On stability of time-varying linear differential-algebraic equations
On stability of time-varying linear differential-algebraic equations
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DOI：
10.1080/00207179.2013.773087
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发表时间：
2013-05
影响因子：
2.1
通讯作者：
T. Berger;A. Ilchmann
中科院分区：
文献类型：
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作者：
T. Berger;A. Ilchmann
我们发展了一个时变线性微分代数方程（DAE）的稳定性理论。众所周知的常微分方程的稳定性概念推广到DAE和特点。李雅普诺夫的直接方法推导以及匡威的稳定性定理。更强的结果是实现DAE，这是转移到标准的规范形式，在这种情况下，广义转移矩阵的存在被利用。
We develop a stability theory for time-varying linear differential algebraic equations (DAEs). Well-known stability concepts of ordinary differential equations are generalised to DAEs and characterised. Lyapunov’s direct method is derived as well as the converse of the stability theorems. Stronger results are achieved for DAEs, which are transferable into standard canonical form; in this case the existence of the generalised transition matrix is exploited.