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《Journal of The Franklin Institute》2022,359(8):3749-3767
This paper investigates practical stability problem for nonlinear impulsive stochastic delayed systems driven by G-Brownian motion (IGSDSs). Practical stability can describe quantitative properties and qualitative behavior in contrast to traditional Lyapunov stability theory. Based on G-Lyapunov function, Razumikhin-type theorem, G-Itô formula, Burkholder–Davis–Gundy (B-D-G) inequalities I & II and stochastic analysis technique, some new criteria for moment and quasi sure global practical uniform exponential stability of IGSDSs are proposed. Finally, two examples are presented to verify validity of our theoretical results. 相似文献
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《Journal of The Franklin Institute》2022,359(7):3046-3070
A social choice procedure is modeled as a Nash game among the social agents. The agents are communicating with each other through a social communication network modeled by an undirected graph and their opinions follow a dynamic rule modelling conformity. The agents’ criteria for this game are describing a trade off between self-consistent and manipulative behaviors. Their best response strategies are resulting in a dynamic rule for their actions. The stability properties of these dynamics are studied. In the case of instability, which arises when the agents are highly manipulative, the stabilization of these dynamics through the design of the network topology is formulated as a constrained integer programming problem. The constraints have the form of a Bilinear Matrix Inequality (BMI), which is known to result in a nonconvex feasible set in the general case. To deal with this problem a Genetic Algorithm, which uses an LMI solver during the selection procedure, is designed. Finally, through simulations we observe that in the case of topologies with few edges, e.g. a star or a ring, the isolation of the manipulative agents is an optimal (or suboptimal) design, while in the case of well-connected topologies the addition or the rewiring of just a few links can diminish the negative effects of manipulative behaviors. 相似文献
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《Journal of The Franklin Institute》2022,359(7):2833-2856
This paper deals with the exponential boundary stabilization for a class of Markov jump reaction-diffusion neural networks (MJRDNNs) with mixed time-varying delays, which is described by T-S fuzzy model. It is assumed that observed modes in boundary controller are not synchronized with the system modes. Based on a hidden Markov model (HMM), a novel asynchronous boundary control law is developed by using observed modes. Compared with the existing control strategies for distributed parameter systems, the asynchronous boundary control scheme can not only save the cost of the controller installation, but also bring less conservativeness. A delay-dependent sufficient condition to guarantee the exponentially mean square stability is established for T-S fuzzy MJRDNNs with mixed time-varying delays by constructing a Lyapunov functional and utilizing the vector-value Wirtinger-type inequality. Meanwhile, in order to get the designing scheme of the boundary controller, an equivalent LMI-based sufficient criterion is established. In the end, the effectiveness of the proposed results is illustrated by simulation examples. 相似文献
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《Journal of The Franklin Institute》2022,359(11):5778-5797
As a clean and environmentally friendly renewable energy source, photovoltaic (PV) energy has attracted widespread attention. DC-DC converters are an essential component of all PV systems and it is vital for them to maintain normal function. Therefore, research on fault detection and identification in DC-DC converters is significant. This paper designs a new type of adaptive sliding mode observer, which realizes parameter estimation and fault detection of components by ensuring the consistent boundedness of parameter estimation errors. When the system fails, the parameter estimated value and actual value of the observer will generate a residual signal which can be analyzed and compared with the designed threshold value. If the threshold value is exceeded, the component will be diagnosed as malfunctioning. Finally, the effectiveness of the method is verified by a digital online simulation and hardware-in-the-loop simulation. 相似文献
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《Journal of The Franklin Institute》2022,359(10):4751-4775
This paper investigates the synchronous control problem for a class of flexible telerobotic systems subject to system uncertainties and communication constraints. In view of the asymmetric time-varying communication delays, an adaptive time-delay estimator is designed to reduce the impacts of delays on the system. Moreover, by combining the neural networks and parameter adaptive method, the uncertainties of system dynamics are estimated and compensated. Based on these efforts, a new adaptive compensation control protocol is proposed. Additionally, input quantization in network control induced chattering phenomenon and unknown parameters is also dealt with by the adaptive compensation method. A useful characteristic of this paper is that the “complexity explosion” problem caused by the backstepping technique is circumvented effectively. Finally, sufficient conditions are derived for the synchronous control of the master-slave flexible telerobotic system under Lyapunov stability theory. A numerical example of flexible-joint robotic system is provided to illustrate the effectiveness of the proposed control schemes. 相似文献
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以2014年首届大学生体育舞蹈锦标赛为研究对象,采用文献资料法、专家访谈法和逻辑分析法,对首届大学生体育舞蹈锦标赛赛事举办过程中出现的各种问题进行分析,找出优势与不足,旨在为大学生体育舞蹈锦标赛能够更好地传承与发展提供参考。 相似文献
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