摘要
一台多状态设备的指数的稳定性在这篇论文被讨论。我们在场 C 0-semigroup 由系统操作符产生了，这是伪协议；无法缩减。0 是系统操作员的一个简单特征值，这被知道。在有这的联合，我们获得时间依赖者答案指数地收敛到不变的答案，它是相应于简单特征值的积极 eigenfuction 0。
The exponential stability of a multi-state device is discussed in this paper. We present that the Co-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 O.
基金
The research is supported by Beijing Institute of Technology Foundation under Grant No.20060742011.
关键词
CO半群
指数稳定性
多状态装置
系统算子
C0-semigroup, exponential stability, irreducibility, quasi-compact.
