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This paper deals with a PID control problem with constraints on sensitivity and complementary sensitivity functions, and proposes a PID controller tuning method based on the Covariance Matrix Adaptation Evolution Strategy (CMA-ES). Since the original CMA-ES is developed for an optimization problem without constraints, the PID control problem is transformed into an optimization problem without constraints...
We often use fuzzy graph to analyze inexact information such as instruction/cognition sequence, sociometric structure, opinion poll and so on. Concerning the cluster analysis of a fuzzy graph, it is important to decide the optimal cutting level as to a partition tree. In this paper, we would not only discuss our decision analysis of partition tree, but also we would illustrate its practical effectiveness...
This paper investigates the fuzzy clustering level analysis using AIC (Akaike's information criterion) method for small size samples. Since AIC is obtained by the asymptotic normality for the maximal likelihood estimator, it is difficult to apply it to small size samples. Therefore, in the paper, we would show that the AIC method can be applied to large size samples which are constructed by a simulation...
We investigate the mean square error of the Euler–Maruyama type approximate solution of the multi dimensional reflecting geometrical Brownian motion using the penalty method. Furthermore we show some examples of it with several boundaries.
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