Synchronization and control for directly coupled reaction-diffusion neural networks with multiple weights and hybrid coupling

This article is concerned with exponential stabilization almost surely for a class of discrete-time switched T–S fuzzy systems (DTSTSFSs), in which each mode switches according to transition probability and evolves with mode-dependent average dwell time. Parallel distributed compensation (PDC) event-triggered dynamic output quantization (ETDOQ) control is considered for the DTSTSFSs, where event-triggered (ET) mechanism without Zeno behavior is designed, which is mode-dependent and does not restrict the dwell time of each mode. By using the mode-dependent Lyapunov function method, two sufficient conditions termed by linear matrix inequalities are provided. Different from most of existing results, no inequality is resorted in dealing with the uncertainties coming from the quantization. It is interesting that the controlled modes are not required to be stable. New algorithm is designed for the control gains of the ETDOQ controller and the parameters of the ET condition, which overcomes the mismatching difficulty of the parameters induced by the PDC. Numerical simulations demonstrate the merits of the theoretical analysis. 

Event-Triggered Dynamic Output Quantization Control of Switched T–S Fuzzy Systems With Unstable Modes

This article considers the stabilization issue of switched discrete-time positive systems (SDPSs) with delay by using asynchronous control. Combining transition probability (TP) with mode-dependent average dwell time (MDADT), called TP-based MDADT switching, the SDPSs are more practical than classical models with average dwell-time (ADT) switching. With the aid of a co-positive Lyapunov–Krasovskii functional (CLKF), sufficient conditions ensuring the exponential stability almost surely (ES a.s.) of the SDPSs without control is studied, where the mode is not necessary to be stable. After that, a mode-dependent controller with switching delay is designed to stabilize the SDPSs in the case that there are unstable subsystems. An algorithm is provided to design the control gains. It is discovered that the mode in the closed-loop SDPSs is not required to be stable on synchronous and asynchronous switching intervals. Numerical simulations verify the merits of the new results. 

Asynchronous Control of Switched Discrete-Time Positive Systems With Delay

This article is concerned with exponential stabilization almost surely for a class of discrete-time switched T–S fuzzy systems (DTSTSFSs), in which each mode switches according to transition probability and evolves with mode-dependent average dwell time. Parallel distributed compensation (PDC) event-triggered dynamic output quantization (ETDOQ) control is considered for the DTSTSFSs, where event-triggered (ET) mechanism without Zeno behavior is designed, which is mode-dependent and does not restrict the dwell time of each mode. By using the mode-dependent Lyapunov function method, two sufficient conditions termed by linear matrix inequalities are provided. Different from most of existing results, no inequality is resorted in dealing with the uncertainties coming from the quantization. It is interesting that the controlled modes are not required to be stable. New algorithm is designed for the control gains of the ETDOQ controller and the parameters of the ET condition, which overcomes the mismatching difficulty of the parameters induced by the PDC. Numerical simulations demonstrate the merits of the theoretical analysis.

This paper studies the global exponential synchronization almost surely (GES a.s.) for coupled systems (CSs) with stochastic switching topology by using event-based output feedback control. It is assumed that the sensor-controller channel is subject to stochastic deception attacks and the actuator faults may occur to some modes. Novel double mode-dependent adaptive event-triggering mechanisms (ETMs) are introduced based on sampled data technique. Not only the Zeno phenomenon is naturally excluded, but also the asynchronous phenomenon is skillfully avoided. Based on the Lyapunov-Krasovskii functional method and the linear matrix inequality (LMI) technology, some sufficient conditions are presented to guarantee GES a.s. of the concerned system. Moreover, the event-based output feedback controller and the double ETMs can be designed by solving LMIs. In addition, an event-based pinning control is considered and some sufficient conditions are presented. As a theoretic application, our proposed results can be applied to secure synchronization problem for CSs subject to stochastic mixed attacks consisting of denial-of-service (DoS) attacks and deception attacks. Finally, two numerical examples are presented to demonstrate the effectiveness and the merits of the theoretical analysis. 

Secure Synchronization of Coupled Systems via Double Event-Triggering Mechanisms With Actuator Fault

This article considers global exponential synchronization almost surely (GES a.s.) for a class of switched discrete-time neural networks (DTNNs). The considered system switches from one mode to another according to transition probability (TP) and evolves with mode-dependent average dwell time (MDADT), i.e., TP-based MDADT switching, which is more practical than classical average dwell time (ADT) switching. The logarithmic quantization technique is utilized to design mode-dependent quantized output controllers (QOCs). Noticing that external perturbations are unavoidable, actuator fault (AF) is also considered. New Lyapunov–Krasovskii functionals and analytical techniques are developed to obtain sufficient conditions to guarantee the GES a.s. It is discovered that the TP matrix plays an important role in achieving the GES a.s., the upper bound of the dwell time (DT) of unsynchronized subsystems can be very large, and the lower bound of the DT of synchronized subsystems can be very small. An algorithm is given to design the control gains, and an optimal algorithm is provided for reducing conservatism of the given results. Numerical examples demonstrate the effectiveness and the merits of the theoretical analysis.

Synchronization of Switched Discrete-Time Neural Networks via Quantized Output Control With Actuator Fault

This research mainly focuses on the quantized tracking control for high-order uncertain non-strict feedback multi-agent systems. Due to the nonlinearities under considered are completely unknown, neural networks is adopted to approximate them. To cope with the structure characteristic of high-order, backstepping technique is used. Meanwhile, an important decom-position property of quantizer is utilized to handle the control design problem. A quantized tracking control protocol is developed to guarantee that the system is stable and synchronous tracking is achieved. A simulation example is carried out to text our result.

Cheng Zun-shui

Papers

Synchronization of Switched Discrete-Time Neural Networks via Quantized Output Control With Actuator Fault

Adaptive neural control for a class of non-strict feedback nonlinear multi-agent systems with input quantization