A class of homogeneous systems with sector nonlinearities is considered in the paper. Sufficient conditions of finite-time (input-to-state) stability are established with the use of new constructive modification of the Implicit Lyapunov Function approach. The proposed conditions are given in the form of linear matrix inequalities. The theoretical results are supported with numerical examples.

中文翻译：

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具有扇形非线性的齐次系统的有限时间稳定性分析


本文考虑了一类具有扇形非线性的齐次系统。通过使用隐式李雅普诺夫函数方法的新构造性修改，建立了有限时间（输入到状态）稳定性的充分条件。所提出的条件以线性矩阵不等式的形式给出。理论结果得到数值例子的支持。