in this paper, the problems of robust stabilization and$h_{infty}$ control for uncertain stochastic systems withmultiple time delays represented by the takagi-sugeno (t-s) fuzzymodel have been studied. by constructing a new lyapunov-krasovskiifunctional (lkf) and using the bounding techniques, sufficientconditions for the delay-dependent robust stabilization and $h_{infty}$ control scheme are p...

We show how stiffness manifests itself in the simulation of chemical reactions at both the continuous-deterministic level and the discrete-stochastic level. Existing discrete stochastic simulation methods, such as the stochastic simulation algorithm and the ~explicit! tau-leaping method, are both exceedingly slow for such systems. We propose an implicit tau-leaping method that can take much lar...

Firstly, the Markovian stochastic Schrödinger equations are presented, together with their connections with the theory of measurements in continuous time. Moreover, the stochastic evolution equations are translated into a simulation algorithm, which is illustrated by two concrete examples — the damped harmonic oscillator and a two-level atom with homodyne photodetection. Then, we consider how t...

seismic inversion is a method that extracts acoustic impedance data from the seismic traces. sourcewavelets are band-limited, and thus seismic traces do not contain low and high frequency information.therefore, there is a serious problem when the deterministic seismic inversion is applied to real dataand the result of deterministic inversion is smooth. low frequency component is obtained from w...

This document briefly introduces parallel computations on graphics processing units (GPUs) and the implemented exact stochastic simulation algorithms (i) the stochastic simulation algorithm (SSA) byGillespie [5], (ii) the logarithmic direct method (LDM) by Li and Petzold [10] and (iii) the next reaction method of Gibson and Bruck [3]. The LDM and NRM are more efficient reformulations of the SSA...

The aim of seismic inversion is mapping all of the subsurface structures from seismic data. Due to the band-limited nature of the seismic data, it is difficult to find a unique solution for seismic inversion. Deterministic methods of seismic inversion are based on try and error techniques and provide a smooth map of elastic properties, while stochastic methods produce high-resolution maps of el...

Community detection is a task of fundamental importance in social network analysis. Community structures enable us to discover the hidden interactions among the network entities and summarize the network information that can be applied in many applied domains such as bioinformatics, finance, e-commerce and forensic science. There exist a variety of methods for community detection based on diffe...

The slow-scale stochastic simulation algorithm (ssSSA) proposed in [J. Chem. Phys. 122, 014116 (2005)] and the nested stochastic simulation algorithm (nSSA) proposed in [J. Chem. Phys. 123,194107 (2005)] are closely related approximate simulation procedures aimed at speeding up the stochastic simulation of stiff chemical systems, i.e., systems that evolve through fast and slow dynamical modes w...

Scheduling is a core activity in the manufacturing business. It assists with the efficient and effective utilisation of capital-intensive resources and increased throughput, thus increasing profitability. Simulation is appealing in manufacturing, as it can realistically imitate dynamic, stochastic processes while being descriptive in predicting the future process. We combined simulation and sch...