NDLI: Delaying control of non-homogeneous string forced vibrations under mixed boundary conditions

Content Provider	IEEE Xplore Digital Library
Author	Khurshudyan, A.Zh. Arakelyan, Sh.Kh.
Copyright Year	2013
Description	Author affiliation: Fac. of Radiophys., Yerevan State Univ., Yerevan, Armenia (Arakelyan, Sh.Kh.) \|\| Fac. of Math. & Mech., Yerevan State Univ., Yerevan, Armenia (Khurshudyan, A.Zh.)
Abstract	Optimal control problem on finite time-interval is considered for non-homogeneous wave equation with variable coefficients and mixed boundary conditions. It is assumed that control process is carried out by delaying impacts with arbitrary distribution. Functionals describing the summary momentum and total energy of control impacts in considered time-interval are taken as control process optimality criterias. Using Fourier generalized integral transformation the problem is firstly reduced to interpolation problem with respect to unknown function Fourier transform, and then to truncated system of moments problem with respect to required function. Solution of the problem is obtained explicitly by means of generalized functions. Necessary and sufficient conditions on existence of optimal control function in terms of space of measurable functions are obtained using existence theorems of general moments theory. Numerical calculations are done and optimal resolving control function is plotted for piecewise non-homogeneous string, consisting of two heterogeneous strings.
Sponsorship	IEEE Electron. Devices Soc.
Starting Page	1
Ending Page	5
File Size	503473
Page Count	5
File Format	PDF
e-ISBN	9781479910625
DOI	10.1109/SIBCON.2013.6693636
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-09-12
Publisher Place	Russia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Vibrations moments problem optimal generalized control Propagation Process control Optimal control Aerospace electronics Boundary conditions Controllability non-homogeneous string Delay impulsive control
Content Type	Text
Resource Type	Article

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