System decomposition with respect to inputs for Boolean control networks

Zou, Yunlei; Zhu, Jiandong

doi:10.1016/j.automatica.2014.02.039

Cited by 101 publications

(36 citation statements)

References 24 publications

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“…Definition 3.6. The output of the system (5) is said to track the output of the system (19), if there exist a control sequence {u(t) ∶ t ∈ N} and an integer > 0 such that…”

Section: Time-varying Reference Signal Casementioning

confidence: 99%

“…In the last decade, the ASSR approach has been widely applied to the study of Boolean networks, and many interesting results have been established. These results mainly include stability and stabilization, 5-7 observability and controllability, 8-13 control design, [14][15][16][17][18][19] and so on. For a comprehensive survey on the ASSR approach, please refer to Lu et al 20 As is known to all, many evolutionary processes including gene regulation may experience abrupt changes of state at some time instances.…”

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confidence: 99%

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Output tracking control of Boolean control networks with impulsive effects

et al. 2017

Math Methods in App Sciences

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This paper studies the output tracking problem of Boolean control networks (BCNs) with impulsive effects via the algebraic state‐space representation approach. The dynamics of BCNs with impulsive effects is converted to an algebraic form. Based on the algebraic form, some necessary and sufficient conditions are presented for the feedback output tracking control of BCNs with impulsive effects. These conditions contain constant reference signal case and time‐varying reference signal case. The study of an illustrative example shows that the obtained new results are effective.

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“…Definition 3.6. The output of the system (5) is said to track the output of the system (19), if there exist a control sequence {u(t) ∶ t ∈ N} and an integer > 0 such that…”

Section: Time-varying Reference Signal Casementioning

confidence: 99%

mentioning

confidence: 99%

Output tracking control of Boolean control networks with impulsive effects

et al. 2017

Math Methods in App Sciences

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“…In the past half a century, BNs have received many scholars' research interests. Consequently, lots of theoretical and experimental results have been established . Especially, in the 2000s, an algebraic state space representation method was proposed by Cheng based on the semitensor product of matrices (STP) .…”

Section: Introductionmentioning

confidence: 99%

Structural stability analysis of gene regulatory networks modeled by Boolean networks

Liang

Zhao

et al. 2019

Math Methods in App Sciences

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This paper studies the structural monostability and structural cycle‐stability of Boolean networks (BNs). Firstly, the structural‐equivalent Boolean networks are converted to the algebraic forms by using the semitensor product of matrices. Secondly, the concepts of structural monostability and structural cycle‐stability for Boolean networks are proposed. On the basis of the algebraic forms of structural‐equivalent Boolean networks, some necessary and sufficient conditions are presented for the structural monostability and structural cycle‐stability of Boolean networks. Finally, an illustrative example is worked out to show the effectiveness of the obtained results.

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“…Then, one can analyze Boolean (control) networks by using the classical control theory. Up to now, there have been many interesting works on the control of BCNs via this novel method, which include controllability and observability (Chen & Sun, 2014;Cheng, Li, & Qi, 2010;Cheng & Qi, 2009Feng, Yao, & Cui, 2012;Fornasini & Valcher, 2013a;Laschov & Margaliot, 2012;Li & Sun, 2011a,b;Li & Wang, 2012;Zhao, Cheng, & Qi, 2010), disturbance decoupling (Cheng, 2011;, optimal control (Fornasini & Valcher, 2014;Laschov & Margaliot, 2011;Zhao, Li, & Cheng, 2011), stability and stabilization (Cheng, Qi, Li, & Liu, 2011;Li & Wang, 2013;, and other control problems (Cheng & Xu, 2013;Fornasini & Valcher, 2013b;Li & Chu, 2012;Wang, Zhang, & Liu, 2012;Xu & Hong, 2013;Zhang, 2012;Zhang & Feng, 2013;Zhao, Kim, & Filippone, 2013;Zou & Zhu, 2014).…”

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confidence: 99%