Reference:
S. Markkassery, T. van den Boom, and B. De Schutter, "Eigenvalues of time-invariant max-min-plus-scaling discrete-event systems," Proceedings of the 2024 European Control Conference, Stockholm, Sweden, pp. 2017-2022, June 2024.Abstract:
This paper proposes an approach to find the eigenvalues and eigenvectors of a class of autonomous max-min-plus-scaling (MMPS) systems. First we show that time-invariant, monotone and non-expansive MMPS systems with only time variables has a unique structural eigenvalue and eigenvector under some conditions. Then, we propose a mixed-integer linear programming (MILP) algorithm to calculate the eigenvalue and the corresponding eigenvector for such systems. Finally, we present a modified linear programming (LP) algorithm to find all the eigenvalues of a general time-invariant MMPS system.Downloads:
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