Abstract
In this paper, we consider the problem of average consensus for wireless sensor networks (WSNs). By applying the Lyapunov function and the M-matrix approach, several sufficient conditions to ensure the average consensus in p th moment for WSNs with Markovian switching topology are derived. Also we study the stochastic average consensus in the large for WSNs with Markovian switching topology, whose transition jump rates matrix is not precisely known. We finally show the numerical simulations to illustrate the effectiveness of the results derived in this paper.
Highlights
With the increasing development of microelectronics, wireless communication and computing, wireless sensor networks (WSNs) have been more widely used in such areas as robotics, surveillance, environment monitoring, information collection, and so on.From a network-theoretic perspective, a WSN can be looked upon as a multi-agent system (MAS) with each node representing a sensor and each edge performing information exchange between sensors
To the best of our knowledge, the method combining the Lyapunov function and the M-matrix is rarely used in the researching area of the average consensus in pth moment for WSNs with Markovian switching topology and stochastic noises
The present paper considers the consensus in pth moment for WSNs with Markovian switching topology and stochastic noises in communication
Summary
With the increasing development of microelectronics, wireless communication and computing, wireless sensor networks (WSNs) have been more widely used in such areas as robotics, surveillance, environment monitoring, information collection, and so on. To study the average consensus for the WSNs with Markovian switching topology and stochastic noises, we take advantage of the pth moment exponential stability theory [ ] which is widely applied to the system stability analysis [ – ]. To the best of our knowledge, the method combining the Lyapunov function and the M-matrix is rarely used in the researching area of the average consensus in pth moment for WSNs with Markovian switching topology and stochastic noises. The stochastic average consensus in the large for WSNs with Markovian switching topology, whose transition jump rates matrix is not precisely known, is rarely discussed. The present paper considers the consensus in pth moment for WSNs with Markovian switching topology and stochastic noises in communication. If A is a matrix, λmin(A) and λmax(A) denote the smallest and largest eigenvalues of A, respectively
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