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In order to better describe the mechanism of rumor propagation, suppress rumor propagation. This paper examines the influence of true information disseminators on individuals and rumor spreaders who are affected by the public opinion environment. It is found by comparing those who have true information and those who do not have true information in the population. When there are true information disseminators in the crowd, it can effectively control the turn of individuals affected by the public opinion environment to the spread of rumors, and increase the turn of individuals affected by the public opinion environment to the true information disseminators. In addition, this paper analyzes the problems related to the optimal control of the rumor propagation model, and proposes some policies to increase the number of true information disseminators and reduce the number of rumor propagators, so as to better control the spread of rumors. Finally, numerical simulations verify the inhibitory effect of true information disseminators on the spread of rumors. It can be seen from the figure that the earlier the true information disseminator appears, the greater the number of true information disseminators, and the more obvious the inhibitory effect on the spread of rumors. • Add true information spreaders to the crowd, compared and discussed the differences with and without it. • Increasing the number of true information spreaders, can reduce the influence of public opinion and weaken rumor spreading. • It is concluded that the optimal control is helpful to reduce the number of rumors spreading in the crowd. [ABSTRACT FROM AUTHOR]

This study addresses the problem of observer design and its applications to attack detection for an interconnected cyber-physical system subjected to unknown disturbances and sensor attacks. First, an overall system is constructed using the information on the interconnection of several subsystems, and problems related to the observer design are then solved. Second, to facilitate the residual's sensitivity to attacks and its robustness against unknown disturbances, an observer is provided. The gain matrix is developed using both the H − performance and mixed L 2 − L ∞ / H ∞ performance. Third, for the suppression of the effect of unknown disturbances and attack signals on the errors in the state estimation and on attack detection in a finite-frequency domain, the generalized Kalman-Yakubovich-Popov lemma is applied to set the conditions under which the observer can operate effectively. In light of the detection scheme, we suggest a detection logic that prevents false alarms by comparing the evaluation function to the corresponding threshold. Additionally, an interval threshold-based method is introduced to establish the threshold bounds, and numerical simulation results are provided to demonstrate the method's validity in this paper. [ABSTRACT FROM AUTHOR]

• The PIR protocol is improved using multiple intentional delays as tunable parameters for second-order multi-agent systems. • A systematic and flexible parameter tuning strategy is presented for our proposed PIR protocol. • The superiority of our PIR protocol is demonstrated by developing a comprehensive comparison. • Our PIR protocol is superior in noise attenuation over the PID scheme. • Our PIR protocol outperforms the PR protocol regarding consensus speed, parameter robustness, and disturbance resistance. The attractive characteristics of an innovative delay-based controller called Proportional-Integral-Retarded (PIR) controller are reported in many fields. However, a detailed investigation of the merits of the PIR controller for multi-agent systems (MASs) is still missing. To bridge this gap, we propose an improved PIR protocol for a general class of second-order MASs. This protocol, using multiple intentional delays and heterogeneous gains as tunable parameters, realizes the optimal spectrum assignment of each subsystem in a completely independent way without affecting the stability of other subsystems. We then present a systematic and flexible parameter tuning strategy for the PIR protocol such that the desired exponential decay rate of the consensus system can be achieved. Specifically, this strategy achieves an arbitrary dominant root assignment in the domain of non-negative real numbers and enables enhanced control flexibility by adjusting an additionally introduced free variable in the analytical parameter formulae. To unveil the superiority of our proposed PIR protocol, we develop a comprehensive comparison of the PIR protocol with the Proportional-Integral-Derivative (PID) scheme and the Proportional-Retarded (PR) protocol. The numerical simulations show that our PIR protocol outperforms the PID scheme regarding the noise attenuation property. Besides, this protocol can attain faster consensus, stronger robustness against parameter uncertainties, and superior disturbance resistance than the PR protocol. Our paper provides a valuable reference for the design of an effective and implementable multi-agent consensus protocol. [ABSTRACT FROM AUTHOR]

