Factorization of multipliers in passivity and IQC analysis
Factorization of multipliers in passivity and IQC analysis
复制标题
DOI：
10.1016/j.automatica.2012.02.035
复制
发表时间：
2011-12
期刊：
影响因子：
--
通讯作者：
J. Carrasco;W. Heath;A. Lanzon
中科院分区：
文献类型：
--
作者：
J. Carrasco;W. Heath;A. Lanzon
乘数通常用于寻找 Lur’e 系统绝对稳定的条件。它们可以与无源理论结合使用，也可以在更新的积分二次约束 (IQC) 框架内使用。我们比较了两种方法中乘法器的使用。无源理论要求乘法器具有规范因式分解，文献中表明这代表了 IQC 理论的优势。我们考虑非线性类上相关乘法器进行规范分解的充分条件。
Multipliers are often used to find conditions for the absolute stability of Lur’e systems. They can be used either in conjunction with passivity theory or within the more recent framework of integral quadratic constraints (IQCs). We compare the use of multipliers in both approaches. Passivity theory requires that the multipliers have a canonical factorization and it has been suggested in the literature that this represents an advantage of the IQC theory. We consider sufficient conditions on the nonlinearity class for the associated multipliers to have a canonical factorization.