Stabilization of collective motion in synchronized, balanced and splay phase arrangements on a desired circle
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Cites background or result from "Stabilization of collective motion ..."
...Moreover, the controllers in [22] and [23] demand higher control effort....
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...These results are more general than [22] and [23] that had focused on stabilization of synchronized and balanced phase arrangements using QLF-based design approach and do not address the issue of bounded trajectories....
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6 citations
Cites result from "Stabilization of collective motion ..."
...This is similar to the balanced set defined in [4], [7]....
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References
2,795 citations
"Stabilization of collective motion ..." refers background in this paper
...which is also referred to as the phase order parameter [20]....
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669 citations
"Stabilization of collective motion ..." refers background in this paper
...collective circular motion of multivehicle system under cyclic pursuit is given in [15]....
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528 citations
"Stabilization of collective motion ..." refers background or methods in this paper
...On the other hand, in [2], the synchronized and balanced collective motions of the agents, initially rotating around individual circles of same radius, are stabilized on a common circle, which is centered at the prescribed location and have a radius similar to that of initial individual circles....
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...holds [1], [2], where bN/2c is the largest integer less than or equal to N/2....
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...All other critical points of U are isolated in the shape manifold TN/S1 and are saddle points of U [2]....
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...Previous work in this direction [2] has focused on achieving the common circular motion about a desired center when the angular frequencies of the initial circular motions of the agents, are same....
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...The m-th harmonic of the phase order parameter pθ , which plays an important role in stabilizing the splay phase arrangement, is given by [1], [2]...
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305 citations
"Stabilization of collective motion ..." refers background in this paper
...Some of the important properties of the inner product 〈·, ·〉, which are relevant in the framework of the present paper can be found in [19], and are listed below:...
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253 citations
"Stabilization of collective motion ..." refers background in this paper
...The orientation, θk of the velocity vector is also referred to as the phase of the k-th agent [16], [17]....
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