scholarly journals Alternate Event-triggered Aperiodically Intermittent Control for Synchronization of Multi-weighted Complex Networks

2021 ◽  
Author(s):  
Dongsheng Xu ◽  
Huan Su ◽  
Chenfei Guo
Keyword(s):  
Complex Networks ◽  
Sufficient Conditions ◽  
Exponential Synchronization ◽  
Intermittent Control ◽  
Real Time Control ◽  
Practical Applications ◽  
Time Control ◽  
Theoretical Results ◽  
Event Triggered ◽  
Weighted Complex Networks

Abstract In this paper, the exponential synchronization problem for multi-weighted complex networks via alternate event-triggered aperiodically intermittent control (AETAIC) is considered. Different from existing literature, the proposed AETAIC is triggered alternatively by two pre-defined conditions, which can fast react to asynchronous external events and show better real-time control performance. Meanwhile, AETAIC removes the restrictions of traditional intermittent control on the lower bound of control intervals and upper bound of control periods or the maximum proportion of rest intervals. Though graph theory and Lyapunov method, several sufficient conditions are given to ensure exponential synchronization of the studied networks and Zeno behaviors can be excluded. Moreover, the theoretical results demonstrate that the control gain affects the control widths and exponential convergence rate, which shows that AETAIC can further reduce the frequency of controller updates and release the computation burdens. Finally, in order to illustrate the theoretical results, two practical applications about Chua's circuits and coupled oscillators are presented. Meanwhile, numerical simulations are provided to validate the effectiveness of the results.

scholarly journals Pinning Adaptive Synchronization of Delayed Coupled Dynamical Networks via Periodically Intermittent Control

2017 ◽  
Vol 2017 ◽  
pp. 1-8
Author(s):  
Xueliang Liu ◽  
Shengbing Xu
Keyword(s):  
Lyapunov Method ◽  
Sufficient Conditions ◽  
Exponential Synchronization ◽  
Adaptive Synchronization ◽  
Intermittent Control ◽  
Dynamical Networks ◽  
Adaptive Feedback ◽  
Periodically Intermittent Control ◽  
Synchronization Problem ◽  
Theoretical Results

This paper investigates the exponential synchronization problem of delayed coupled dynamical networks by using adaptive pinning periodically intermittent control. Based on the Lyapunov method, by designing adaptive feedback controller, some sufficient conditions are presented to ensure the exponential synchronization of coupled dynamical networks with delayed coupling. Furthermore, a numerical example is given to demonstrate the validity of the theoretical results.

Spectral Algorithms for Signal Generation as Learning-Methodical Tool for Engineer Preparation

2019 ◽  
pp. 254-272
Author(s):  
Vladimir V. Syuzev ◽  
Elena V. Smirnova ◽  
Kirill Kucherov ◽  
Vladimir Gurenko ◽  
Gurgen Khachatrian
Keyword(s):  
Systems Development ◽  
Signal Generation ◽  
Decision Task ◽  
Real Time Control ◽  
Spectral Simulation ◽  
Practical Applications ◽  
Time Control ◽  
Signal Characteristics ◽  
Basic Functions ◽  
Simulation Algorithms

In this chapter, a spectral method of deterministic signals simulation is proposed. The target is to solve the teaching methodological problem of individual tasks creation for students: future engineers in the field of real-time control systems' development and research. The tasks are related to the correlation theory. The method of simulation algorithms tuning with the help of specified spectrally correlation of signal characteristics and their parameters in the harmonic Fourier and Hartley basis is presented. To expand the set of task's variants for the independent student self-preparation the task of signals simulation has been formulated mathematically and solved in arbitrary complex and real systems of orthogonal basic functions. The requirements have been underlined on how teacher can teach basic functions for the practical applications. During such kind of decision task, the student will be able to counts the multiplicity, precision, and computational complexity of the resulting spectral simulation algorithms.

scholarly journals Evolutionary Dynamics of Stochastic SEIR Models with Migration and Human Awareness in Complex Networks

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Yue Zhang ◽  
Yuxuan Li
Keyword(s):  
Complex Networks ◽  
Numerical Experiments ◽  
Evolutionary Dynamics ◽  
Sufficient Conditions ◽  
Deterministic System ◽  
Stochastic Solution ◽  
Epidemic Dynamic ◽  
Theoretical Results ◽  
Disease Persistence ◽  
Human Awareness

In this paper, a stochastic SEIR (Susceptible-Exposed-Infected-Removed) epidemic dynamic model with migration and human awareness in complex networks is constructed. The awareness is described by an exponential function. The existence of global positive solutions for the stochastic system in complex networks is obtained. The sufficient conditions are presented for the extinction and persistence of the disease. Under the conditions of disease persistence, the distance between the stochastic solution and the local disease equilibrium of the corresponding deterministic system is estimated in the time sense. Some numerical experiments are also presented to illustrate the theoretical results. Although the awareness introduced in the model cannot affect the extinction of the disease, the scale of the disease will eventually decrease as human awareness increases.

scholarly journals Adaptive Aperiodically Intermittent Synchronization for Complex Dynamical Network with Unknown Time-Varying Outer Coupling Strengths

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Lihong Yan ◽  
Junmin Li
Keyword(s):  
Adaptive Learning ◽  
Exponential Synchronization ◽  
Intermittent Control ◽  
Time Varying ◽  
Complex Dynamical Network ◽  
Dynamical Network ◽  
Synchronization Problem ◽  
Coupling Strengths ◽  
Inequality Techniques ◽  
Theoretical Results

In this paper, exponential synchronization problem of complex dynamical networks with unknown periodically coupling strengths was investigated. An aperiodically intermittent control synchronization strategy is proposed. Based on Lyapunov exponential stability theory, inequality techniques, and adaptive learning laws design, some sufficient exponential synchronization criteria for complex dynamical network with unknown periodical coupling weights are obtained. The numerical simulation example is presented to illustrate the feasibility of theoretical results.

