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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
This paper considers a group of mobile agents moving in Euclidean space with switched network topology. We propose a feedback control algorithm that achieves velocity consensus with weighted directed switched velocity graph and stabilize all position neighboring agents inter-distance to a same desired value. Due to switched position/velocity graph introducing discontinuities in the agent local control laws, we employ nonsmooth analysis and differential inclusion to analyze the stability properties of the multi-agent system. The main results are that the position and velocity graph remaining connected/weakly connected are satisfied at all times, then alpha-Lattice can always be realized. Furthermore, if the initial energy of the system is less than a certain value depending on alpha-Lattice, then collision can be avoided.?????