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Finite-time Control of Discrete-time Positive Linear Systems via Convex Optimization

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Document pages: 6 pages

Abstract: In this paper, we study a class of finite-time control problems fordiscrete-time positive linear systems with time-varying state parameters.Although several interesting control problems appearing in population biology,economics, and network epidemiology can be described as the class offinite-time control problems, an efficient solution to the control problem hasnot been yet found in the literature. In this paper, we propose an optimizationframework for solving the class of finite-time control problems via convexoptimization. We illustrate the effectiveness of the proposed method bynumerical simulation in the context of dynamical product development processes.

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