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Use of semidefinite programming for solving the LQR problem subject to rectangular descriptor systems Cover

Use of semidefinite programming for solving the LQR problem subject to rectangular descriptor systems

International Journal of Applied Mathematics and Computer Science
Volume 20 (2010): Issue 4 (December 2010)
By:   
Open Access
|Dec 2010
References

References

  1. Anderson, B. D. O. and Moore, J. B. (1990)., Prentice-Hall, Upper Saddle River, NJ.
    Search in Google Scholar
  2. Balakrishnan, V. and Vandenberghe, L. (2003). Semidefinite programming duality and linear time-invariant systems,(1): 30-41.
    Open DOISearch in Google Scholar
  3. Bender, D. J. and Laub, A. J. (1987). The linear quadratic optimal regulator for descriptor systems,(8): 672-688.
    Open DOISearch in Google Scholar
  4. Dai, L. (1989)., Lecture Notes in Control and Information Sciences, Vol. 118, Springer, Berlin.
    Search in Google Scholar
  5. Geerts, T. (1994). Linear quadratic control with and without stability subject to general implicit continuous time systems: Coordinate-free interpretations of the optimal cost in terms of dissipation inequality and linear matrix inequality,: 607-658.
    Open DOISearch in Google Scholar
  6. Ishihara, J. Y. and Terra, M. H. (2001). Impulse controllability and observability of rectangular descriptor systems,: 991-994.
    Open DOISearch in Google Scholar
  7. Jiandong, Z., Shuping, M. and Zhaolin, C. (2002). Singular LQ problem for nonregular descriptor system,(7): 1128-1133.
    Open DOISearch in Google Scholar
  8. Katayama, T. and Minamino, K. (1992). Linear quadratic regulator and spectral factorization for continuous time descriptor system,, pp. 967-972.
    Search in Google Scholar
  9. Klema, V. C. and Laub, A. J. (1980). The singular value decomposition: Its computation and some applications(2): 164-176.
    Open DOISearch in Google Scholar
  10. Mehrmann, V. (1989). Existence, uniqueness, and stability of solutions to singular linear quadratic optimal control problems,: 291-331.
    Open DOISearch in Google Scholar
  11. Rami, M. A. and Zhou, X. Y. (2000). Linear matrix inequalities, riccati equations, and indefinite stochastic linear quadratic controls,(6): 1131-1143.
    Open DOISearch in Google Scholar
  12. Silva, M. S. and de Lima, T. P. (2003). Looking for nonnegative solutions of a leontif dynamic model,: 281-316.
    Open DOISearch in Google Scholar
  13. Vandenberghe, L. and Boyd, S. (1999). Applications of semidefinite programming,: 283-299.
    Open DOISearch in Google Scholar
  14. Yao, D., Zhang, D. and Zhou, X. Y. (2001). A primal dual semidefinite programming approach to linear quadratic control,(9): 1442-1447.
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.2478/v10006-010-0048-9 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
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Language: English
Page range: 655 - 664
Published on: Dec 20, 2010
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
rectangular descriptor system,
LQR problem,
restricted system equivalent,
semidefinite programming
Related subjects:
Mathematics,
Applied mathematics

© 2010 Muhafzan, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 20 (2010): Issue 4 (December 2010)
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