| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 792084 | Journal of Applied Mathematics and Mechanics | 2008 | 8 Pages |
Abstract
A problem which arises when estimating the attainability domains of linear dynamical systems by ellipsoids is investigated in a short time interval in the case when the initial position of the system in phase space is known precisely for some at least coordinates. A method is proposed which allows one to avoid problems associated with the degeneracy of the right-hand sides of the differential equations of the locally optimal ellipsoidal approximation. The mathematical meaning of these equations is made more precise in the case of the minimization of the phase volume. An example is given.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
A.M. Shmatkov,