Analysis of discontinuous large-scale systems: stability, transient behaviour and trajectory bounds
Analysis of discontinuous large-scale systems: stability, transient behaviour and trajectory bounds
复制标题
不连续大型系统分析：稳定性、瞬态行为和轨迹边界
DOI：
10.1080/00207727108920179
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发表时间：
1971
影响因子：
4.3
通讯作者：
D. Porter
中科院分区：
文献类型：
--
作者：
A. Michel;D. Porter
在稳定性框架下，研究了简单和大规模关联不连续系统的轨迹界。在这样做时，稳定性是根据状态空间在无限时间间隔（实际稳定性）和有限时间间隔（有限时间稳定性）上的预先指定的子集来定义的。所考虑的不连续系统是那些由常不连续微分方程描述的系统，这些方程可以是自治的或非自治的，线性的或非线性的，非强迫的或受持续扰动的影响的，简单的或相互关联的。在所有的情况下，它是假设微分方程具有解决方案的意义下Filippov。所得结果给出了实用和有限时间稳定的充分条件。互联系统被视为他们的子系统。为了证明所涉及的方法，考虑了一些例子。
The trajectory bounds of simple and large-scale interconnected discontinuous systems are treated within a stability framework. In doing so, stability is defined in terms of pre-specified subsets of the state space over an infinite time interval (practical stability) and over a finite time interval (finite time stability). The discontinuous systems considered are those which are described by ordinary discontinuous differential equations which may be autonomous or non-autonomous, linear or non-linear, unforced or under the influence of persistent disturbances, simple or interconnected. In all cases it is assumed that the differential equation possesses solutions in the sense of Filippov. The results obtained yield sufficient conditions for practical and finite time stability. The interconnected systems are treated in terms of their subsystems. In order to demonstrate the methods involved, some examples are considered.