Sampled intermittent control for consensus of multi-agent systems with variable activated intervals

2017 ◽  
Vol 40 (5) ◽  
pp. 1521-1528
Author(s):  
Yan Wang ◽  
Hong Zhou ◽  
Zhi-Wei Liu ◽  
Wenshan Hu ◽  
Wei Wang
Keyword(s):  
Sufficient Conditions ◽  
Nonnegative Matrix ◽  
Switching Topology ◽  
Intermittent Control ◽  
Multi Agent Systems ◽  
Time Intervals ◽  
Agent Systems ◽  
Multi Agent ◽  
Velocity Information ◽  
Theoretical Results

In this paper, a new kind of intermittent control is proposed to study consensus problems of multi-agent systems with second-order dynamics. In particular, we consider the case that the information transmission occurs at sampling instants and the velocity information is not available for feedback. The proposed control only regulates the velocity of agents in a given sequence of disconnected time intervals, called activated intervals, after sampling instants. Remarkably, both the sampling and activated intervals are not required to be identical. By adopting algebraic graph theory and nonnegative matrix, some sufficient conditions are obtained for guaranteeing the consensus of the multi-agent systems under the switching topology. Finally, the numerical examples are included to illustrate the theoretical results.

scholarly journals Bipartite Consensus of Heterogeneous Multiagent Systems Based on Distributed Event-Triggered Control

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-14 ◽  
Author(s):  
Xiaoyu Wang ◽  
Kaien Liu ◽  
Zhijian Ji ◽  
Shitao Han
Keyword(s):  
Multiagent Systems ◽  
Sufficient Conditions ◽  
Input Delay ◽  
Consensus Problem ◽  
Consensus Protocol ◽  
Control Scheme ◽  
Event Triggering ◽  
Bipartite Consensus ◽  
Theoretical Results ◽  
Event Triggered

In this paper, the bipartite consensus problem of heterogeneous multiagent systems composed of first-order and second-order agents is considered by utilizing the event-triggered control scheme. Under structurally balanced directed topology, event-triggered bipartite consensus protocol is put forward, and event-triggering functions consisting of measurement error and threshold are designed. To exclude Zeno behavior, an exponential function is introduced in the threshold. The bipartite consensus problem is transformed into the corresponding stability problem by means of gauge transformation and model transformation. By virtue of Lyapunov method, sufficient conditions for systems without input delay are obtained to guarantee bipartite consensus. Furthermore, for the case with input delay, sufficient conditions which include an admissible upper bound of the delay are obtained to guarantee bipartite consensus. Finally, numerical simulations are provided to illustrate the effectiveness of the obtained theoretical results.

scholarly journals Exponential Synchronization of Inertial Cohen–Grossberg Neural Networks with Time-Varying Delays via Periodically Intermittent Control

2020 ◽  
Vol 15 (2) ◽  
pp. 15
Author(s):  
Qing Ding ◽  
Yinfang Song
Keyword(s):  
Neural Networks ◽  
Sufficient Conditions ◽  
Functional Method ◽  
Exponential Synchronization ◽  
Intermittent Control ◽  
Time Varying ◽  
Periodically Intermittent Control ◽  
Synchronization Problem ◽  
Control Schemes ◽  
Inequality Techniques

This paper deals with the exponential synchronization problem of inertial Cohen–Grossberg neural networks with time-varying delays under periodically intermittent control. In light of Lyapunov–Krasovskii functional method and inequality techniques, some sufficient conditions are attained to ensure the exponential synchronization of the master-slave system on the basis of p-norm. Meanwhile, the periodically intermittent control schemes are designed. Finally, in order to verify the effectiveness of theoretical results, some numerical simulations are provided.

scholarly journals Asynchronous finite-time control for networked switched linear parameter-varying systems via an event-triggered communication scheme

2018 ◽  
Vol 233 (1) ◽  
pp. 44-57
Author(s):  
Hangli Ren ◽  
Guangdeng Zong
Keyword(s):  
Finite Time ◽  
Sufficient Conditions ◽  
Linear Parameter ◽  
Input Output ◽  
Linear Parameter Varying ◽  
Linear Parameter Varying Systems ◽  
Time Control ◽  
Communication Scheme ◽  
Parameter Varying ◽  
Event Triggered

This article addresses the finite-time control problem for a class of switched linear parameter-varying systems via an event-triggered communication scheme. Different from the existing finite-time problems, not only the problem of finite-time boundedness but also the problem of input-output finite-time stability is considered in this article. Using an asynchronous switching scheme, sufficient conditions are established to guarantee the event-based closed-loop systems are both finite-time bounded and input-output finite-time stable. Then, a parameter-dependent asynchronous controller is designed by solving a set of linear matrix inequalities. Finally, a numerical example is presented to show the effectiveness of the result.

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