Loading...

Decomposition of the time delay systems with one delay: The simultaneous similarity of two matrices

Mesbahi, A ; Sharif University of Technology | 2013

535 Viewed
  1. Type of Document: Article
  2. DOI: 10.1109/ELECO.2013.6713890
  3. Publisher: IEEE Computer Society , 2013
  4. Abstract:
  5. The time delay equations are frequently used to model real systems since they can describe the after-effect phenomenon. It is usually difficult to analyze the properties of time delay systems. Thus it would be beneficial to make the systems as simple as possible. For this purpose, the decomposition of the systems into some separate or cascaded sub-systems with smaller dimension is introduced as the solution of the mentioned complex task. The decomposition of the time delay systems with one delay is directly related to simultaneous similarity of two matrices. In this regard, necessary and sufficient conditions are derived for the existence of a common similar block diagonal or triangular form for two matrices. Finally, the applications of the obtained results for time delay systems are illustrated via two examples
  6. Keywords:
  7. Electronics engineering ; After-effect ; Block diagonal ; Complex task ; Delay equations ; Real systems ; Sub-systems ; Time-delay systems ; Time delay
  8. Source: ELECO 2013 - 8th International Conference on Electrical and Electronics Engineering, Bursa ; 2013 , Pages 487-491 ; 9786050105049 (ISBN)
  9. URL: http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=6713890&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D6713890