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On controllability of linear interval dynamical systems

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We consider controllability problem for linear dynamical systems with interval coefficients of corresponding matrices. We introduce concepts of universal and sub-universal controls, obtain methods of their construction and get their interesting properties.

Abstract

We consider controllability problem for linear dynamical systems with interval coefficients of corresponding matrices. We introduce concepts of universal and sub-universal controls, obtain methods of their construction and get their interesting properties.

참고문헌 (10)

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  2. R. Kalman, "On general theory of controlled systems", Proceedings of 1st congress IFAC. M, pp.521~547 (1961)
  3. P.V. Kokotovic, "Controllability and time-optimal control of systems with slow and fast modes", IEEE Trans. Aut. Cont, 20(1), pp.Ill~113 (1975)
  4. F.N. Koumboulis, "On Kalman's Controllability and Observability Criteria for Singular Systems", Circuits Systems Signal Process, 18(3), pp.269~290 (1999)
  5. Dmitriy V. Dolgy, "Vitality problem for linear controlled system", Advanced Studies in Contemporary Mathematics, 23(1), pp.211~216 (2013), 장전수학회
  6. F.P.Gantmakher, "Theory of matrices", pp.576~ (1967), Nauka
  7. F.P.Vasiliev, "Linear problems", pp.176~ (1998), Factorial
  8. R. Kalman, "Essay on mathematical theory of systems", pp.400~ (1971), Mir
  9. N.N.Krasovsky, "Theory of control of movement", pp.476~ (1968), Nauka
  10. L.T.Aschepkov, "Control of the linear multi-step systems in conditions of uncertainty", Far Eastern Mathematical Collection, 4, pp.95~104 (1997)

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