Abstract
The problem of the measure of robust stability, modality, and aperiodicity of continuous, discrete, and distributed linear systems with linear parameters is solved. The nonlinear and matrix cases are analyzed.
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References
V. L. Kharitonov, “Asymptotic stability of equilibrium in families of linear differential equations,” Diff. Uravn.,14, No. 11, 2086–2088 (1978).
É. I. Jury, “Robustness of discrete systems,” Avtomat. Telemekh., No. 5, 3–28 (1990).
Yu. I. Gusev, V. N. Efimov, V. T. Krymskii, and V. Yu. Rutkovskii, “Analysis and design of linear integral systems, I, II,” Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 1, 2–23, No. 2, 3–30 (1991).
B. T. Polyak and Ya. Z. Tsypkin, “International symposium on robust control,” Avtomat. Telemekh., No. 1, 185–187 (1993).
F. R. Gantmakher, Matrix Theory [in Russian], Nauka, Moscow (1988).
Yu. I. Neimark, “Robust stability of linear systems,” Dokl. Akad. Nauk SSSR,319, No. 3, 578–580 (1991).
Yu. I. Neimark, “Measure of robust stability and modality for linear systems,” Dokl. RAN,325, No. 2, 247–249 (1992).
Yu. I. Neimark, “Measure of robust stability of linear systems,” Avtomat. Telemekh., No. 1, 107–110 (1993).
Yu. I. Neimark, “Robust modality and aperiodicity,” Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 6, 84–88 (1992).
Yu. I. Neimark, “Robust stability in nonlinear parameters,” Diff. Uravn.,28, No. 12, 2185–2187 (1992).
Yu. I. Neimark, “Stability of linearized systems,” LKVVIA, Leningrad, p. 140 (1949).
Yu. I. Neimark, Dynamic Systems and Controlled Processes [in Russian], Nauka, Moscow (1978).
Additional information
Translated from Algoritmy Upravleniya i Identifikatsii, pp. 94–103, 1997.
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Neimark, Y.I. D-partition and robust stability. Comput Math Model 9, 160–166 (1998). https://doi.org/10.1007/BF02404127
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DOI: https://doi.org/10.1007/BF02404127