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Cited by 127 publications
(90 citation statements)
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“…By taking into account (18) and using precisely the same arguments with those in the proof of Proposition 3, it suffices to show that the first term of inequality (103), which by virtue of (9) is equal to…”
Section: Lemma 7 (A) It Holdsmentioning
confidence: 99%
See 1 more Smart Citation
“…By taking into account (18) and using precisely the same arguments with those in the proof of Proposition 3, it suffices to show that the first term of inequality (103), which by virtue of (9) is equal to…”
Section: Lemma 7 (A) It Holdsmentioning
confidence: 99%
“…Other approaches to the problem of connectivity maintenance include [9], where controllers that additionally guarantee collision avoidance are designed, bounded potential field based control laws [1], decentralized navigation functions [8], [18], hybrid control policies [40], algorithmic solutions for discrete time second order agents [30] and optimization frameworks for the maximization of the second smallest Laplacian eigenvalue [11] (see also [2], [37], [38], [39]). A detailed literature review on the subject can be also found in the survey paper [41].…”
mentioning
confidence: 99%
“…However, a real robot is never a point, and therefore collision avoidance cannot be negligible when several robots work together in a region. Collision avoidance itself, especially for nonholonomic mobile robots, is a challenging problem (see Kan, Dani, Shea, &Dixon, 2012, Mastellone, Stipanović, Graunke, Intlekofer, &Spong, 2008 andreferences therein). Designing a totally distributed and mathematically provable bearing-only collision avoidance algorithm remains an unsolved problem and we are still working on it.…”
Section: Collision Avoidancementioning
confidence: 99%
“…This protocol is superior to many existing ones because it uses a nonlinear control strategy that inevitably models realworld formation control problems better than linear ones (c.f. [9]). The communication delays of this method, furthermore, are more reflective of the real local delays in information exchange than those of other protocols because the agent's own information x i (t) (which is accurate at time t) is received together with x j (t − τ ) of its neighbors (which were accurate at time t − τ earlier) at time t (most existing protocols assume that agent i receives x i (t−τ ) and x j (t−τ ) at time t cf.…”
Section: A Time-varying Consensusmentioning
confidence: 99%
“…This control protocol is very practical in design and highly suitable for applications even though coupling time delays and transmission noise perturbations have been completely ignored. Time delays, however, are always present in real-world physical systems [2,3,[5][6][7][8][9] and time-delay-free protocols are prone to be unstable in simulation experiments. By the same token, noise disturbances are prevalent in nature with system properties being typically susceptible to their effects [10][11][12].…”
Section: Introductionmentioning
confidence: 99%