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Attainability Sets of a Homogeneous Bilinear System with Quasicommuting Matrices

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REFERENCES

  1. Heymann, V.I. and Kryazhimskii, A.V., Applied Mathematics and Computation, 1996, vol. 78, nos.2, 3, pp. 137-151.

    Google Scholar 

  2. Khailov, E.N., Trudy Mat. Inst. im. V.A. Steklova RAN, 1998, vol. 220, pp. 217-235.

    Google Scholar 

  3. Khailov, E.N., Vestn. Mosk. Univ. Ser. 15. Vychislitel'naya Matematika i Kibernetika, 1998, no. 1, pp. 26-30.

    Google Scholar 

  4. Hajek, O. and Loparo, K.A., Lecture Notes in Economics and Mathematical Systems, 1988, vol. 302, pp. 262-273.

    Google Scholar 

  5. Brokett, R.U., in Matematicheskie metody v teorii sistem (Mathematical Methods in Theory of Systems), Moscow, 1979, pp. 174-220.

  6. Gantmakher, F.R., Teoriya matrits (Matrix Theory), Moscow, 1988.

  7. Brockett, R.W., SIAM. Journal on Control, 1972, vol. 10, no.2, pp. 265-284.

    Google Scholar 

  8. Lee, E.B. and Markus, L., Foundations of Optimal Control Theory, New York: Wiley, 1967. Translated under the title Osnovy optimal'nogo upravleniya, Moscow, 1972.

    Google Scholar 

  9. Prasolov, V.V., Zadachi i teoremy lineinoi algebry (Problems and Theorems of Linear Algebra), Moscow, 1996.

  10. Celikovsky, S., Kybernetika, 1987, vol. 23, no.3, pp. 198-213.

    Google Scholar 

  11. Il'in, V.A. and Pozdnyak, E.G., Osnovy matematicheskogo analiza (Foundations of Mathematical Analysis), Moscow, 1982, part 1.

  12. Pontryagin, L.S., Boltyanskii, V.G., Gamkrelidze, R.V., and Mishchenko, E.F., Matematicheskaya teoriya optimal'nykh protsessov (Mathematical Theory of Optimal Processes), Moscow, 1983.

  13. Elkin, V.I., Reduktsiya nelineinykh upravlyaemykh sistem: Differentsial'no-geometricheskii podkhod (Reduction of Nonlinear Control Systems: Differential-Geometric Approach), Moscow, 1997.

  14. Kudryavtsev, L.D., Kurs matematicheskogo analiza (Course of Mathematical Analysis), Moscow, 1989, vol. 3.

  15. Shigeo, I., IEEE. Transactions on Circuits and Systems, 1985, vol. 32, no.5, pp. 503-505.

    Google Scholar 

  16. Il'in, V.A. and Pozdnyak, E.G., Osnovy matematicheskogo analiza (Foundations of Mathematical Analysis), Moscow, 1980, part 2.

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  1. Moscow State University, Moscow, Russia

    E. N. Khailov

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Khailov, E.N. Attainability Sets of a Homogeneous Bilinear System with Quasicommuting Matrices. Differential Equations 38, 1717–1723 (2002). https://doi.org/10.1023/A:1023856028923

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