In this paper, we propose a computational framework to run reproducible simulation on heterogeneous computing environments for social simulation using random number. From simulation results using various parameter settings, we focus not only on average results but also a unique agent or trial. To find unique trials from a number of simulation results, we need to accelerate large-scale simulations and multi-trial simulations. However, we observe different simulation results using parallel computing because random number sequences vary by the number of parallelism. We must ensure the reproducibility of simulations when we try to analyze simulation results in detail. In this paper, we propose a computational framework to run reproducible simulations using unparalleled CPU, paralleled CPU and GPU. Our experimental results show that we get the same simulation results in heterogeneous computing environments.

This paper proposes an optimization method of integrating part selection and production scheduling under mass customization. The proposal method uses a combinatorial auction with pheromone modeled on a negotiation process between manufacturer and customers toward optimal plans. Especially, this paper focuses on cooperation among customers. To make a bid, bidders memorize and share the process of negotiation using three pheromones. Numerical examples are conducted to evaluate effectiveness of evaporation and diffusion which are characteristics of pheromone, and of share range of pheromone.

This paper discusses a design method for controlling a discrete-valued input system with dynamic quantizer, where the control input is saturated. In such a control system, the control input can be excessive because of the dynamics of the quantizer. Therefore, an anti-windup compensator is designed by solving a linear matrix inequality equivalent to robust stability condition for input saturation error. Finally, numerical examples are shown to demonstrate the validity of the proposed method.

This paper is concerned with nonlinear output feedback control for the average output voltage of boost converters through their discretized bilinear models. We first propose a bilinear observer synthesis method for the discretized bilinear model by effectively using the fact that the control input corresponds to the duty ratio and hence has upper and lower bounds whose values can be exploited in the synthesis. We next employ a kind of Lyapunov method for the synthesis of state-feedback controllers with integral compensation. Here, the integral compensation aims at making the (approximate) average output voltage track its reference input and is introduced with its implementability taken into account under limited data acquisition performance and operational speed of digital signal processors. Finally, we carry out control experiments with the combined use of the designed state feedback and bilinear observer and verify the effectiveness of the overall control strategy.

In this paper, we explore H₂ analysis techniques of general, not necessarily positive, discrete-time linear time-invariant (LTI) systems by means of positive system theory. While externally positive systems are a particular class of systems whose impulse responses take only nonnegative values, we often encounter such impulse responses even in the analysis of general LTI systems. A typical example is the computation of the H₂ norm where we focus on squared impulse responses. In view of this observation, we first clarify that we can construct an SISO externally positive system whose impulse response is given by the square of the impulse response of a given SISO LTI system. This system conversion allows us to reduce the H₂ norm computation problem of a general LTI system to the l_∞-induced norm computation problem (or l₁ problem in short) of the resulting externally positive system. It also turns out that this problem reduction enables us to derive various alternative formulas for the H₂ norm of general discrete-time LTI systems.