Integrated control methods for time varying preserved connectivity and communication delay in decentralized networks

Abstract

The integrated study on networks and control is a very challenging and promising research area. Since mobile agents in decent alized networks may spread in an arbitrary manner, one of the fundamental issues for location management, communication and data consensus in a mobile decentralized network is to maintain connectivity. Connectivity control may be classified as mobility control [1-3] and power or topology control [4][5][6]. Increasing power only for communication may shorten the lifetime of networks, and mobility control only may enlarger the communication delay.It is now well recognized that the dynamical behaviors of many communication processes contains inherent time delays. Time delays may result from the distributed nature of the communication system, information transitions, or from the time required to measure some of the signals. It is known that processes with time delays are inherently difficult to analyze and control [7] in the sense that it is difficult to achieve satisfactory performance. Therefore, analysis and design of time-delay systems with various types of disturbances has been a subject of great practical importance for several decades, see [8-10] and the references therein. Unfortunately, so far, the integrated power and mobility control methods for time varying preserved connectivity in decentralized networks with time varying communication delay has yet to be investigated, which helps motivate our current study.In this paper, inspired by previous works in [4,5], we deal with the integrated power and mobility control Abstract: Mobile agents' mobility and power limitation may result in communication delay. Then the network connectivity may be not maintained only by power control or mobility control in mobile decentralized network, so we provide integrated power and mobility control law design methods for preserved connectivity in this paper. Consider preserved connectivity and communication delay may be time varying, we extend previous works of power control and mobility control for connectivity, and design power control methods, integrated power and mobility control methods for power, position and velocity. We get the results that with time increasing, the communication radius approaches to the preserved value, the relative positions converge to the preserved position, and the velocities converge to a constant.