The stability and stabilization of the equilibrium of a kind of weakly coupled chains of biological oscillators was considered. The system with high order self feedback is a nonlinear singularly perturbed system with fast and slow modes. 考察了一类弱交联生物振荡器链系统平衡点的镇定性问题,该系统是带有快、慢变状态变量和高次自反馈的非线性奇异摄动系统。
Aiming at the defects of some state variables in biological systems is difficult to detect or impossible to be measured in real time, a nonlinear observer-based output feedback controller is designed, which can guarantee the asymptotical stabilization of the nonlinear system under the designed controller. 针对生物系统中的某些状态变量难以检测或不能实时可测的缺陷,提出了一种基于观测器的非线性输出反馈控制方法,并证明该控制器可以使非线性系统渐近稳定。