• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文会议>IFIP TC 7 conference on system modeling and optimization >A Note on Linear Differential Variational Inequalities in Hilbert Space
【24h】

A Note on Linear Differential Variational Inequalities in Hilbert Space

机译：关于希尔伯特空间中线性微分变分不等式的一个注记

获取原文
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Recently a new class of differential variational inequalities has been introduced and investigated in finite dimensions as a new modeling paradigm of variational analysis to treat many applied problems in engineering, operations research, and physical sciences. This new subclass of general differential inclusions unifies ordinary differential equations with possibly discontinuous right-hand sides, differential algebraic systems with constraints, dynamic complementarity systems, and evolutionary variational systems. In this short note we lift this class of nonsmooth dynamical systems to the level of a Hilbert space, but focus to linear input/output systems. This covers in particular linear complementarity systems where the underlying convex constraint set in the variational inequality is specialized to an ordering cone. The purpose of this note is two-fold. Firstly, we provide an existence result based on maximal monotone operator theory. Secondly we are concerned with stability of the solution set of linear differential variational inequalities. Here we present a novel upper set convergence result with respect to perturbations in the data, including perturbations of the associated linear maps and the constraint set.
机译：最近，引入了一类新的微分变分不等式，并在有限维中进行了研究，作为一种新的变分分析建模范例，可以处理工程，运筹学和物理科学中的许多应用问题。通用微分包含的新子类将具有可能不连续的右侧的常微分方程，具有约束的微分代数系统，动态互补系统和演化变分系统统一起来。在本文中，我们将这类非光滑动力系统提升到希尔伯特空间的水平，但将重点放在线性输入/输出系统上。这尤其涵盖了线性互补系统，其中在变分不等式中设置的基础凸约束条件专门用于有序锥。该注释的目的是双重的。首先，我们基于最大单调算子理论提供了一个存在性结果。其次，我们关注线性微分变分不等式解集的稳定性。在这里，我们针对数据的扰动，包括相关线性映射和约束集的扰动，提出了一种新颖的上集收敛结果。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号