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Controllability of Boolean control networks with state-dependent constraints

Science China(Information Sciences) 2016年第3期59卷 162-175页

作者： Yuqian GUO School of Information Science and Engineering Central South University

This paper investigates the controllability of Boolean control networks(BCNs) with state-dependent constraints. A kind of input transformation is proposed to transfer a BCN with state-dependent input constraints into a BCN with free control input. Based on the proposed technique, a necessary and sufficient condition for controllability is obtained. It is shown that state-dependent constraints for the state can be equivalently expressed as input constraints. When a BCN has both input and state constraints, there is a possibility that the sets of admissible controls for some states are the empty set. To treat this kind of BCN, a variation of the input transformation is proposed and the problem of controllability is solved. An illustrative example is provided to explain the proposed method and results.

关键词： Boolean control network state-dependent constraint controllability semi-tensor product input transformation

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Robust Feedback Set Stabilization of Logic Networks with State-Dependent Uncertain Switching and Control Constraints

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Journal of Systems Science & Complexity 2024年第2期37卷 629-646页

作者： DAI Chaoqun GUO Yuqian GUI Weihua School of Automation Central South UniversityChangsha 410083China

This study investigates the robust feedback set stabilization of switched logic control networks(SLCNs)with state-dependent uncertain switching and control ***,based on the properties of the semi-tensor product of matrices and the vector representation of logic,an SLCN with state-dependent uncertain switching and control constraints is expressed in algebraic ***,an input transformation and a switching model are constructed to transfer the original SLCN into one with a free control input and arbitrary *** equivalence between the set stabilizability of the original SLCN and that of the resulting SLCN is *** on such equivalence,the authors propose a necessary and sufficient condition for robust feedback set ***,an example is presented to demonstrate the application of the results obtained.

关键词： input transformation robust control invariant subset robust feedback set stabilizability semi-tensor product state-dependent constraints switched logic control network

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Pole Assignment for Three-Dimensional Systems Using Two-Dimensional Dynamic Compensators

Pole Assignment for Three-Dimensional Systems Using Two-Dime...

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第二十二届中国控制会议

作者： Atsushi Kawakami Mathematics and Sciences Core Kanazawa Institute of Technology7-1OugigaokaNonoichi-machiIshikawa-gunIshikawa-ken921-8501 Japan

＜正＞In this paper, we propose a method for assigning poles for three-dimensional systems described by the state-space model. In this method, we perform the state feedback and input transformation containing two-dimensional dynamic compensators on the given three-dimensional systems, so that we let the denominator polynomials of the transfer functions of the closed-loop systems coincide with the product of three one-dimensional polynomials whose roots are in the unit circle.

关键词： Pole assignment Three-dimensional systems Two-dimensional dynamic compensators. Feedback input transformation

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