Pinning Control Design For Output Tracking Of Multi-valued Logical Networks With Applications

Multi-valued logical networks (MVLNs) have wide applications in the research fields such as systems biology, multi-valued digital circuits, networked evolutionary games and nonlinear feedback shift register. The main characterization of MVLNs is parameter-free, and hence one can use MVLNs to model large scale systems.MVLNs with inputs (including control inputs and disturbance inputs) and outputs are called k-valued logical control networks. In the last few decades, the study of MVLNs has attracted many scholars’ interest.In this paper, we apply the semi-tensor product of matrices methods to study pinning control design for output tracking of Multi-valued logical networks. The dissertation contains six chapters.In chapter 1, we mainly introduce the research status of output tracking pin-ning control problem of Multi-valued logical networks.In chapter 2, we give some common symbols and preliminary knowledge used in this paper.In chapter 3, the algebraic representation and problem description of multi-valued logical networks with pinning control are given.In chapter 4, based on the algebraic form,a constructive procedure is pro-posed for the design of pinning output tracking controllers with or without state constraints.In chapter 5, based on the robust reachability, a constructive procedure is pro-posed to design state feedback pinning controls for the robust output tracking of MVLNs.In chapter 6, the obtained new results are applied to the evolutionary behavior analysis of networked evolutionary games.