For citation:
Chukanov S. N. Formalization method of interaction of smooth nonlinear dynamic systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 6, pp. 100-106.
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Language:
Russian
Article type:
Article
UDC:
531
Formalization method of interaction of smooth nonlinear dynamic systems
Autors:
Chukanov Sergei Nikolaevich, Omsk State Technical University
Abstract:
Formalization method of interaction of smooth nonlinear dynamic systems with use two-parametrical Lie groups is offered. The method can be applied for linear dynamic systems and is generalized on nonlinear dynamic systems. An example of interacting nonlinear dynamic systems is considered, which by linear consideration are noninteracting.
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Reference:
- D’ Angelo H. Linear Time-Varying Systems. Boston: Allyn and Bacon; 1970. 346 p. Kalman R. On the General Theory of Control Systems. In: Proceedings First International Congress of the International Federation of Automatic Control. London: ButterWorth; 1961. P. 481.
- Postnikov MM. Lectures on Geometry. Groups and Lie Algebras. М.: Nauka; 1982. 448 p. Warner FW. Foundations of Differentiable Manifolds and Lie Groups. Berlin: Springer; 1983. 272 p.
- Hori С. Theory of general pertubations for noncanonical systems. J. Japan. Astron. Soc. 1971;23(4):567-587. Giacaglia GEO. Perturbation Methods in Non-Linear Systems. N.Y.: Springer; 1972. 369 p. Kamel AA. Pertubation method in the theory of nonlinear oscillations. Celest.Mech. 1970;3(1):90-106. DOI: 10.1007/BF01230435.
Received:
13.08.1996
Accepted:
17.11.1996
Published:
08.04.1997
Journal issue:
- 17 reads