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A Constructive Positive Realization with Sparse Matrices for a Continuous-Time Positive Linear System

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  • Kyungsup Kim

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.

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  • Kyungsup Kim, 2013. "A Constructive Positive Realization with Sparse Matrices for a Continuous-Time Positive Linear System," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, December.
    • Handle: RePEc:hin:jnlmpe:878146
    DOI: 10.1155/2013/878146
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