摘要
The exponential stability of a multi-state device is discussed in this paper. We present that the C 0-semigroup generated by the system operator is quasi-compact and irreducible. It is known that 0 is a simple eigenvalue of the system operator. In combination with this, we obtain that the time-dependent solution exponentially converges to the steady-state solution, which is the positive eigenfuction corresponding to the simple eigenvalue 0.
| 源语言 | 英语 |
|---|---|
| 页（从-至） | 437-443 |
| 页数 | 7 |
| 期刊 | Journal of Systems Science and Complexity |
| 卷 | 20 |
| 期 | 3 |
| DOI | |
| 出版状态 | 已出版 - 9月 2007 |