一类非线性反馈系统的稳定性分析

利用新近发展起来的积分二次约束(IQC)方法，研究了一类较为普遍的非线性反馈连接的 L₂-稳定性问题，给出了其稳性分析准则和一些必要条件，这些结果适用于时不变与时变系统。其次，利用已有的结果，研究了非线性环节具有扇区特性的稳定性问题。在单输入单输出(SISO)的情况下，给出了时变系统的圆判据。而在多输入多输出MIMO的情况下，也给出了一个稳定性判据，该结果不要求其非线性环节具有解藕条件。

Stability Analysis for a Class of Nonlinear Feedback System

Using the integral quadratic constraints (IQC's) methods,the L 2 stability for a class of nonlinear feedback system is studied in this paper.Thus some sufficient and necessary conditions are given.These results are suitable for both time\|invariant and time\|varying systems.As an application,the general time\|varying Lur'e problem is studied too.Then the time\|varying circle criterion in the SISO case is given.At the same time,in the MIMO case,a stability criterion is given,which doesn't need the decoupling conditions.