Although the “neural-gas” network proposed by Martinetz et al. in 1993 has been proven for its optimality in vector quantizer design and has been demonstrated to have good performance in time-series prediction, its high computational complexity (N logN) makes it a slow sequential algorithm. In this letter, we suggest two ideas to speedup its sequential realization: 1) using a truncated exponent...

Optimal control is a very important field of study not only in theory but in applications, and stochastic optimal control is also a significant branch of research in theory and applications. Based on the concept of fuzzy process, a fuzzy optimal control problem presented. Applying Bellman’s Principle of Optimality, the principle of optimality for fuzzy optimal control is derived, and then a fun...

The paper addresses realization theory of discrete-time linear hybrid systems without guards (abbreviated by DTHLS ). We present necessary and sufficient conditions for existence of a realization, and a characterization of minimality. In addition, we present basic results on partial realization theory of DTHLSs along with a realization algorithm. We also sketch the application of the obtained r...

Consider the problem of discriminating between two polynomial regression models on the q-cube [−1, 1] , q ≥ 2, and estimating parameters in the models. To find designs which are efficient for both model discrimination and parameter estimation, Zen and Tsai (2002) proposed a multiple-objective optimality criterion for the univariate case. In this work, taking the same Mγ-criterion which uses wei...

Optimal control is an important field of study both in theory and in applications. Based on uncertainty theory, an expected value model of uncertain optimal control problem was studied by Zhu. In this paper, an optimistic value model for uncertain optimal control problem is investigated. Applying Bellman’s principle of optimality, the principle of optimality for the model is presented. And then...