Linear Complementarity Systems with Singleton Properties: Non-Zenoness
Jinglai Shen; Jong-Shi Pang
American Control Conference, 2007. ACC apos;07
Volume , Issue , 9-13 July 2007 Page(s):2769 - 2774
Digital Object Identifier   10.1109/ACC.2007.4282333
Summary:Extending our previous work on linear complementarity systems (LCSs) with the P-property, this paper establishes that a certain class of LCSs of the positive semidefinite-plus type does not have Zeno states. An intrinsic feature of such an LCS is that it has a unique continuously differentiable state solution for any initial condition, albeit the associated algebraic linear complementarity problem has non- unique solutions. Applications of our results to constrained dynamic optimization, and more generally, to differential afHne complementarity systems are discussed. The cornerstone of our proof of the main non-Zeno result is a recent theory for conewise linear systems.

» View citation and abstract

Log in by entering your IEEE Web Account Username and Password.

IEEE Communications Society members: If you subscribe to the IEEE Electronic Periodicals Package or IEEE Electronic Periodicals Package Plus, you must access your subscription at www.comsoc.org.

Check with your librarian, information professional, or system manager to determine if you need to log in. Please complete the online Technical Support Form if you need assistance.

Select the Purchase History link to access the document. You will have 5 Days after purchase to access the Full Text PDF. Please complete the online Technical Support Form if you need assistance.

• Search and access Abstract records free of charge
• Register for table of contents alerts
• Purchase Full Text PDF documents

» Learn more about subscription options or how to become an IEEE Member.