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In this paper, we consider the coordinated motion of multiple dynamic agents via nearest neighbor rules based on fixed and switching topologies, respectively. We design the control law which consists of two parts: a potential field force that makes the agents attract to each other and at the same time avoid collision in the group, and an alignment force that makes all dynamic agents' headings and...
This paper considers the consensus of the leader-following systems with a discrete-time model. The velocity of the active leader is unknown in real time. This paper designs the control laws and observers based on the neighbors to solve the consensus problem. The Lyapunov approach has played an important role in the leader-following systems. It is shown that all agents asymptotically move with the...
Firstly, we give the definition of an L-bifuzzy Scott closed subset and prove its related properties, then, we give the definition of an L-bifuzzy Scott co-topological space, study its properties and equivalently characterize it which is a generalization of the Scott co-topological space in the classical topology theory. Finally, we establish the relationships of L-bifuzzy domain, L-bifuzzy lower...
Firstly, we present some characterizations of L-fuzzy poset and their corresponding proofs. Then, we give the definition of L-fuzzy upper set and prove its related properties. Next, we define the concept of L-fuzzy Co-Alexandrov topological space on an L-fuzzy poset (X, e). We further study the properties of L-fuzzy Co-Alexandrov topological space and equivalent characterizations, which are generalizations...
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