A frequency averaging framework for the solution of complex dynamic systems | Zendy

Christophe Lecomte | Zendy

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A frequency averaging framework for the solution of complex dynamic systems

Author(s) -

Christophe Lecomte

Publication year - 2014

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2013.0743

Subject(s) - frequency domain , interpretation (philosophy) , method of averaging , computer science , algorithm , mathematics , control theory (sociology) , physics , nonlinear system , mathematical analysis , artificial intelligence , quantum mechanics , programming language , control (management)

A frequency averaging framework is proposed for the solution of complex linear dynamic systems. It is remarkable that, while the mid-frequency region is usually very challenging, a smooth transition from low- through mid- and high-frequency ranges is possible and all ranges can now be considered in a single framework. An interpretation of the frequency averaging in the time domain is presented and it is explained that the average may be evaluated very efficiently in terms of system solutions.

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