|
|||||
|
|
Non-singular locally optimal ellipsoidal approximation of the estimate of the states of linear systems |
|
| Authors: | A.M. Shmatkov |
| Affiliation: | 1. School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran;2. Department of Industrial Engineering, Esfarayen University of Technology, Esfarayen, 9661998195, Iran;3. School of Management, University of Tehran, Tehran, Iran;1. Department of Mechanical Engineering and Advanced Material Research Centre, University of Malaya, 50603, Kuala Lumpur, Malaysia;2. Intelligent Polymer Research Institute, ARC Centre of Excellence for Electromaterials Science, University of Wollongong, NSW, 2522, Australia;3. DTU Nanotech, Department of Micro- and Nanotechnology, Center for Nanomedicine and Theranostics, Technical University of Denmark, 2800, Kgs. Lyngby, Denmark |
| 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. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |