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Absolute characteristic exponent of a class of linear nonstatinoary systems of differential equations

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Literature Cited

  1. A. Kh. Gelig, G. A. Leonov, and V. A. Yakubovich, The Stability of Nonlinear Systems with a Nonunique Equilibrium State [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  2. E. S. Pyatnitskii, “New investigations on the absolute stability of automatic control systems,” Avtomat. Telemekh., No. 6, 5–36 (1968).

    Google Scholar 

  3. E. S. Pyatnitskii, “The absolute stability of nonstationary nonlinear systems,” Avtomat. Telemekh., No. 1, 5–15 (1970).

    Google Scholar 

  4. E. S. Pyatnitskii, “Extension of the frequency criterion of the absolute stability of control systems with one nonlinear nonstationary element,” Izv. Vyssh. Uchebn. Zaved., Radiofiz.,15, No. 3, 319–322 (1972).

    Google Scholar 

  5. A. I. Barkin and A. L. Zelentsovskii, “The absolute stability of automatic control systems with a single nonlinear element,” Dokl. Akad. Nauk SSSR,276, No. 4, 809–812 (1984).

    Google Scholar 

  6. A. M. Meilakhs, “On the design of stable control systems subject to parametric perturbation,” Avtomat. Telemekh., No. 10, 1409–1418 (1978).

    Google Scholar 

  7. A. P. Molchanov and E. S. Pyatnitskii, “Lyapunov functions, defining necessary and sufficient conditions for the absolute stability of nonlinear nonstationary control systems,” Avtomat. Telemekh., No. 3, 63–73; No. 4, 5–15; No. 5, 38–49 (1986).

    Google Scholar 

  8. A. F. Filippov, Differential Equations with a Discontinuous Right-Hand Side [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  9. V. I. Opoitsev, Equilibrium and Stability in Models of Collective Behavior [in Russian], Nauka, Moscow (1977).

    Google Scholar 

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Authors
  1. N. E. Barabanov
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Additional information

Leningrad. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 29, No. 4, pp. 12–22, July–August, 1988.

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Barabanov, N.E. Absolute characteristic exponent of a class of linear nonstatinoary systems of differential equations. Sib Math J 29, 521–530 (1988). https://doi.org/10.1007/BF00969859

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  • DOI: https://doi.org/10.1007/BF00969859

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