In this study, the author investigates the input/outputdecouplingproblem for Boolean control networks (BCNs). To keep up with the spirit of the original definition for linear state-space models, that pertains the re...
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In this study, the author investigates the input/outputdecouplingproblem for Boolean control networks (BCNs). To keep up with the spirit of the original definition for linear state-space models, that pertains the relationship between inputs and outputs independently of the state variables, two properties that formalise in different ways the idea that each single component of the output depends on the values of the corresponding input are provided, but not on the values of the other inputs. These properties are introduced by referring to the classical representation of a BCN in terms of Boolean input, state and output vectors, whose mutual relationships are expressed through the logical operators AND, OR and so on. In this set-up, it is proven that there is some natural ordering among these properties, namely that one of them implies the other. In the second part of this study, it is shown that by resorting to the algebraic representation of BCNs a complete characterisation of these properties is possible. The algebraic characterisations obtained through this approach provide easy to check algorithms to evaluate whether a BCN is input/output decoupled or not. Finally, graph-theoretic characterisations of the two input/outputdecoupling properties are provided.
An input-outputdecoupling and linearization problem for a class of nonlinear time-delay systems is considered. The method is based on differential geometry theory to transform the nonlinear state equation into a norm...
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ISBN:
(纸本)0780386531
An input-outputdecoupling and linearization problem for a class of nonlinear time-delay systems is considered. The method is based on differential geometry theory to transform the nonlinear state equation into a normal form that has the property of being input-output linear. Several sufficient conditions are discussed, under which there exist a state feedback controller and the nonlinear coordinate transformation that can realize the output variables being independent of time delays and decoupling from the inputs. The Isidori-Brunovsky canonical form of the original system is given as well, which help to simplify the theory analysis and bring convenience to the practical ends.
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