Passivity and complementarity

• 成果类型: Article
• 署名作者: Camlibel, M. K.; Iannelli, L.; Vasca, F.
• 署名单位: University of Groningen; Dogus University; University of Sannio
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-013-0678-4
• 发表日期: 2014
• 页码: 531-563
• 关键词: linear-systems; CONTROLLABILITY; STABILITY

摘要

This paper studies the interaction between the notions of passivity of systems theory and complementarity of mathematical programming in the context of complementarity systems. These systems consist of a dynamical system (given in the form of state space representation) and complementarity relations. We study existence, uniqueness, and nature of solutions for this system class under a passivity assumption on the dynamical part. A complete characterization of the initial states and the inputs for which a solution exists is given. These initial states are called consistent states. For the inconsistent states, we introduce a solution concept in the framework of distributions.