Adjoint methods of sensitivity analysis for Lyapunov equation
作者： Kun Yan , Gengdong Cheng , Bo Ping Wang
DOI: 10.1007/S00158-015-1323-Z
关键词:
摘要: The existing direct sensitivity analysis of optimal structural vibration control based on Lyapunov's second method is computationally expensive when applied to finite element models with a large number degree-of-freedom and design variables. A new adjoint proposed in this paper. Using the performance index, time integral quadratic function state variables, respect all variables calculated by solving two Lyapunov matrix equations. In consideration computational cost reduction, further extended reduced order model Guyan method. This makes applicable models. Two numerical examples demonstrate accuracy efficiency
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