A Constructive Positive Realization with Sparse Matrices for a Continuous-Time Positive Linear System. (24th December 2013)

• Record Type: Journal Article
• Authors: Kim, Kyungsup
• Other Names: Chang Yong-Kui Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-12-24
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/878146
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper discusses a computational method to construct positive realizations with sparse matrices for continuous-time positive linear systems with multiple complex poles. To construct a positive realization of a continuous-time system, we use a Markov sequence similar to the impulse response sequence that is used in the discrete-time case. The existence of the proposed positive realization can be analyzed with the concept of a polyhedral convex cone. We provide a constructive algorithm to compute positive realizations with sparse matrices of some positive systems under certain conditions. A sufficient condition for the existence of a positive realization, under which the proposed constructive algorithm works well, is analyzed.