Transverse function method in stabilization problems for bilinear systemsстатья
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Дата последнего поиска статьи во внешних источниках: 9 октября 2015 г.
Аннотация:We consider the stabilization problem for a homogeneous bilinear system with m inputs. The transverse function method permits one to extend the state vector and transform the coordinates and inputs so as to reduce the original system to a form containing l-m additional controls, where l is the dimension of the matrix Lie algebra generated by the matrices of the system. In many cases, such a transformation permits one to solve the stabilization problem for the original system. We especially note a particular case in which one can construct a stabilizing open-loop control, i. e., avoid using state feedback.