有有限时间/固定时间稳定性，对于有界扰动则具有输入到状态稳定性。数值仿真验证了该设计的有效性。