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By Choi Sang Long

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Cell mapping-based schemes have also been employed for the design and evaluation of optimal controllers (Hsu 1985; Hu et al. 1994a,b; Papa et al. 1997; Martı´nez-Marı´n and Zufiria 1999; Zufiria and Martı´nez-Marı´n 2003), but only in cases where the cost functional can be approximated and optimized via local procedures. In this chapter, a cell mapping-based global performance optimal control is presented. The rest of this chapter is organized as follows. The following section presents the problem statement as well as the proposed procedure to address the problem.

In this chapter, several computational schemes are considered for maximizing the size of domains of attraction in certain parametrized dynamical systems. Cell mapping (CM) techniques (Hsu 1987) are employed to estimate the size of those regions, as presented in Castillo and Zufiria (2000, 2002, 2011). A genetic algorithm, a Kiefer–Wolfowitz stochastic approximation procedure and several neural network-based schemes are proposed as optimization methods for determining the optimal parameter values.

6 Representation of function JCM(Á) the location of such minimum could be improved via a further analysis focused in the interval [0. 1, 1]. In this case, the obtained values are in [0. 17, 0. 23] with function values in the range [12. 53, 12. 66]. These latest values are good approximations of the minimum in I ¼ [0. 1, 5]. The results of the maximizing process and the minimizing (general and focused) process are also represented in Fig. 6. The domain obtained for b ¼ 5, corresponding to the maximum value, appears in Fig.

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An analysis of the relationship between HR professionals’ competencies and firms’ performance in Malaysia by Choi Sang Long


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