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Hybrid Symbolic and Numerical Simulation Studies of Time-fractional Order

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Hybrid Symbolic and Numerical Simulation Studies of Time-fractional Order

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27 Mar 2006 (Updated )

Matlab code to duplicate all figures in the paper, self-containing.

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Description

Boundary control of time-fractional order diffusion-wave systems is becoming an active research area. However, there is no readily available simulation tool till now for researchers to analyze and design controllers. In this paper, a simulation method for some typical boundary control problems, combining symbolic mathematics and numerical method, is presented with two application examples. In the intermediate steps of the simulation, an important by-product, the transfer function of the controlled system, can be obtained, which makes the design of more advanced boundary controllers possible and much easier.

Type "fig1" will get fig1 in the paper.

Citation:
Jinsong Liang and YangQuan Chen. ?Hybrid Symbolic and Numerical Simulation Studies of Time-fractional Order Wave-Diffusion Systems?, Int. J. of Control. Special Issue on on the Use of Computer Algebra Systems for Computer Aided Control System Design. (In press, 2006)

Acknowledgements

Boundary Control Via Smith Predictor For Beam Equation inspired this file.

Required Products Extended Symbolic Math Toolbox
Symbolic Math Toolbox
MATLAB release MATLAB 7 (R14)
Other requirements NILT by Lubomir Brancik <brancik@feec.vutbr.cz> and SolvOpt Matlab Toolbox http://www.kfunigraz.ac.at/imawww/kuntsevich/solvopt/download.html (both included for self-containing purpose)
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