单调界非线性项的乘子
Multipliers for nonlinearities with monotone bounds
摘要：
我们考虑Lurye（有时写Lur 'e）系统的非线性算子的特点是由一个可能的多值非线性，有界上下的单调函数。稳定性可以使用Zames-Falb乘数的子类来建立。结果概括了文献中的类似方法。使用凸搜索可以找到适当的乘数。因为乘法器可用于多值非线性，所以它们可在循环变换后应用。我们说明了两个例子，一个在连续时间和一个在离散时间的新mutlilipliers的电源：在第一个方法被证明优于现有的稳定性测试在文献中，在第二个，我们专注于特殊情况下的非对称饱和与非零稳态外源信号的系统的重要后果。
英文摘要：
We consider Lurye (sometimes written Lur'e) systems whose nonlinear operator is characterised by a possibly multivalued nonlinearity that is bounded above and below by monotone functions. Stability can be established using a sub-class of the Zames-Falb multipliers. The result generalises similar approaches in the literature. Appropriate multipliers can be found using convex searches. Because the multipliers can be used for multivalued nonlinearities they can be applied after loop transformation. We illustrate the power of the new mutlipliers with two examples, one in continuous time and one in discrete time: in the first the approach is shown to outperform available stability tests in the literature; in the second we focus on the special case for asymmetric saturation with important consequences for systems with non-zero steady state exogenous signals.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
