FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1997, VOLUME 3, NUMBER 3, PAGES 847-868

**Construction of precise solutions in special type nonlinear time
optimal control problem**

Y. N. Kiselev

Abstract

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The question of precise solutions construction in the nonlinear
time optimal control problem of special type is considered. These results
are strengthening the known results of M. Athans, P. Falb and
R. Laccosse
for controlled systems with invariant norm. The statement of the problem
for controlled systems with integral invariant is due to A. M. Letov.
Some estimates for optimal time in the nonlinear controlled special type
systems were found on the basis of the above results. Theoretical foundation
of investigation is consideration pair of polar reciprocal convex bodies,
one of which is control region of the object. Two-dimensional example
of time optimal control for the bilinear system is investigated.
```

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Location: http://mech.math.msu.su/~fpm/eng/97/973/97314t.htm

Last modified: January 20, 2000