Cortés JC, Navarro-Quiles A, Romero JV, Roselló MD, Zuazua E (2019)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2019
DOI: 10.1016/j.jfranklin.2020.06.005
In this paper we perform a complete probabilistic study of a finite dimensional
linear control system with uncertainty. The controllability condition with random initial data and final target is analysed. To conduct this investigation we
determine the first probability density function of the control and the solution
of the random control problem under different scenarios. To achieve this objective, Random Variable Transformation technique is extensively applied. Several
examples illustrate the theoretical results.
APA:
Cortés, J.C., Navarro-Quiles, A., Romero, J.V., Roselló, M.D., & Zuazua, E. (2019). Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions. Journal of the Franklin Institute-Engineering and Applied Mathematics. https://doi.org/10.1016/j.jfranklin.2020.06.005
MLA:
Cortés, Juan C., et al. "Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions." Journal of the Franklin Institute-Engineering and Applied Mathematics (2019).
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