A minimum-time control for Boolean control networks with impulsive disturbances

Chen, Hongwei; Wu, Bo; Lu, Jianquan

doi:10.1016/j.amc.2015.09.075

Cited by 28 publications

(12 citation statements)

References 26 publications

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“…Let z(t) = x(t)x(t) and (t) = y(t)ŷ(t). Combining (23) with (26), we obtain the following augmented system:…”

Section: Time-varying Reference Signal Casementioning

confidence: 99%

“…In the last 2 decades, there have been lots of excellent results on the dynamical systems with impulsive effects . Especially, Boolean networks with impulsive effects have received many scholars' interests in some recent works by using the ASSR approach …”

Section: Introductionmentioning

confidence: 99%

“…[21][22][23][24] Especially, Boolean networks with impulsive effects have received many scholars' interests in some recent works by using the ASSR approach. 5,[25][26][27][28][29][30] It is worth mentioning that the output tracking control problem is a basic issue in the control theory, which aims to make the measured outputs of a system track a desirable reference signal. The output tracking control problem of Boolean control networks (BCNs) was firstly studied in Fornasini and Valcher 31 and Li et al 32,33 Then, it was generalized to switched Boolean networks, 34 probabilistic Boolean networks, 35 delayed Boolean networks, 36 and time-varying reference signal case.…”

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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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“…Let z(t) = x(t)x(t) and (t) = y(t)ŷ(t). Combining (23) with (26), we obtain the following augmented system:…”

Section: Time-varying Reference Signal Casementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

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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“…Especially, considering the sudden changes in gene regulation, the impulsive effect on genetic regulatory networks attracts many scholars' interest [40], [56]. It is noted that the ASSR method was also applied to Boolean networks with impulsive effects [5], [49]- [51]. Li et al [21] firstly introduced impulsive effects into Boolean networks.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Controllability and Set Controllability of Impulsive Probabilistic Boolean Control Networks

Wang

Liu

2020

IEEE Access

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This paper addresses the finite-time controllability and set controllability of impulsive probabilistic Boolean control networks (IPBCNs). Firstly, using the algebraic state space representation (ASSR) method, the transition probability matrix of IPBCNs is established. Secondly, a kind of finite step reachability matrix with probability one is constructed, based on which, several effective criteria are proposed for the finite-time controllability with probability one of IPBCNs. Thirdly, a necessary and sufficient condition is presented for the finite-time set controllability with probability one of IPBCNs by constructing the set controllability probability distribution vector. Finally, the obtained results are extended to switching topology case.

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“…Therefore, it is meaningful to study BCNs with impulsive effects. Recently, by using the semi-tensor product (STP) of matrices [5,7,8,15,33,34,41,42,44,45], many scholars have presented some basic results on BCNs with impulsive effects, including controllability [30,32,35], observability [17,46], stability and stabilization [1,3,9,18,39], set stability [10,16,19], optimal control [4,40], function perturbations [31], and synchronization [2,45].…”

Section: Introductionmentioning

confidence: 99%

Robust set stabilization of Boolean control networks with impulsive effects

Liu

et al. 2018

NAMC

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This paper addresses the robust set stabilization problem of Boolean control networks (BCNs) with impulsive effects via the semi-tensor product method. Firstly, the closed-loop system consisting of a BCN with impulsive effects and a given state feedback control is converted into an algebraic form. Secondly, based on the algebraic form, some necessary and sufficient conditions are presented for the robust set stabilization of BCNs with impulsive effects under a given state feedback control and a free-form control sequence, respectively. Thirdly, as applications, some necessary and sufficient conditions are presented for robust partial stabilization and robust output tracking of BCNs with impulsive effects, respectively. The study of two illustrative examples shows that the obtained new results are effective.

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A minimum-time control for Boolean control networks with impulsive disturbances

Cited by 28 publications

References 26 publications

Output tracking control of Boolean control networks with impulsive effects

Output tracking control of Boolean control networks with impulsive effects

Finite-Time Controllability and Set Controllability of Impulsive Probabilistic Boolean Control Networks

Robust set stabilization of Boolean control networks with impulsive effects

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