Technical communique: A note on the existence of a solution and stability for Lipschitz discrete-time descriptor systems
Technical communique: A note on the existence of a solution and stability for Lipschitz discrete-time descriptor systems
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DOI：
10.1016/j.automatica.2011.04.001
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发表时间：
2011-07
期刊：
影响因子：
6.4
通讯作者：
G. Lu;D. Ho;Lei Zhou
中科院分区：
文献类型：
--
作者：
G. Lu;D. Ho;Lei Zhou
本文讨论了Lipschitz离散广义系统解的存在唯一性和稳定性。利用不动点原理，通过一个矩阵不等式给出了一个判别准则，该判别准则保证了解的存在唯一性。此外，还给出了一个充分条件，以确保解存在于任何相容的初始条件下，同时系统是全局指数稳定的。结果表明，本文提出的判据易于验证，且与给定系统分解矩阵的选择无关。最后，通过一个数值例子说明了该方法的有效性.
This paper addresses the existence and uniqueness of a solution and stability for Lipschitz discrete-time descriptor systems. By means of the fixed point principle, a criterion is presented via a matrix inequality, and the criterion guarantees the existence and uniqueness of a solution. In addition, a sufficient condition is also presented to ensure that the solution exists for any compatible initial condition and the system is globally exponentially stable simultaneously. It is shown that the criterion presented in this paper is easy to verify and independent of the choices of decomposition matrices for the given system. Finally, the approach is illustrated by a numerical example.