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First Order Perturbation Bounds of the Discrete-Time LMI-Based H∞ Quadratic Stability Problem for Descriptor Systems Cover

First Order Perturbation Bounds of the Discrete-Time LMI-Based H∞ Quadratic Stability Problem for Descriptor Systems

Cybernetics and Information Technologies
Volume 12 (2012): Issue 1 (March 2012)
By:   
Open Access
|Mar 2013
References

References

  1. 1. Boyd, S., L. El. Ghaoui, F. Feron, V. Balakrishnan. Linear Matrix Inequalities in Systems and Control Theory. Philadelphia, SIAM, 1996.
    Search in Google Scholar
  2. 2. Yonchev, A., M. Konstantinov, P. Petkov. Linear Matrix Inequalities in Control Theory. ISBN 954:9526-32-1. Sofia, Demetra, 2005 (in Bulgarian).
    Search in Google Scholar
  3. 3. Nestorov, Y., P. Gahinet. Interior-Point Polynomial Algorithms in Convex Programming. PA, Philadelphia, SIAM, 1994.
    Open DOISearch in Google Scholar
  4. 4. Gahinet, P., A. Nemirovski, A. Laub, M. Chilali. LMI Control Toolbox for Use with MATLAB. The MathWorks, Inc., 2000.
    Search in Google Scholar
  5. 5. Paucelle, D., D. Henrion, Y. Labit, K. Taitz. User's Guide for SeDuMi Interface 1.04. LAAS-CNRS, 2002.
    Search in Google Scholar
  6. 6. Doyle, J. C., K. Glover, P. P. Khargonekar, B. A. Francis. State-Space Solutions to Standard Hand H„ Control Problems. - IEEE Transactions on Automatic Control, 34, 1989, 831-847.
    Open DOISearch in Google Scholar
  7. 7. Peterson, I. R., B. D. O. Anderson, E. A. Jonkheere. A First Principles Solution to the Non-Singular H„ Control Problem. - Int. J. Robust Non. Contr., 1, 1991, 171-185.
    Open DOISearch in Google Scholar
  8. 8. Dullerud, G. E., F. Paganini. A Course in Robust Control Theory. - In: New York, Springer-Verlag, 2000.
    Open DOISearch in Google Scholar
  9. 9. Gahinet, P., P. Apkarian. A Linear Matrix Inequality Approach to H„ Control. - Int. J. Robust and Nonlinear Control, 4, 1994, 421-448.
    Open DOISearch in Google Scholar
  10. 10. Dai, L . Singular Control Systems. Berlin, Springer-Verlag, 1989.
    Open DOISearch in Google Scholar
  11. 11. Rehm, A. Control of Descriptor Systems: An LMI Approach. PhD Dissertation, 2002.
    Search in Google Scholar
  12. 12. Boom, T., T. Back x. Lecture Notes for Model Predictive Control Disc Course. Winter, 1999.
    Search in Google Scholar
  13. 13. Mehrman, V. The Autonomous Linear Quadratic Control Problem. - In: Lecture Notes in Control and Information Sciences. Berlin, Springer-Verlag, 1991.
    Open DOISearch in Google Scholar
  14. 14. Lewis, F. A Survey of Linear Singular Systems. - Circuits, Syst., Signal Process., Vol. 5, 1886, No 1, 3-36.
    Open DOISearch in Google Scholar
  15. 15. Yonchev, A., R. Findeisen, C. Ebenbauer, F. Allgower. Model Predictive Control of Linear Continuous Time Singular Systems Subject to Input Constraints. - In: 43rd IEEE Conference on Decision and Control. 14-17 December 2004, Atlantis, Paradise Island, Bahamas.
    Open DOISearch in Google Scholar
  16. 16. Bender, D., A. Laub. The Linear-Quadratic Optimal Regulator for Descriptor Systems. - IEEE Trans. Automat. Control, Vol. 32, 1987, No 8, 287-291.
    Open DOISearch in Google Scholar
  17. 17. Cobb, D. Descriptor Variable Systems and Optimal State Regulation. - IEEE Trans. Aut. Control, Vol. 28, 1983, No 6, 601-611.
    Open DOISearch in Google Scholar
  18. 18. Brenan, K., S. Campbel, L. Petzold. Numerical Solution of Initial Value Problems in Differential -Algebraic Equations. Classics in Applied Mathematics. Philadelphia, SIAM, 1996.
    Open DOISearch in Google Scholar
  19. 19. Maly, T., L. Petzold. Numerical Methods and Software for Sensitivity Analysis of Differential-Algebraic Systems. - Appl. Num. Math., Vol. 20, 1996, 57-79.
    Open DOISearch in Google Scholar
  20. 20. Yonchev, A. Linear Perturbation Bounds of the Continuous-Time LMI Based HQuadratic Stability Problem for Descriptor Systems. - Cybernetics and Information Technologies, Vol. 11, 2011, No 4, 31-40.
    Search in Google Scholar
DOI: https://doi.org/10.2478/cait-2012-0001 | Journal eISSN: 1314-4081 | Journal ISSN: 1311-9702 (formerly 1314-4081)
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Language: English
Page range: 3 - 12
Published on: Mar 13, 2013
Published by: Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
In partnership with: Paradigm Publishing Services
Keywords:
Discrete-time descriptor systems,
first order perturbation bounds,
H∞ Quadratic Stability Problem,
LMI based design
Related subjects:
Computer sciences,
Information technology

© 2013 Andrey Yonchev, published by Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
This work is licensed under the Creative Commons License.

Volume 12 (2012): Issue 1 (March 2012)
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