Publications
Scientific publications
Kirillov A.N.
On the stabilization of the linear hybrid system structure
// Issues of analysis. Т.3. № 2. 2014. Pp. 52-58
Keywords: stabilization, variable structure, hybrid system
The linear control hybrid system, consisting of a finite set of subsystems (modes) having different dimensions, is considered. The moments of reset time are determined by some complementary function - evolutionary time. This function satisfies the special complementary ordinary differential equation.
The mode stabilization problem is solved for some class of piece-wise linear controls. The method of stabilization relies on the set of invariant planes, the existence of which is due to the special form of the hybrid system.
The mode stabilization problem is solved for some class of piece-wise linear controls. The method of stabilization relies on the set of invariant planes, the existence of which is due to the special form of the hybrid system.
Last modified: May 20, 2015