Optimization of the boundary control by shift or elastic force at one end of string in a sufficiently long arbitrary time

Author:

Il’in V. A.,Moiseev E. I.

Publisher

Pleiades Publishing Ltd

Subject

Control and Systems Engineering,Electrical and Electronic Engineering

Reference5 articles.

1. Il’in, V.A., On Solvability of the Mixed Problems for the Hyperbolic and Parabolic Equations, Usp. Mat. Nauk, 1960, vol. 15, no. 2, pp. 97–154.

2. Il’in, V.A., Boundary Control of Oscillations at One End with Fixed Other End in Terms of the Generalized Solution of the Finite-energy Wave Equation, Diff. Uravn., 2000, vol. 36, no. 12, pp. 1670–1686.

3. Il’in, V.A. and Moiseev, E.I., Optimization of the Boundary Controls of String Oscillations, Usp. Mat. Nauk, 2005, vol. 60, no. 6, pp. 89–114.

4. Il’in, V.A. and Moiseev, E.I., Minimization in a Sufficiently Long Arbitrary Time Interval T of the Integral of the Absolute Value of the Derivative of the Derivative by Shift of the Boundary Control Raised to an Arbitrary Power p ⩽ 1, Diff. Uravn., 2006, vol. 42, no. 11, pp. 1633–1644.

5. Il’in, V.A., Optimal Boundary Control by the Elastic Force at One End and Fixed Other End and Its Corresponding Distribution of the Full String, Dokl. Ross. Akad. Nauk, 2005, vol. 400, no. 6, pp. 731–735.

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