Consensus under communication delays

• This paper deals with the consensus problem under communication network inducing delays. It is well-known that introducing a delay leads in general to a reduction of the performance or to instability due to the fact that timedelay systems are infinite dimensional. For instance, the set of initial conditions of a time-delay system is not a vector but a function taken in an interval. Therefore, investigating the effect of time-delays in the consensus problem is an important issue. In the present paper, we assume that each agent receives instantaneously its own state information but receives the state information from its neighbors after a constant delay. Two stability criteria are provided based on the frequency approach and on Lyapunov-Krasovskii techniques given in terms of LMI. An analytic expression of the consensus equilibrium which depends on the delay and on the initial conditions taken in an interval is derived. The efficiency of the method is tested for different network communication schemes.

Ämnesord

NATURVETENSKAP  -- Data- och informationsvetenskap -- Systemvetenskap, informationssystem och informatik (hsv//swe)

NATURAL SCIENCES  -- Computer and Information Sciences -- Information Systems (hsv//eng)

Nyckelord

Analytic expressions

Communication delays

Communication networks

Consensus problems

Constant delays

Frequency approaches

Infinite dimensional

Initial conditions

Lyapunov-Krasovskii

Network communication schemes

State informations

Time- delays

Time-delay systems

Communication

Delay control systems

Linear control systems

Telecommunication networks

Time delay

Stability criteria

Systems engineering

Systemteknik

Publikations- och innehållstyp

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