Skip to main content

Part of the book series: Advances in Industrial Control ((AIC))

  • 1315 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

1.8 Bibliographical Notes

  1. Adams, R., Fournier, J., Sobolev Spaces, 2nd edition, Academic Press, 2003.

    Google Scholar 

  2. Apostol, T., Mathematical Analysis, Addison-Wesley, USA 1974.

    MATH  Google Scholar 

  3. Başar, T., “A dynamic game approach to controller design: disturbance rejection in discrete-time,” Proceedings of the 28 th Conference on Decision and Control, pp. 407–414, 1989.

    Google Scholar 

  4. Başar, T., G. J. Olsder, Dynamic Noncooperative Game Theory, 2nd edition, SIAM’s Classic in Applied Mathematics 23, SIAM, Philadelphia, 1999.

    MATH  Google Scholar 

  5. Başar, T., P. Bernard, H Optimal Control and Related Minimax Design Problems, Birkhäuser, 1995.

    Google Scholar 

  6. Bertsekas, D. P., J. N. Tsitsiklis, Neuro-dynamic Programming, Athena Scientific, Belmont, MA, 1996.

    MATH  Google Scholar 

  7. Genesio, R., M. Tartaglia, “On the estimation of asymptotic stability regions: state of the art and new proposals,” IEEE Transactions on Automatic Control, Vol. 30, pp. 747–755, August 1985.

    Article  MATH  MathSciNet  Google Scholar 

  8. Hill, D., P. Moylan, “The stability of nonlinear dissipative systems,” IEEE Transactions on. Automatic Control, Vol. 21, pp. 708–711, October 1976.

    Article  MATH  MathSciNet  Google Scholar 

  9. Hornik, K., M. Stinchcombe, H. White, “Universal approximation of an unknown mapping and its derivatives using multilayer feedforward networks,” Neural Networks, Vol. 3, pp. 551–560, 1990.

    Article  Google Scholar 

  10. Kailath, T. Linear Systems, Prentice Hall, NJ, 1980.

    MATH  Google Scholar 

  11. Khalil, H., Nonlinear Systems, 3rd Edition, Prentice Hall, Upper Saddle River, NJ, 2003.

    Google Scholar 

  12. Kirk, D., Optimal Control Theory: An Introduction, Prentice Hall, New Jersey, 1970.

    Google Scholar 

  13. Kleinman, D., “On an iterative technique for Riccati equation computations,” IEEE Transactions on Automatic Control, Vol. 13, pp. 114–115, February 1968.

    Article  Google Scholar 

  14. Lancaster, P., L. Rodman, Algebraic Riccati Equations, Oxford University Press Inc., New York, 1995.

    MATH  Google Scholar 

  15. Landelius, T., Reinforcement Learning and Distributed Local Model Synthesis, Ph.D. thesis, LinkSping University, 1997.

    Google Scholar 

  16. Lewis, F. L., S. Jagannathan, A. Yesildirek, Neural Network Control of Robot Manipulators and Nonlinear Systems, Taylor & Francis, London, 1999.

    Google Scholar 

  17. Lewis, F. L., V. L. Syrmos, Optimal Control, John Wiley & Sons, Inc. New York, NY, 1995.

    Google Scholar 

  18. Lin, W., C.I. Byrnes, “H control of discrete-time nonlinear systems,” IEEE Transaction on Automatic Control, Vol. 41, pp. 494–510, April 1996.

    Article  MATH  MathSciNet  Google Scholar 

  19. Saridis, G., C. S. Lee, “An approximation theory of optimal control for trainable manipulators,” IEEE Transactions on Systems, Man, Cybernetics, Vol. 9, No. 3, pp. 152–159, March 1979.

    Article  MATH  MathSciNet  Google Scholar 

  20. Van Der Schaft, A. J., L 2-gain and Passivity Techniques in Nonlinear Control, London, U.K.: Springer-Verlag, 1999.

    Google Scholar 

  21. Willems, J. C., “Dissipative dynamical systems part II: linear systems with quadratic supplies,” Archive for Rational Mechanics and Analysis, Vol. 45, No. 1, pp. 352–393, 1972.

    Article  MATH  MathSciNet  Google Scholar 

  22. Zames, G., “Feedback and Optimal Sensitivity: Model Reference Transformations, Multiplicative Seminorms, and Approximate Inverses,” IEEE Transactions on Automatic Control, Vol. 26, pp. 301–320, February 1981.

    Article  MATH  MathSciNet  Google Scholar 

  23. Zhou, K., J. Doyle, Essentials of Robust Control, Prentice Hall, 1997.

    Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag London Limited

About this chapter

Cite this chapter

(2006). Preliminaries and Introduction. In: Nonlinear H 2/H Constrained Feedback Control. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/1-84628-350-7_1

Download citation

  • DOI: https://doi.org/10.1007/1-84628-350-7_1

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84628-349-9

  • Online ISBN: 978-1-84628-350-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics