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TECHNICAL NOTES

On the Guaranteed Nonsingularity of a Class of Banded Matrices for Optimal Control Generation

[+] Author and Article Information
Brian J. Driessen

Department of Mechanical and Aerospace Engineering, University of Alabama in Huntsville, Huntsville, AL 35899 e-mail: driessen@mae.uah.edu

Nader Sadegh

Department of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332 e-mail: nader.sadegh@me.gatech.edu

J. Dyn. Sys., Meas., Control 125(4), 672-673 (Jan 29, 2004) (2 pages) doi:10.1115/1.1636782 History: Online January 29, 2004
Copyright © 2003 by ASME
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References

Bazaraa, M., et al., 1979, Nonlinear Programming, Theory and Applications, Second Edition, New York: John Wiley & Sons, Inc.
Driessen,  B., Sadegh,  N., Parker,  G., and Eisler,  G., 1999, “A Robust Algorithm for General Inequality/Equality Constrained Minimum Time Problems,” ASME J. Dyn. Syst., Meas., Control, 121, pp. 337–345.
Driessen,  B., and Sadegh,  N., 2002, “Inequality/Equality Constrained Optimization: An Analytical Robustness Comparison of a Feasibility Method Versus L1 Sequential Quadratic Programming,” Optimization Methods and Software,17(4), pp. 701–716.
Ruxton,  D. J., 1993, “Differential Dynamic Programming Applied to Continuous Optimal Control Problems With State Variable Inequality Constraints,” Dyn. Control, 3, pp. 175–185.
Strang, G., 1988, Linear Algebra and Its Applications, 3rd edition, San Diego: Harcourt Brace Jovanovich, Inc.
Wright, S., 1991, “Structured Interior Point Methods for Optimal Control,” Proceedings of the 30th Conference on Decision and Control, Brighton, England, pp. 1711–1716.
Wright,  S., 1993, “Interior Point Methods for Optimal Control of Discrete Time Systems,” Journal of Optimization Theory and Applications,77(1), pp. 161–187.

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