Barkhayev P. On the classification of nonlinear systems with constraints on control in the neighborhood of the origin

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U000293

Thesis Registration Form

0406U000293.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

27-12-2005

Specialized Academic Board

К64.051.11

Essay

We construct an algebraic classification of nonlinear affine control systems of ordinary differential equations with multidimensional control and different constraints on control in the neighborhood of the origin. Considered constraints on control are divided onto two classes and the way of construction the classification is essentially different for each of these classes. It is proved that to find the canonical form one has to apply, generally speaking, analytic transformations; the method of construction such transformations is pointed.

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