| The consensus of multi-agent systems has attracted wide interests here and abroad,due to it's broad application in many areas such as biology,chemistry,aerospace,economics and so on.Finite-time consensus,as a fundamental of consensus problem,has received a great deal of attention in recent years.In general,finite-time consensus of multi-agent systems is usually achieved by designing properly input control protocol,and via Lyapunov stability theory and linear matrix inequality theory.Due to the high restrictive demands for current input control protocol on the systems,those protocols may cause two problem in practical application.Firstly,due to the existence of inner nonlinear dynamics and time-varying delays for transmitting information in real life,current control protocol can't achieve a desired result.Secondly,when the state of multi-agent suddenly changes or abruptly transmit information each other,the classical control protocol may not adapt to the change of state of multi-agent systems.Therefore,motivated by the above discussion and based on the existing research results,the finite-time consensus problem of the second-order multi-agent systems was considered by designing different control protocol in this paper.Specific research contents in this paper are as follows:1.To solve finite-time consensus of second-order nonlinear multi-agent systems with distributed time-varying delays,by designing a control protocol with distributed time-varying delays.Based on the Lyapunov functional and integral inequality,some sufficient conditions for finite-time consensus of multi-agent systems was obtained,and the feasibility of the theory was verified by several illustrative numerical example.2.Considered by abruptly transmit information each other,an impulsive switching protocol for finite-time consensus of second-order systems is proposed.By utilizing impulsive control theory and finite-time stability theory,the sufficient conditions were derived for finite-time consensus of multi-agent systems. |
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