Moment exponential stability of stochastic nonlinear delay systems with impulse effects at random times

Hu, Wei; Zhu, Quanxin

doi:10.1002/rnc.4031

Cited by 44 publications

(25 citation statements)

References 31 publications

(40 reference statements)

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“…Overestimation and underestimation are uncertain. Processes like this are usually described by stochastic processes [47,48]. Figure 2 is an example of using the stochastic process to describe the fluctuation of the cognitive state.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Behavior Choice of Game Parties under the Interference of Cognition in the Game between Coal Miners and Supervisors

Wang²,

Wang

et al. 2021

Mathematical Problems in Engineering

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In the game between coal miners and supervisors, the behavior choices of the game parties will be affected by cognitive factors. The analysis of the behavior choices of coal miners and supervisors under the influence of cognitive factors is helpful for the design of violation behavior control strategies. Firstly, a description method of subjective cognition based on the mathematical method of quantum theory is designed. Secondly, taking the subjective cognition of coal miners and supervisors as a random variable, a behavior evolution model with random variables is constructed. Thirdly, the impact of subjective cognition on the behavior choices of coal miners and supervisors is analyzed. Finally, the violation behavior control strategy is designed. It is found that when the violation probability decreases to a certain extent, the probability of supervision will change from the increase to decrease. When the probability of supervision decreases to a certain extent, the violation probability will change from the decrease to increase. Fluctuations in cognitive state can affect the change process of violation probability and supervision probability. The behavior control strategy designed according to the behavior evolution model can control the violation behavior in the situation of cognitive state fluctuation.

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Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Behavior Choice of Game Parties under the Interference of Cognition in the Game between Coal Miners and Supervisors

Wang²,

Wang

et al. 2021

Mathematical Problems in Engineering

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“…As a type of hybrid dynamical system, impulsive systems embodying continuous and discrete dynamics are encountered in many fields such as biology, physics, and economics. Numerous applications in these fields motivate extensive investigations on the analysis and control of impulsive systems 1,2,10‐18 . Notably, the existing studies on impulsive systems involve two aspects, that is, impulsive control 1,2,10,12,17 and impulsive perturbation 11,13,15,16 .…”

Section: Introductionmentioning

confidence: 99%

Controllability analysis for a class of piecewise nonlinear impulsive non‐autonomous systems

Yan

Zhang

et al. 2021

Intl J Robust & Nonlinear

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This article investigates the controllability for a class of piecewise nonlinear impulsive non‐autonomous systems. The problem is addressed by considering the nonlinearities and impulses as perturbations. First, a standard framework is introduced to transform the issue of controllability to the existence of a fixed point by designing a proper admissible control and constructing a nonlinear operator on a Banach space. Then, two sufficient controllability conditions for such systems are developed by employing Schauder's and Rothe's fixed point theorems when the perturbations satisfy several nonlinear constraints including linear/sublinear growth conditions, bounded constraints, and Lipschitz conditions. It is shown that the controllability of such systems is influenced by the linear parts, the nonlinear perturbations, and the impulsive effects. Finally, the established controllability results are verified through several numerical examples.

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“…At present, many scholars are studying the impulsive control theory. Huang TW et al (2012), Wang X et al (2014), Li YM et al (2015), Sesekin and Nepp (2015), Li XD et al (2017), Hu and Zhu (2018), and Liu et al (2019) studied the control of nonlinear systems by some impulsive inputs. Geng and Duan (2007), Schoukens et al (2018), Shahrrava (2018), Wang JR et al (2018), and Wang YQ et al (2019) studied the effect of impulsive control on linear systems.…”

Section: Introductionmentioning

confidence: 99%

Consensus of multi-agent systems with dynamic join characteristics under impulsive control

Zhang

2021

Front Inform Technol Electron Eng

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We study how to achieve the state consensus of a whole multi-agent system after adding some new agent groups dynamically in the original multi-agent system. We analyze the feasibility of dynamically adding agent groups under different forms of network topologies that are currently common, and obtain four feasible schemes in theory, including one scheme that is the best in actual industrial production. Then, we carry out dynamic modeling of multi-agent systems for the best scheme. Impulsive control theory and Lyapunov stability theory are used to analyze the conditions so that the whole multi-agent system with dynamic join characteristics can achieve state consensus. Finally, we provide a numerical example to verify the practicality and validity of the theory.

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Moment exponential stability of stochastic nonlinear delay systems with impulse effects at random times

Cited by 44 publications

References 31 publications

Behavior Choice of Game Parties under the Interference of Cognition in the Game between Coal Miners and Supervisors

Behavior Choice of Game Parties under the Interference of Cognition in the Game between Coal Miners and Supervisors

Controllability analysis for a class of piecewise nonlinear impulsive non‐autonomous systems

Consensus of multi-agent systems with dynamic join characteristics under impulsive control

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