Kravchenko N. Partial stabilization of dynamical systems by discontinuous and impulsive control with application to the problems of rigid bodies mechanics

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U005089

Thesis Registration Form

0409U005089.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

11-11-2009

Specialized Academic Board

Д.11.193.01

Essay

The thesis is devoted to stabilization problems of dynamic systems with respect to part of variables. The method of dynamic feedback construction for linear and nonlinear systems which admit exact linearization is offered. This method uses function of controllability and constructed feedback stabilizes the system in finite time. The necessary condition for partial stabilizability of the autonomous nonlinear system in the class of discontinuous bounded feedback laws is obtained. The sufficient condition of stabilizability of the dynamic systems with the impulsive control on part of variables is proved. A partial stabilization problem for nonholonomic mechanical systems is considered and solved for several examples by impulsive control.

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Files

DIS.pdf

aref.doc

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