In the face of an emergency, regionally coordinated allocation is an important prerequisite for maintaining the normal order of production and living. Considering the complexity and uncertainty of the emergencies in local governments, this paper establishes a two-stage process for allocating medical resources. In the first stage, cooperative regions with incomplete weights and multidimensional uncertain information ranked via a novel decision-making method. The second stage is an optimal strategy which the optimization model is established to minimize the cost incurred by the local government considering two components of cost. The first stage is the reserve cost for the local government to prepare a certain amount of flexible procurement materials to respond to a public health emergency. The second is the scheduling cost when cooperative regions support medical resources. Theoretically, the optimal allocation of the reserve of different kinds of medical resources is deduced at the lowest cost. Through numerical simulation and sensitivity analysis, we explore the impacts of attribute weights, resource reserve capacity, unit costs, and the number of cooperative regions on the demand for different kinds of medical resources and the total costs incurred by local governments. This study provides a regional coordinated allocation framework and theoretical reference for government departments responding to the emergencies. [ABSTRACT FROM AUTHOR]

This paper studies passivity analysis and stability analysis for neural networks with time-variant delay. The time-variant delay is presumed to respond in trigonometric form. Firstly, a novel interval approximation method is constructed with adjustable parameters, which can be adjusted to reduce conservatism. According to the feature of time delay in trigonometric form, the specific allowable delay set can be obtained. Secondly, by introducing the delay-product-type parts in Lyapunov-Krasovskii functional (LKF), the emphatically improved passivity criterion and stability criterion with less conservatism are obtained by using the advanced inequalities. Finally, two numerical simulations are listed where our work can obtain larger maximum allowable delay bounds compared with other works, which demonstrate that the results based on the interval approximation method are less conservative. [ABSTRACT FROM AUTHOR]

This paper pays attention to investigating the exponential stability of stochastic multi-layer complex network with regime-switching diffusion (SMLCNRSD). Different from the existing stability results on stochastic complex network, what we research is to consider the regularity of the solution process under the local conditions, and make use of the truncation method to obtain the global existence and uniqueness of the solution. Using graph theory, Lyapunov method, as well as some stochastic analysis techniques, several sufficient criteria for exponential stability are attained by aperiodically intermittent control. Finally, the theoretical results are applied to study the exponential stability of a two-layer Hindmarsh-Rose neuron network with regime-switching diffusion. Moreover, the effectiveness of the results provided has been well demonstrated through numerical simulations. [ABSTRACT FROM AUTHOR]

In this paper, the memory property and the historical dynamic information of a fractional system via event-triggered control are studied. A unit step function is introduced and the control input is taken as a piecewise function. By theorem analysis and numerical simulations, it is shown that the fractional calculus of a piecewise function is relevant to the entire historical dynamic information and cannot be calculated in segments because of its memory property. So, the state of a fractional system via event-triggered control is affected by all input from the initial time, but not the triggering time, to the current time. But in previous studies, this property is neglected and the historical dynamic information has not been fully studied, which disagrees with the real physical systems. Therefore, the historical dynamic information of a fractional system via event-triggered control should be studied in order to satisfy the demands in engineering. [ABSTRACT FROM AUTHOR]

The secure message recovery problem in presence of cyber-attack is considered in this paper. The message is modulated by a master chaotic system which may be vulnerable to a cyber-attack and then transmitted to a receiver. By designing a novel observer at the receiver side, the message is recovered correctly. All the design process is performed in discrete-time domain which is suitable for digital communications. Besides, there are no restrictions on the message signal and nonlinear term signature matrix which makes the proposed approach more suitable in the real applications. Numerical simulations are introduced to show the feasibility and the superior performance of the proposed scheme in comparison with the conventional methods. [ABSTRACT FROM AUTHOR]

Effectively measuring the information content of Basic Probability Assignments (BPA) is a crucial prerequisite for addressing uncertain information within the framework of Dempster-Shafer theory. In previous research, uncertainty and dissimilarity measures for BPAs were often treated separately to counteract the impact of incomplete mutual exclusion between focal elements. In this paper, we introduce a Transient Mass Function (TMF) based on the process of pignistic probability transformation to forge a link between probabilistic and evidential information. As a transient state of BPA, the TMF not only considers the structural features of the focal element but also maintains its numerical content. Carrying out probabilistic information measures on the TMF is equivalent to performing belief information measures on the original BPA. Finally, validated by numerical simulations, TMF provides a unified and effective metric framework for evidential information. [ABSTRACT FROM AUTHOR]