Variable-, fractional-order oscillation element. (English) Zbl 1425.93123
Babiarz, Artur (ed.) et al., Theory and applications of non-integer order systems. Papers of the 8th conference on non-integer order calculus and its applications, Zakopane, Poland, September 20–21, 2016. Cham: Springer. Lect. Notes Electr. Eng. 407, 65-75 (2017).
Summary: The dynamic properties of the variable-, fractional-order oscillation element (VFOOE) are investigated in the paper. The equations and the block diagram are derived. Stability and existence conditions of solutions of proposed systems are considered. For the illustration numerical examples are presented.
For the entire collection see [Zbl 1414.93003].
For the entire collection see [Zbl 1414.93003].
MSC:
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93C05 | Linear systems in control theory |
| 26A33 | Fractional derivatives and integrals |
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
References:
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| [3] | Ostalczyk, P.: Discrete Fractional Calculus. Applications in Control and Image Processing. Series in Computer Vision, vol. 4. World Scientific Publishing, Singapore (2016) · Zbl 1354.93003 |
| [4] | Caputo, M., Mainardi, F.: A new dissipation model based on memory mechanism. Pure Appl. Geophys. 91, 134-147 (1971) · Zbl 1213.74005 · doi:10.1007/BF00879562 |
| [5] | Kaczorek, T.: Linear Control Systems: Analysis of Multivariable Systems. Wiley, New York (1992) · Zbl 0784.93002 |
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