Application of the Method of Averaging to the Problems of Optimal Control Over Functional-Differential Equations
Sign Up to like & getrecommendations! Published in 2018 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-018-1497-9
Abstract: We study the application of the method of averaging to the problems of optimal control over functional differential equations. The procedure of averaging allows one to replace the original problem by the problem of optimal… read more here.
Keywords: method averaging; problems optimal; differential equations; application method ... See more keywords
Closed-form estimations of the bistable region in metal cutting via the method of averaging
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Non-Linear Mechanics"
DOI: 10.1016/j.ijnonlinmec.2018.09.005
Abstract: Abstract Machine tool vibrations in turning processes are analyzed by taking into account the nonlinearity of the cutting force characteristics. Unstable limit cycles are computed for the governing nonlinear delay-differential equation in order to determine… read more here.
Keywords: closed form; method averaging; bistable region; region ... See more keywords