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Application of gradient search algorithms to stability analysis of nonlinear difference systems

  • Numerical Methods for Solution of Equations
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Abstract

We consider a Lur'e—Postnikov discrete nonlinear direct control system using Lyapunov functions. Application of gradient optimization methods for estimating the characteristics of solutions of this system is examined.

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References

  1. V. M. Kuntsevich and M. M. Lychak, Synthesis of Automatic Control Systems Using Lyapunov Functions [in Russian], Moscow (1977).

  2. Yu. M. Ermol'ev, I. I. Lyashko, V. S. Mikhalevich, and V. I. Tyuptya, Mathematical Methods of Operations Research [in Russian], Kiev (1979).

  3. B. N. Pshenichnyi and Yu. M. Danilin, Numerical Methods in Extremal Problems [in Russian], Moscow (1975).

  4. O. I. Stadnik and D. Ya. Khusainov, Estimating the Operation of Nonlinear Difference Systems [in Russian], Kiev (1989). Unpublished manuscript, UkrNIINTI 11.01.89, No. 2396-Uk89Dep.

  5. N. Z. Shor, Methods of Minimization of Nondifferentiable Functions and Their Applications [in Russian], Kiev (1979).

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Authors
  1. D. Ya. Khusainov
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  2. O. I. Stadnik
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Additional information

Kiev University. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 75, pp. 35–38, 1991.

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Khusainov, D.Y., Stadnik, O.I. Application of gradient search algorithms to stability analysis of nonlinear difference systems. J Math Sci 72, 3073–3075 (1994). https://doi.org/10.1007/BF01259473

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  • DOI: https://doi.org/10.1007/BF01259473

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