Sampled-Data Control for the Synchronization of Boolean Control Networks

Abstract

In this paper, we investigate the sampled-data state feedback control (SDSFC) for the synchronization of Boolean control networks (BCNs) under the configuration of drive-response coupling. Necessary and sufficient conditions for the complete synchronization of BCNs are obtained by the algebraic representations of logical dynamics. Based on the analysis of the sampling periods, we establish an algorithm to guarantee the synchronization of drive-response coupled BCNs by SDSFC. An example is given to illustrate the significance of the obtained results.

Anti-Synchronization of a Class of Chaotic Systems with Application to Lorenz System: A Unified Analysis of the Integer Order and Fractional Order

“…In this section, we will design a unified controller to achieve finite-time anti-synchronization for systems (6) and 7with unknown parameters of integer-and fractional-order, and we prove that the controller is valid. Theorem 1.…”

“…Theorem 1. For any initial conditions, the two systems (6) and 7are finite-time anti-synchronized if the control law equation is designed as follows:…”

“…Recently, many control schemes have been proposed to synchronize integer-order chaotic systems; for example, alternate output feedback control, nonlinear control, adaptive control, unknown input control, coupling scheme control, fuzzy control, sampled-data control, and so on [1][2][3][4][5][6][7][8][9][10][11][12]. Al-Sawalha discussed the anti-synchronization problem of two different hyper-chaotic systems in [13].…”

A Full Duplex D2D Clustering Resource Allocation Scheme Based on a K-Means Algorithm

“…How to manage the spectrum resources of the community as a whole, reasonably determine the communication power of each device, and minimize the interference between devices have become the main bottleneck for D2D communication to enter the practical stage. It is worthwhile to try to achieve power stability [15,16] or learn from software reliability prediction through context sensitive rate Boolean control network [17].…”

Sequential Measurement and Analysis of Large Underground Retaining Structures by Diaphragm Wall Anchor for the Spring Area

“…erefore, field monitoring of structure deformations and ground movements plays a vital role in excavation process [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Based on the reported field monitoring data, empirical and semiempirical methods have been identified as an appropriate approaches for the prediction of the excavation deformations [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. ese studies not only have put forward the cognitions of excavations deformations, but also are available to designers who would verify the numerical analysis for complex excavations.…”