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On a synthesis of stability of an invariant control system with an astatic gauge

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Abstract

For a synthesis of stability of an invariant control system with a perturbation that acts at the object, we establish that its mathematical model is represented in the form of differential equations with small parameter at the derivative. With the help of the method of functions of flexible structure of N. K. Kulikov for the coordinate of the object we obtain sufficient conditions for invariancy up to ɛ, which agree with requirements of absolute stability of the system.

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Authors and Affiliations

  1. Sevastopol' Instrument-Construction Institute, USSR

    R. A. Spasskii

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  1. R. A. Spasskii
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Translated from Dinamicheskie Sistemy, No. 8, pp. 54–58, 1989.

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Spasskii, R.A. On a synthesis of stability of an invariant control system with an astatic gauge. J Math Sci 65, 1649–1652 (1993). https://doi.org/10.1007/BF01097512

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  • DOI: https://doi.org/10.1007/BF01097512

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