2015年12月
Stability criteria with nonlinear eigenvalues for diagonalizable nonlinear systems
SYSTEMS & CONTROL LETTERS
- ,
- 巻
- 86
- 号
- 開始ページ
- 41
- 終了ページ
- 47
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.sysconle.2015.10.001
- 出版者・発行元
- ELSEVIER SCIENCE BV
Stability of the linear system, especially the diagonalizable system, can be verified by computing the signs of the real parts of its eigenvalues. In this paper, we generalize this result to the diagonalizable nonlinear system in terms of nonlinear eigenvalues. According to the main results, the unique equilibrium point of the diagonalizable system is globally asymptotically stable if a specific set of nonlinear eigenvalues is not positive at each point in the state space. (C) 2015 Elsevier B.V. All rights reserved.
- リンク情報
- ID情報
-
- DOI : 10.1016/j.sysconle.2015.10.001
- ISSN : 0167-6911
- eISSN : 1872-7956
- Web of Science ID : WOS:000366342100006