Towards a practical reachability test for dynamic systems under process faults

The main objective of this paper is to provide a practical test for checking system reachability under process faults. Taking into account the unappealing phenomenon of faults, it is assumed that the knowledge about them is limited, i.e. they are known up to some confidence interval. Thus, the main objective of this paper is to provide a computational algorithm that can be used for settling such a robust reachability challenge. For that purpose, very useful mathematical tools are recalled, which are called P- and block P-matrices. Subsequently, a new tool is developed, which is able to check if a given matrix is P- or block P-one. The proposed approach is characterized by low computational burden comparing to those presented in the literature. Based on it, a new reachability test is developed for systems under process faults. The final part of this paper shows experimental results, which clearly expose the effectiveness of the proposed approach.

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