This article presents a stability analysis of fractional-order tumor system that correlates tumor-immune with chemotherapy under Lyapunov's theory. More particularly, a finite-time stabilization of prescribed system with the consequence of quantized input and actuator fault is investigated. Further, the nonlinear tumor system is converted to Takagi-Sugeno(T-S) fuzzy model. Then based on the utilization of Gronwall's inequality, the necessary and sufficient conditions are derived with the assist of Lyapunov's candidates. To overcome the effect of external disturbances such as unwanted smoke, intake habits and tower radiations, the optimal level of performance which is reduced from the generalized performance extended dissipative is included. Finally, a numerical simulation is presented with graphical results to expound the superiority and validity of the prescribed controller.

本文介绍了 Lyapunov 理论下肿瘤免疫与化疗相关的分数阶肿瘤系统的稳定性分析。更具体地说，研究了由量化输入和执行器故障导致的规定系统的有限时间稳定性。此外，将非线性肿瘤系统转换为Takagi-Sugeno(TS)模糊模型。然后在利用Gronwall不等式的基础上，在Lyapunov候补的帮助下推导出了充要条件。为了克服诸如有害烟雾、进气习惯和塔辐射等外部干扰的影响，包括从广义性能扩展耗散降低的最佳性能水平。最后，