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Dynamical regularizibility of inverse problems for control systems

  • III Optimal Control
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System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 180))

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References

  1. A.B. Marcovitz, On inverses and quasi-inverses of linear time-varying discrete systems, J. Franclin Inst. 272 (1961), 32–44.

    MathSciNet  Google Scholar 

  2. R.W. Brockett and M.D. Mesarovic, The reproducibility of multi-variable control systems, J. Math. An. Appl., 11 (1965), 548–563.

    Article  MATH  MathSciNet  Google Scholar 

  3. L.M. Silverman, Inversion of multi-variable linear systems, IEEE Tr. Aut. Control, 14 (1969), 270–276.

    Article  Google Scholar 

  4. M.K. Sain and J.L. Massey, Invertibility of linear time-invariant dynamical systems, IEEE Tr. Aut. Control. 14 (1969), 141–149.

    Article  MathSciNet  Google Scholar 

  5. R.M. Hirshorn, Invertibility of non-linear control systems, SIAM J. Control Opt., 17 (1979), 289–297.

    Article  Google Scholar 

  6. A.N. Tikhonov and V.Ya. Arsenin, Solution methods for ill-posed problems, Nauka, Moscow, 1979) (Russian).

    MATH  Google Scholar 

  7. V.K. Ivanov, V.V. Vasin and V.P. Tanana, Theory of linear ill-posed problems and its applications, Nauka, Moscow, 1978 (Russian).

    MATH  Google Scholar 

  8. M.I. Gusev and A.B. Kurzhanskii, Inverse problems of dynamics for control systems, Mechanics and Scient.-Technical Progress, 1, Nauka, Moscow, 1987, 187–195 (Russian).

    Google Scholar 

  9. A.V.Kryazhimskii and Yu.S.Osipov, On control modelling for a dynamical system, Izv. Akad. Nauk SSSR. Tekhn. Kibern., 1983, no 2, 51–60 (Russian).

    Google Scholar 

  10. A.V. Kryazhimskii and Yu.S. Osipov, Inverse problems of dynamics and controlled models, Mechanics and Scient.-Technical Progress, 1, Nauka, Moscow, 1987, 197–211 (Russian).

    Google Scholar 

  11. A.V.Kryazhimskii and Yu.S.Osipov, Stable solutions of inverse problems in the dynamics of controlled systems, Proc. Steklov Inst. Math., 1990, Issue 2, 143–164.

    Google Scholar 

  12. N.N.Krasovskii and A.I.Subbotin, Game-theoretical control problems, Springer Verlag, 1988.

    Google Scholar 

  13. J.Warga, Optimal control of differential and functional equations, Academic Press, 1972.

    Google Scholar 

  14. V.A. Vinokurov, On the conception of regularizibility of discontinuous mappings, Zhurn. Vychisl. Matem. Matem. Fis., 11 (1971), 1097–1112 (Russian).

    MATH  MathSciNet  Google Scholar 

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L. D. Davisson A. G. J. MacFarlane H. Kwakernaak J. L. Massey Ya Z. Tsypkin A. J. Viterbi Peter Kall

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© 1992 International Federation for Information Processing

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Kryazhimskii, A.V. (1992). Dynamical regularizibility of inverse problems for control systems. In: Davisson, L.D., et al. System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0113305

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  • DOI: https://doi.org/10.1007/BFb0113305

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  • Print ISBN: 978-3-540-55577-3

  • Online ISBN: 978-3-540-47220-9

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