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TECHNICAL PAPERS

Chebyshev Expansion of Linear and Piecewise Linear Dynamic Systems With Time Delay and Periodic Coefficients Under Control Excitations

[+] Author and Article Information
Haitao Ma, Eric A. Butcher

Department of Mechanical Engineering, University of Alaska Fairbanks, Fairbanks, AK 99775

Ed Bueler

Department of Mathematical Sciences, University of Alaska Fairbanks, Fairbanks, AK 99775e-mail: ffelb@uaf.edu

J. Dyn. Sys., Meas., Control 125(2), 236-243 (Jun 04, 2003) (8 pages) doi:10.1115/1.1570449 History: Received June 01, 2002; Revised January 01, 2003; Online June 04, 2003
Copyright © 2003 by ASME
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References

Figures

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Approach of the proposed method when T=2τ with τ=1
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Approach of the proposed method when pT=qτ with p=2,q=3, and τ=1
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Comparison of the solutions obtained by the proposed method and Matlab DDE23 software over the first period [0,1] for Example 1
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Solution of Example 1 obtained by the proposed method
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Comparison of the solutions obtained by the proposed method and Matlab DDE23 software over the first period 0≤t≤2 for Example 2
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Solution of Example 2 obtained by the proposed method
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Comparison of the solutions obtained by the proposed method and Matlab DDE23 software over the first period 0≤t≤1 for Example 3
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Solution of Example 3 obtained by the proposed method
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Solution of Example 4 obtained by the proposed method (Clearance Xc=0.5—the dashed line)

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