This paper summarizes the basic approaches and the results obtained by the authors regarding the active control of structures. The optimal design of linear active control algorithms for nominally linear oscillators and their validation for non-linear systems (Van der Pol and Duffing oscillators), unknown and stochastic forcing functions, delayed and non-delayed systems, SDOF (single degree-of-freedom) and MDOF (multiple degree-of-freedom) systems, and tolerance of the results are some of the problems studied.
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