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Global parametric quadratic stabilizability of nonlinear systems with uncertainty

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Sufficient conditions for the global PQ-stabilizability of a nonlinear system with uncertainty are established

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References

  1. Von L. Collatz, Functional Analysis and Numerical Mathematics, Acad. Press, New York, (1966).

    Google Scholar 

  2. A. M. Letov, Stability of Nonlinear Adjustable Systems [in Russian], Fizmatgiz, Moscow (1964).

    Google Scholar 

  3. A. A. Martynyuk and A. S. Khoroshun, “Parametric stability theory revisited,” Dop. NAN Ukrainy, 7, 59–65 (2007).

    Google Scholar 

  4. Yu. I. Neimark and N. A. Fufaev, Dynamics of Nonholonomic Systems [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  5. M. Ikeda, Y. Ohta, and D. D. Siljak, “Parametric stability,” in: Proc. Joint Conf. on New Trends in System Theory, Univesita di Genova and The Ohio State University, Birkhauser-Basel, Boston-Berlin (1991), pp. 1–20.

    Google Scholar 

  6. V. B. Larin, “Stabilization of a wheeled robotic vehicle,” Int. Appl. Mech., 43, No. 7, 800–808 (2007).

    Article  Google Scholar 

  7. V. B. Larin and A. A. Tunik, “Dynamic output feedback compensation of external disturbances,” Int. Appl. Mech., 42, No. 5, 606–616 (2006).

    Article  MathSciNet  Google Scholar 

  8. L. G. Lobas, V. V. Koval’chuk, and O. V. Bambura, “Equilibrium states of a pendulum with an asymmetric follower force,” Int. Appl. Mech., 43, No. 4, 460–466 (2007).

    Article  Google Scholar 

  9. A. A. Martynyuk and N. V. Nikitina, “On oscillations of a frictional pendulum,” Int. Appl. Mech., 42, No. 2, 214–220 (2006).

    Article  MathSciNet  Google Scholar 

  10. Y. Ohta and D. D. Siljak, “Parametric quadratic stabilizability of uncertain nonlinear systems,” Syst. Cont. Lett., No. 22, 437–444 (1994).

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Translated from Prikladnaya Mekhanika, Vol. 44, No. 6, pp. 126–133, June 2008.

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Khoroshun, A.S. Global parametric quadratic stabilizability of nonlinear systems with uncertainty. Int Appl Mech 44, 703–709 (2008). https://doi.org/10.1007/s10778-008-0073-7

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  • DOI: https://doi.org/10.1007/s10778-008-0073-7

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