Please use this identifier to cite or link to this item:
|Title:||Geometric analysis of reachability and observability for impulsive systems on complex field|
|Source:||Zhao, S., Sun, J., Lin, H. (2012). Geometric analysis of reachability and observability for impulsive systems on complex field. Journal of Applied Mathematics 2012 : -. ScholarBank@NUS Repository. https://doi.org/2012/876120|
|Abstract:||Nowadays, quantum systems have become one of the focuses of the ongoing research and they are typical complex systems, whose state variables are defined on the complex field. In this paper, the issue of reachability and observability is addressed for a class of linear impulsive systems on complex field, for simplicity, complex linear impulsive systems. This kind of time-driven impulsive systems allows free impulsive instants, which leads to the limitation of using traditional definitions of reachability and observability directly. New notations about the span reachable set and unobservable set are proposed. Sufficient and necessary conditions for span reachability and observability of such systems are established. Moreover, the explicit characterization of span reachable set and unobservable set is presented by geometric analysis. It is pointed out that the geometric conditions are equivalent to the algebraic ones in known results for special cases. Numerical examples are also presented to show the effectiveness of the proposed methods. Copyright © 2012 Shouwei Zhao et al.|
|Source Title:||Journal of Applied Mathematics|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
WEB OF SCIENCETM
checked on Nov 23, 2017
checked on Dec 11, 2017
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.