منابع مشابه
Minimum-Time Control of Boolean Networks
Boolean networks (BNs) are discrete-time dynamical systems with Boolean state-variables. BNs are recently attracting considerable interest as computational models for biological systems and, in particular, as models of gene regulating networks. Boolean control networks (BCNs) are Boolean networks with Boolean inputs. We consider the problem of steering a BCN from a given state to a desired stat...
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Based on the linear expression of the dynamics of Boolean networks, the coordinate transformation of Boolean variables is defined. It follows that the state space coordinate transformation for the dynamics of Boolean networks is revealed. Using it, the invariant subspace for a Boolean control network is defined. Then the structure of a Boolean control network is analyzed, and the controllable a...
متن کاملIdentification problems for Boolean networks and Boolean control networks
In this paper we address various forms of identification problems for Boolean networks (BNs) and for Boolean control networks (BCNs). For the former, we assume to have a set of infinite or finite support output trajectories and we want to identify a BN compatible with those trajectories. Conditions for the identified BN to coincide (up to a relabeling) with the original BN are provided. For BCN...
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We consider Boolean control networks (BCNs), and in particular Boolean networks (BNs), in the framework of symbolic dynamics (SD). We show that the set of state-space trajectories of a BCN is a shift space of finite type (SFT). This observation allows to extend two important analysis tools from SD, namely, the Artin-Mazur zeta function and the topological entropy, to BNs and BCNs. Some of the t...
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2013
ISSN: 0363-0129,1095-7138
DOI: 10.1137/110844660