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Photovoltaic (PV) system is installed in power system as one of the countermeasures for problems of the global warming. The output fluctuations due to the climate condition make an impact to the power system. As one of solutions for this problem, installation of the battery energy storage system (BESS) has been proposed. However, since the BESS is still expensive, it is favorable to reduce the capacity...
Using the linear noise approximation, we approach to the problem of evaluation and prediction of behavior of autonomous oscillatory genetic networks fluctuated by intrinsic noise. In this approach, the state covariance of the networks represents all the information concerning the fluctuation by intrinsic noise, and further, when the genetic network is an autonomous oscillatory system, the state covariance...
The Lyapunov equation, which describes stochastic variations of systems as a covariance equation, plays a central role in evaluation and prediction of behavior of genetic regulatory networks fluctuated by molecular noises. When the genetic network is an autonomously oscillatory system, the Lyapunov equation becomes a periodic differential equation that has generally unbounded solutions. We discuss...
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