A novel technique is provided for the global stability analysis of Boolean control networks (BCNs) under aperiodic sampled-data (ASDC). The sampling period allowed to be taken from a limited number values. Using semitensor product matrices, BCN ASDC can converted into switched network (BN). Here, BN only switch at instants, which does not mean that switches occur each instant. For BN, we consider two cases: (i) with all stable subsystems; (ii) containing both subsystems and unstable...

This brief investigates the partial and complete synchronization of two Boolean control networks (BCNs). Necessary sufficient conditions for are established by algebraic representations logical dynamics. An algorithm is obtained to construct feedback controller that guarantees master slave BCNs. Two biological examples provided illustrate effectiveness results.

In this letter, we investigate the sampled-data state feedback control (SDSFC) problem of Boolean networks (BCNs). Some necessary and sufficient conditions are obtained for global stabilization BCNs by SDSFC. Different from conventional controls, new phenomena observed study Based on controllability matrix, derive some under which trajectories can be stabilized to a fixed point piecewise constant (PCC). It is proved that SDSFC equivalent PCC. Moreover, algorithms given construct controllers....

In this article, we design the distributed pinning controllers to globally stabilize a Boolean network (BN), especially sparsely connected large-scale one, toward preassigned subset of states through node-to-node message exchange. Given an appointed set states, system nodes are partitioned into two disjoint parts, whose are, respectively, fixed or arbitrary with respect given state set. With such node division, three parts pinned selected and feedback accordingly designed that resulting BN...

This article presents a distributed pinning control strategy aimed at achieving global stabilization of Markovian jump Boolean networks. The relies on network matrix information to choose controlled nodes and adopts the algebraic state space representation approach for designing controllers. Initially, sufficient criterion is established verify stability given (MJBN) with probability one specific within finite time. To stabilize an unstable MJBN predetermined state, selection pinned involves...

In this article, a novel method for the global stochastic stability analysis of aperiodic sampled-data Boolean control networks (BCNs) is introduced. our sampling instants (ASDC) are uncertain and only activation frequencies interval known. Using semitensor product matrices, BCN under ASDC can be transformed into network (BN) with delays. Specifically, represented as delayed control. Here, time-varying delay random variable generated by Markov chain its transition probability matrix obtained...

In this article, we consider stabilization and reconstruction of sampled-data Boolean control networks (BCNs) under noisy sampling interval. A BCN interval is first converted into a probabilistic network (PBN). We then obtain some necessary sufficient conditions for global stochastic stability the considered two types intervals. However, in analyzing large-scale BCNs interval, using abovementioned conditions, leads to huge computational cost. Therefore, BCN, have transform it size-reduced...

In this paper, we investigate the stability of Boolean networks and stabilisation control with respect to part system's states. First, an algebraic expression (control) network is derived by semi-tensor product matrices. Then, some necessary sufficient conditions for partial are given. Finally, a free sequence state-feedback investigated respective obtained. Examples provided illustrate efficiency obtained results.

This paper first investigates the synchronization design problem for both Boolean networks (BNs) and singular BNs. According to complete family of reachable sets, all possible synchronized response BNs weakly can be constructed. Subsequently, it is noted that there similarity between (singular) state observers. The BN constructed based on a given drive BN, making its gradually tend consistent with BN. While observer designed output real (state estimation) Therefore, consider applying results...

Abstract In the existing literature on state estimation of Boolean control networks (BCNs), it is almost assumed that measurements are received without delay. However, in practice, always with This means may contain information about previous BCN. We study optimal issue BCNs stochastic disturbances coming from random delay this paper. Two types considered. The first type or loss, and probability distribution measurement under different values given. second process follows a finite‐state...

Abstract The paper investigates the sampled‐data state feedback control (SDSFC) for set stabilization of Boolean networks (BCNs). Set means that a system converges to subset space under certain controllers. Assume given is , where and sampling period τ . We consider two conditions q ≤ ; > any calculate corresponding largest invariant (LCIS). Moreover, design procedure all possible SDSFCs BCNs obtained. Ultimately, we provide an example demonstrate efficiency results.

Abstract An online concentration monitoring method was established by using attenuated total reflection ultraviolet (ATR‐UV) coupled with a suitable partial least squares regression for multi‐solute crystallization system, namely, disodium 5'‐inosinate (IMP) and 5'‐guanylate (GMP) in aqueous ethanol. The results indicated that the accurately predicted of IMP GMP solution. solubility data measured at various temperatures ethanol/water mass ratios, experimental well correlated applying...

This paper studies the stability and stabilization of multi-valued logical networks with respect to part system's states. By semi-tensor product matrices, we first convert into a linear discrete-time system. Then necessary sufficient condition for partial k-valued is given. Finally, control by state feedback investigated corresponding obtained. An example provided illustrate efficiency obtained results.

This paper studies the sampled-data state feedback control (SDSFC) problem of mix-valued logical networks. By semi-tensor product matrices, we convert networks into linear discrete-time systems. Then some necessary and sufficient conditions are obtained for global stabilization by SDSFC. New phenomenon is observed in study SDSFC which different from conventional controls. Finally, an algorithm given to construct controllers. A numerical example illustrate efficiency results.

Aiming at the problems of unclear underwater motion characteristics and poor robustness bionic undulating fin robot, robot are studied by force analysis numerical simulation, dynamic model is established. Based on model, proportional-integral-derivative controller (PID) neural network PID simulation established for closed-loop control experiment carried out. The accuracy consistency between experimental results can be verified. indicate that under function controller, closer to target depth...