On the controllability properties of bilinear systems with discrete time associated with block triangular and permutation matrices

 
PIIS000233880003490-8-1
DOI10.31857/S000233880003490-8
Publication type Article
Status Published
Authors
Affiliation: MAI
Address: Russian Federation
Journal nameIzvestiia Rossiiskoi akademii nauk. Teoriia i sistemy upravleniia
EditionIssue 6
Pages4-19
Abstract

  

Keywords
Received09.01.2019
Publication date09.01.2019
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1. Mohler R.R. Bilinear Control Processes. New York: Academic. 1973

2. Bruni C., Pillo G., Koch G. Bilinear Systems: on Appealing Class of «Nearly Linear» Systems in Theory and Applications //IEEE Transactions on Automatic Control. 1974. V.19. NO.4. P.334–348.

3. Mohler R.R., Kolodziej W.J. An Overview of Bilinear System Theory and Applications // IEEE Transactions on System, Man, and Cybernetics. 1980. V.10. NO.10. P.683–688.

4. Faradzhev R.G., Fat Vu Ngok, Shapiro F.V. Teoriya upravlyaemosti diskretnykh dinamicheskikh sistem //AiT. 1986. №1. S. 5–24.

5. Negojtse K. Primenenie teorii sistem k problemam upravleniya. M.: Mir, 1981.

6. Elliott D.L. Bilinear Control Systems: Matrices in Action. Dordrecht: Springer, 2009.

7. Leonov G. Mathematical Problems of Control Theory and Introduction. Singapore: Word Scientific, 2001.

8. Rink R.E., Mohler R.R. Completely Controllable Bilinear Systems //SIAM J. Control and Optimization. 1968. V.6. NO.3. P.477–486.

9. Elliott D.L. A Consequence of Controllability // J. Differential Equations. 1971. V.10. NO.2. P.364–370.

10. Tarn T.J., Elliott D.L., Goka T. Controllability of Discrete Bilinear Systems with Bounded Control //IEEE Transactions on Automatic Control. 1973. V.18. NO.3. P.298–301.

11. Goka T., Tarn T.J., Zaborszky J. On the Controllability of a Class of Discrete Bilinear Systems //Automatic. 1973. V.9. NO.5. P.615–622.

12. Evans M.E., Murthy D.N.P. Controllability of a Class of Discrete Time Bilinear Systems // IEEE Transactions on Automatic Control. 1977. V.22. NO.1. P. 78–83.

13. Elliott D.L. A Controlability Counterexample // IEEE Transactions on Automatic Control. 2005. V.50.NO.6. P. 840–841.

14. Sirotin A.N. Ob upravlyaemosti odnorodnykh bilinejnykh diskretnykh sistem s kommutativnymi matritsami //Izv. AN. TiSU. 2000. №2. S. 13–14.

15. Tie L., Cai K.-Y.,Lin Y. On Controllability of Discrete-time Bilinear Systems // J. Franklin Institute. 2011. V.348. NO.5. P. 933–940.

16. Albertini F., Sontag E. Discrete-time Transitivity and Accessibility: Analysis Systems //SIAM J. Control and Optimization. 1993. V.31.NO.6. P. 1599–1622.

17. Tie L., Cai K.-Y.,Lin Y. On Uncontrollable Discrete-time Bilinear Systems which Are Nearly Controllable // IEEE Transactions on Automatic Control. 2010. V.55.NO.12. P. 2853–2858.

18. Tie L. On Near-controllability, Nearly-controllable Subspace, and Near-controllability Index of a Class of Discrete-time Bilinear Systems: a Root Locus Approach //SIAM J. Control and Optimization. 2014. V.52. NO.2. P. 1142–1165.

19. Sirotin A.N. O mnozhestvakh 0-upravlyaemosti odnoj bilinejnoj diskretnoj sistemy s ogranichennym skalyarnym upravleniem //AiT. 2000. № 10. S. 109–118.

20. Sirotin A.N. Kharakterizatsiya mnozhestv 0-upravlyaemosti kommutativnykh bilinejnykh diskretnykh sistem s ogranichennym skalyarnym upravleniem //AiT. 2002. № 8. S. 110–127.

21. Sirotin A.N. O nekotorykh zadachakh upravleniya bilinejnymi diskretnymi sistemami s treugol'nymi matritsami //Izv. AN. T i SU. 2003. №1. S. 5–9.

22. Khorn R., Dzhonson Ch. Matrichnyj analiz. M.: Mir, 1989.

23. Prasolov V.V. Zadachi i teoremy linejnoj algebry. M.: Nauka, 1996.

24. Gantmakher F.R. Teoriya matrits. M.: Nauka, 1967.

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