Controlling a non-homogeneous Timoshenko beam with the aid of the torque
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- Avdonin, S.A. and Ivanov, S.A. (1995). Families of Exponentials, Cambridge University Press, Cambridge.
- Avdonin, S. and Moran, W. (2001). Ingham-type inequalities and Riesz bases of divided differences, InternationalJournal of Applied Mathematics Computer Science11(4): 803-820.
- Kaczorek, T. (2012). Existence and determination of the set of Metzler matrices for given stable polynomials, InternationalJournal of Applied Mathematics Computer Science22(2): 389-399, DOI: 10.2478/v10006-012-0029-2.
- Kato, T. (1966). Perturbation Theory for Linear Operators, Springer-Verlag, Berlin.
- Krabs,W. and Sklyar, G.M. (2002). On Controllability of LinearVibrations, Nova Science Publishers Inc., Huntington, NY.
- Levin, B. (1961). On Riesz bases of exponential in l2, ZapiskiMatematicheskogo Otdieleniya Fiziko-matematicheskogoFakul’teta Kharkovskogo Universiteta 27(4): 39-48.
- Ostalczyk, P. (2012). Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains, InternationalJournal of Applied Mathematics Computer Science22(3): 533-538, DOI: 10.2478/v10006-012-0040-7.
- Paley, R.E.A.C. and Wiener, N. (1934). Fourier Transformsin the Complex Domain, American Mathematical Society, Providence, RI.
- Respondek, J.S. (2008). Approximate controllability of infinite dimensional systems of the n-th order, InternationalJournal of Applied Mathematics Computer Science18(2): 199-212, DOI: 10.2478/v10006-008-0018-7.
- Russell, D.L. (1967). Non-harmonic Fourier series in control theory of distributed parameter system, Journal of MathematicalAnalysis and Applications (18): 542-560.
- Sklyar, G.M. and Rezounenko, A.V. (2003). Strong asymptotic stability and constructing of stabilizing control, MatematitcheskajaFizika, Analiz i Geometria 10(4): 569-582.
- Sklyar, G.M. and Szkibiel, G. (2007). Spectral properties of non-homogeneous Timoshenko beam and its controllability, Mekhanika Tverdogo Tela (37): 175-183.
- Sklyar, G.M. and Szkibiel, G. (2008a). Controllability from rest to arbitrary position of non-homogeneous Timoshenko beam, Matematitcheskij Analiz i Geometria 4(2): 305-318.
- Sklyar, G.M. and Szkibiel, G. (2008b). Spectral properties of non-homogeneous Timoshenko beam and its rest to rest controllability, Journal of Mathematical Analysis and Applications (338): 1054-1069.
- Sklyar, G.M. and Szkibiel, G. (2012). Approximation of extremal solution of non-Fourier moment problem and optimal control for non-homogeneous vibrating systems, Journal of Mathematical Analysis and Applications (387): 241-250.
- Zerrik, E., Larhrissi, R. and Bourray, H. (2007). An output controllability problem for semilinear distributed hyperbolic systems, International Journal of AppliedMathematics Computer Science 17(4): 437-448, DOI: 10.2478/v10006-007-0035-y.
Language: English
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Published on: Sep 30, 2013
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© 2013 Grigory M. Sklyar, Grzegorz Szkibiel, published by Sciendo
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