Well-posedness analysis of switch-driven hybrid systems
Well-posedness analysis of switch-driven hybrid systems
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DOI：
10.1109/acc.2001.945825
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发表时间：
2001-06
期刊：
影响因子：
--
通讯作者：
J. Imura
中科院分区：
文献类型：
--
作者：
J. Imura
研究了一类具有二进制开关的多模态混杂系统在自治开关作用下的稳定性问题，讨论了该类系统的适定性问题（解的存在性和唯一性）.首先，一个新的离散状态的转移规则的概念，称为开关为基础的转移规则，介绍。指出了这种新的转移规则下的解的行为与通常用于分段仿射系统类的基于模式的转移规则下的解的行为之间的一些差异。其次，根据双峰系统的适定性，给出了多模态系统在Caratheodory意义下适定性的一个充分条件。
A class of multimodal hybrid systems with binary-switches that act under autonomous switchings is studied, and the well-posedness problem (existence and uniqueness of solutions) of such systems is addressed. First, the notion of a new transition rule of the discrete state, called the switch-based transition rule, is introduced. Several differences between the behavior of solutions under this new transition rule and that under the mode-based transition rule usually used in the class of piecewise affine systems, are pointed out. Next, a sufficient condition for such a multi-modal system to be well-posed in the sense of Caratheodory is given in terms of well-posedness of bimodal systems.