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Semicopositive Linear Complementarity Systems by Jinglai Shen; Jong-Shi Pang is a Engineering article available to read on EtoBox.
What is Semicopositive Linear Complementarity Systems about?
## Abstract Inspired by the dynamic complementarity problem introduced by Mandelbaum, we define several matrix classes in terms of some integral conditions and discuss their connection with the existing class of strictly semicopositive matrices in linear complementarity theory. Using a time‐stepping approximation scheme, we establish the existence of an integrable solution to a class of index‐one linear complementarity systems (LCSs) involving these matrices, and that such a solution is ‘short‐time’ unique if the initial state belongs to a semiobservable cone defined in the recent paper (__IEEE Trans. Autom. Control__ 2007, in press). In contrast to the existing well‐posedness theory for the LCS, our result is based on a well‐known matrix property that has not been used in the LCS literature before. Copyright © 2007 John Wiley & Sons, Ltd.
Who reads Semicopositive Linear Complementarity Systems?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- Jinglai Shen; Jong-Shi Pang
- Publisher
- John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 1049-8923)
- Published
- 2007
- Language
- EN
- Field
- Engineering (Physical Sciences)