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In this brief, we consider the problem of finding a probabilistic Boolean network (PBN) based on a network structure and desired steady-state properties. In systems biology and synthetic biology, such problems are important as an inverse problem. Using a matrix-based representation of PBNs, a solution method for this problem is proposed. The problem of finding a BN has been studied so far. In the...
In design of demand response programs, real-time pricing plays an important role. In real-time pricing systems, information of the price and power consumption is sent to an ISO (independent system operator) and consumers (i.e., smart meters) through communication networks. Hence, this system can be regarded as a class of networked control systems. In this paper, design of real-time pricing systems...
In this paper, a class of discrete-time stochastic hybrid systems, in which only discrete dynamics are stochastic, is considered. For this system, a solution method for the optimal control problem with probabilistic constraints is proposed. Probabilistic constraints guarantee that the probability that the continuous state reaches a given unsafe region is less than a given constant. In the propose...
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