Dynamic systems that exhibit non-negativity in their responses to non-negative inputs are referred to as positive systems. These systems have a wide range of applications, including pharmacology, epidemiology, biology, and communication networks. This research focuses on designing non-negative systems using geometric programming, a broader class of optimization methods, instead of the traditionally used linear programming approaches.
References
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| [1] | M. Ogura and C. F. Martin, “Stability analysis of positive semi-Markovian jump linear systems with state resets,” SIAM Journal on Control and Optimization, vol. 52, pp. 1809-1831, 2014. [ DOI | arXiv | http ] |