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IssuesArchive of Issues2013-5pp.459-469

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M.I. Gomoyunov, "The optimization of a guaranteed result with a delay in the control," J. Appl. Math. Mech. 77 (5), 459-469 (2013)
Year 2013 Volume 77 Issue 5 Pages 459-469
Title The optimization of a guaranteed result with a delay in the control
Author(s) M.I. Gomoyunov (Ekaterinburg, Russia, gomojunov@mail.ru)
Abstract The problem of feedback control with a quality index in the form of the Euclidean norm of a set of deviations of the trajectory of motion of the system from the origin of coordinates at specified instants of time is considered for a linear dynamical system that is subjected to the effects of noise and contains a delay in the control element. A procedure for calculating the value of the optimal guaranteed result based on the recursive construction of upper convex hulls of auxiliary functions is given. A method for shaping the controlling actions that guarantee the achievement of this result is described.
Received 1 February 2013
Link to Fulltext http://www.sciencedirect.com/science/article/pii/S0021892813001329
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