In the present study, the finite-time asynchronous dissipative filter design problem for the Markov jump systems with conic-type nonlinearity is studied. The hidden Markov model can describe the asynchronism embodied in the system modes and the filter modes reasonably. Moreover, a suitable Lyapunov-Krasovskii function is utilized and linear matrix inequalities are applied to obtain adequate conditions. These techniques guarantee the finite-time boundedness and strict dissipativity of the filtering error dynamic system. Furthermore, the design problems of the passive filter and the H_∞ filter are studied by adjusting the three parameters \({\cal U}\), \({\cal G}\) and \({\cal V}\). Finally, the filter gains and the optimal index α* are obtained and the correctness and feasibility of the designed approach are verified by a simulation example.

在本研究中，研究了圆锥型非线性马尔可夫跳跃系统的有限时间异步耗散滤波器设计问题。隐马尔可夫模型可以合理地描述系统模式和滤波模式中体现的异步性。此外，利用合适的李雅普诺夫-克拉索夫斯基函数，并应用线性矩阵不等式以获得适当的条件。这些技术保证了滤波误差动态系统的有限时间有界性和严格的耗散性。此外，无源滤波器和所述的设计问题ħ _∞滤波器通过调节三个参数研究\（{\ CAL U】\） ，\（{\ CAL绿} \）和\（{\ CAL V} \）。最后，获得了滤波器增益和最佳指标α*，并通过仿真实例验证了所设计方法的正确性和可行性。