Linear passive systems and maximal monotone mappings

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• 作者：M. K. Camlibel ; J. M. Schumacher
• 刊名：Mathematical Programming
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：157
• 期：2
• 页码：397-420
• 全文大小：570 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Calculus of Variations and Optimal Control
  Mathematics of Computing
  Numerical Analysis
  Combinatorics
  Mathematical and Computational Physics
  Mathematical Methods in Physics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1436-4646
• 卷排序：157

文摘

This paper deals with a class of dynamical systems obtained from interconnecting linear systems with static set-valued relations. We first show that such an interconnection can be described by a differential inclusions with a maximal monotone set-valued mappings when the underlying linear system is passive and the static relation is maximal monotone. Based on the classical results on such differential inclusions, we conclude that such interconnections are well-posed in the sense of existence and uniqueness of solutions. Finally, we investigate conditions which guarantee well-posedness but are weaker than passivity.Mathematics Subject Classification34A1234A6047H0447H0590C3393C05