Abstract
The problem of the determination of the quasi-optimal control for the Duffing oscillator using the LQGP technique and a linearization method is considered. A few cases of these oscillators are considered including Gaussian and Poisson excitations both additive and multiplicative. Some sufficient conditions of convergence for the considered iterative procedure used in the evaluation of quasi-optimal control are derived. Obtained results are illustrated by a numerical example.
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Kaczyński, P., Socha, L. (2011). Iterative Procedures in Application of the LQGP Approach to the Duffing Oscillator. In: Zhu, W.Q., Lin, Y.K., Cai, G.Q. (eds) IUTAM Symposium on Nonlinear Stochastic Dynamics and Control. IUTAM Bookseries, vol 29. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0732-0_25
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DOI: https://doi.org/10.1007/978-94-007-0732-0_25
Publisher Name: Springer, Dordrecht
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