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Transactions of the Institute of Systems, Control and Information Engineers Vol. 36 (2023), No. 5

ISIJ International
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ONLINE ISSN: 2185-811X
PRINT ISSN: 1342-5668
Publisher: THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)

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Transactions of the Institute of Systems, Control and Information Engineers Vol. 36 (2023), No. 5

Derivation of Local Bifurcation Points in Autonomous Systems by Using Particle Swarm Optimization

Tomoki Gotoh, Hiroaki Kurokawa, Haruna Matsushita, Takuji Kousaka

pp. 121-129

Abstract

This study extends the particle swarm optimization (PSO)-based bifurcation points derivation method to the autonomous systems. PSO avoids the need to carefully set the initial parameters of the dynamical system or to differentiate the objective function. In addition, it can derive the bifurcation points quickly and accurately, and its efficacy has previously been demonstrated for discrete dynamical systems and non-autonomous systems but not for autonomous systems. This paper proposes an extended PSO-based method for autonomous systems by incorporating the computation of a Poincaré map and a bisection method in the algorithm. To validate the effectiveness of the proposed method, it was applied to deriving the local bifurcation points of a three-dimensional autonomous system to confirm and demonstrate its effectiveness.

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Article Title

Derivation of Local Bifurcation Points in Autonomous Systems by Using Particle Swarm Optimization

Nonlinear Stochastic Parameter Estimation of a Random Duffing–van der Pol Oscillator Using Fokker–Planck Type Residual

Katsutoshi Yoshida, Yoshikazu Yamanaka

pp. 130-135

Abstract

In this study, our proposed parameter estimation method is furtherly tested on a nonlinear random dynamical system. Our method assumes that a probability density function (PDF) data is measured from a random dynamical system whose model structure is known as a stochastic differential equation but having unknown parameter values. The Fokker–Planck equation (FPE) is derived from the random dynamical system with the help of Itô calculus. The measured PDF data and candidate parameter values are substituted into the FPE to calculate an FPE residual. The residual is minimized by our method to estimate the parameter values. The results of application to a random Duffing–van der Pol system show that our method is capable of estimating unknown parameters even when the system is nonlinear.

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Article Title

Nonlinear Stochastic Parameter Estimation of a Random Duffing–van der Pol Oscillator Using Fokker–Planck Type Residual

Solving the Steiner Tree Problem in Graphs with Chaotic Neural Networks

Misa Fujita, Tatsuya Saito

pp. 136-143

Abstract

Chaotic neural networks (ChNNs) provide an effective method to solve combinatorial optimization problems, because their chaotic behavior is considered to encourage smooth escape from local optima. However, whether ChNN models exhibit chaotic behavior when searching for solutions remains unknown, which means there may be other reasons for their good performance. From this perspective, we analyzed the deterministic features of a chaotic time series from the transition of the objective function value. The results obtained by the E1, IDNP, and R series indicate that the transitions of the objective function value for solving the Steiner tree problem in graphs exhibited weak determinism, similar to that of the transition of a chaotic neuron’s internal state in a plain ChNN.

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Solving the Steiner Tree Problem in Graphs with Chaotic Neural Networks

Evolutionary Localization of Illuminance Measurement Robot Using Known Map and Kinematic Model

Kohei Oshio, Makoto Tsujimoto, Kazuhiko Taniguchi, Naoyuki Kubota

pp. 144-153

Abstract

In recent years, shortages of worker caused by declining birthrate and aging population have been seen as serious problem in various industries. So using of robots has been considered for labor saving and shortening of working hours. Especially in the construction industry, the illuminance measurement work is a heavy load for the worker because this work requires measurement, recording, data organization, etc. at night when influence of light from outside is small. Therefore it is hoped to develop a robot that can replace the illuminance measurement work at indoor construction sites. We have developed the illuminance measurement robot and have shown its effectiveness.

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Evolutionary Localization of Illuminance Measurement Robot Using Known Map and Kinematic Model

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