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155 results on '"Zong, Xiaofeng"'

16. Consensus conditions of continuous-time multi-agent systems with time-delays and measurement noises

Author

Zong, Xiaofeng, Li, Tao, and Zhang, Ji-Feng

Subjects
Computer Science - Systems and Control, 93E03, 93E15, 60H10, 94C15
Abstract

This work is concerned with stochastic consensus conditions of multi-agent systems with both time-delays and measurement noises. For the case of additive noises, we develop some necessary conditions and sufficient conditions for stochastic weak consensus by estimating the differential resolvent function for delay equations. By the martingale convergence theorem, we obtain necessary conditions and sufficient conditions for stochastic strong consensus. For the case of multiplicative noises, we consider two kinds of time-delays, appeared in the measurement term and the noise term, respectively. We first show that stochastic weak consensus with the exponential convergence rate implies stochastic strong consensus. Then by constructing degenerate Lyapunov functional, we find the sufficient consensus conditions and show that stochastic consensus can be achieved by carefully choosing the control gain according to the noise intensities and the time-delay in the measurement term.

Published
2016

17. Convergence and stability of two classes of theta-Milstein schemes for stochastic differential equations

Author

Zong, Xiaofeng, Wu, Fuke, and Xu, Guiping

Subjects
Mathematics - Numerical Analysis
Abstract

This paper examines convergence and stability of the two classes of theta-Milstein schemes for stochastic differential equations (SDEs) with non-global Lipschitz continuous coefficients: the split-step theta-Milstein (SSTM) scheme and the stochastic theta-Milstein (STM) scheme. For \theta\in[1/2,1], this paper concludes that the two classes of theta-Milstein schemes converge strongly to the exact solution with the order 1. For \theta \in [0,1/2], under the additional linear growth condition for the drift coefficient, these two classes of the theta-Milstein schemes are also strongly convergent with the standard order. This paper also investigates exponential mean-square stability of these two classes of the theta-Milstein schemes. For \theta\in(1/2, 1], these two theta-Milstein schemes can share the exponential mean-square stability of the exact solution. For \theta\in[0, 1/2], similar to the convergence, under the additional linear growth condition, these two theta-Milstein schemes can also reproduce the exponential mean-square stability of the exact solution., Comment: 28 pages

Published
2015

49. Group Hybrid Coordination Control of Multi-Agent Systems With Time-Delays and Additive Noises

Author

Li, Chuanjian and Zong, Xiaofeng

Abstract

A new kind of group coordination control problem-group hybrid coordination control is investigated in this paper. The group hybrid coordination control means that in a whole multi-agent system (MAS) that consists of two subgroups with communications between them, agents in the two subgroups achieve consensus and containment, respectively. For MASs with both time-delays and additive noises, two group control protocols are proposed to solve this problem for the containment-oriented case and consensus-oriented case, respectively. By developing a new analysis idea, some sufficient conditions and necessary conditions related to the communication intensity between the two sub-groups are obtained for the following two types of group hybrid coordination behavior: 1) Agents in one subgroup and in another subgroup achieve weak consensus and containment, respectively; 2) Agents in one subgroup and in another subgroup achieve strong consensus and containment, respectively. It is revealed that the decay of the communication impact between the two sub-groups is necessary for the consensus-oriented case. Finally, the validity of the group control results is verified by several simulation examples.

Published
2023
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