On Sufficient Conditions for Mixed Monotonicity
On Sufficient Conditions for Mixed Monotonicity
复制标题
关于混合单调性的充分条件
DOI：
10.1109/tac.2019.2909815
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发表时间：
2018
影响因子：
6.8
通讯作者：
N. Ozay
中科院分区：
文献类型：
--
作者：
Liren Yang;Oscar Mickelin;N. Ozay
混合单调系统是一类重要的非线性系统，近年来在基于抽象的控制设计领域受到关注。在文献中存在稍微不同的定义，它仍然是一个挑战，以验证一般的系统的混合单调性。本文首先阐明了混合单调系统现有不同定义之间的关系，然后给出了定义在欧氏空间上的混合单调函数的两个充分条件。这些充分条件比现有的控制文献中的条件更一般，它们表明混合单调性是一个非常一般的性质。一些讨论所提出的充分条件的计算有用性。
Mixed monotone systems form an important class of nonlinear systems that have recently received attention in the abstraction-based control design area. Slightly different definitions exist in the literature, and it remains a challenge to verify mixed monotonicity of a system in general. In this paper, we first clarify the relation between different existing definitions of mixed monotone systems, and then give two sufficient conditions for mixed monotone functions defined on Euclidean space. These sufficient conditions are more general than the ones from the existing control literature, and they suggest that mixed monotonicity is a very generic property. Some discussions are provided on the computational usefulness of the proposed sufficient conditions.