Output tracking control of Boolean control networks via state feedback: Constant reference signal case

Li, Haitao; Wang, Yuzhen; Xie, Lihua

doi:10.1016/j.automatica.2015.06.004

Cited by 140 publications

(51 citation statements)

References 39 publications

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“…Especially, analysis and control methods using the semi-tensor product (STP) method have been widely studied (see, e.g., [33][34][35][36][37][38][39][40][41][42][43]). In the review paper [44], many methods for PBNs, e.g., construction and inference methods, structural intervention methods, and control methods, have been explained in a comprehensive manner.…”

Section: Introductionmentioning

confidence: 99%

Optimization-Based Approaches to Control of Probabilistic Boolean Networks

Kobayashi

Hiraishi

2017

Algorithms

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Abstract:Control of gene regulatory networks is one of the fundamental topics in systems biology. In the last decade, control theory of Boolean networks (BNs), which is well known as a model of gene regulatory networks, has been widely studied. In this review paper, our previously proposed methods on optimal control of probabilistic Boolean networks (PBNs) are introduced. First, the outline of PBNs is explained. Next, an optimal control method using polynomial optimization is explained. The finite-time optimal control problem is reduced to a polynomial optimization problem. Furthermore, another finite-time optimal control problem, which can be reduced to an integer programming problem, is also explained.

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Section: Introductionmentioning

confidence: 99%

Optimization-Based Approaches to Control of Probabilistic Boolean Networks

Kobayashi

Hiraishi

2017

Algorithms

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“…Noting controllability is also one of the fundamental concepts and research topics in system science and control framework [35]- [37]. For example, in system-based drug discovery or cancer treatment, it is sometimes required to find control strategies steering genes to some desired states or genes.…”

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confidence: 99%

Controllability and Synchronization Analysis of Identical-Hierarchy Mixed-Valued Logical Control Networks

Zhong

Huang

et al. 2017

IEEE Trans. Cybern.

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This paper investigates the controllability and synchronization problems for identical-hierarchy mixed-valued logical control networks. The logical network considered is hierarchical, and Boolean network is a special case of logical network. Here, identical-hierarchy means that there are identical number of nodes in each layer of logical network and corresponding nodes have the same dimension for any two layers of logical networks. Meanwhile, in each layer of logical networks, the dimensions of nodes are distinct, and it is called a mixed-valued logical network. First, the controllability problem is investigated and two notions of controllability are presented, i.e., group-controllability and simultaneously-controllability. By resorting to Perron-Frobenius theorem, some necessary and sufficient criteria are obtained to guarantee group-controllability and simultaneously-controllability, respectively. Second, based on the algebraic representation of the studied model, synchronization problems are analytically discussed for two types of controls, i.e., free control sequences and state-output feedback control. Finally, two numerical examples are presented to show the validness of our main results.

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“…As a special class of evolutionary games, evolutionary Boolean game is of great importance in biology, physics and systems science [5]. For instance, Prisoner's Dilemma [6], Snowdrift Game [7], and Hawk-Dove Game [8] are familiar Boolean games.…”

Section: Introductionmentioning

confidence: 99%

Strategy Consensus for a Class of Random Evolutionary Games

Ding¹,

Zhou²,

Liu³

et al. 2017

dtetr

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Abstract. This paper studies the strategy consensus for a class of random evolutionary games, that is, random evolutionary Boolean games (REBG), by using the semi-tensor product of matrices. The RBEG is converted into an algebraic form, based on which, a necessary and sufficient condition is presented to check the strategy consensus for REBG. A numerical example is worked out to illustrate the efficiency of the obtained results.

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Output tracking control of Boolean control networks via state feedback: Constant reference signal case

Cited by 140 publications

References 39 publications

Optimization-Based Approaches to Control of Probabilistic Boolean Networks

Optimization-Based Approaches to Control of Probabilistic Boolean Networks

Controllability and Synchronization Analysis of Identical-Hierarchy Mixed-Valued Logical Control Networks

Strategy Consensus for a Class of Random Evolutionary Games

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