Proceedings of the 45th IEEE Conference on Decision and Control 2006
DOI: 10.1109/cdc.2006.376843
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Locally Interacting Hybrid Systems with Embedded Graph Grammars

Abstract: Abstract-In many cooperative control methods, the network topology in¤uences the evolution of its continuous states. In turn, the continuous state may in¤uence the network topology due to local restrictions on connectivity. In this paper we present a grammatical approach to modeling and controlling the switching of a system's network topology, continuous controllers, and discrete modes. The approach is based on embedded graph grammars, which restrict interactions to small subgraphs and include spatial restrict… Show more

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Cited by 28 publications
(29 citation statements)
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“…Hybrid system theory (HST) offers an alternative, where the system can be represented by both discrete and continuous states. HST has been used in the context of swarm robotics, multirobot systems, and other multi-agent systems (Tomlin et al 1998;Fierro et al 2001;McNew and Klavins 2006;McNew et al 2007;Zavlanos et al 2009;Mesquita 2010;Mesquita and Hespanha 2012). Belta et al (2007), for example, use HST in a motion planning problem.…”
Section: Formal Methods In Swarm Roboticsmentioning
confidence: 99%
See 1 more Smart Citation
“…Hybrid system theory (HST) offers an alternative, where the system can be represented by both discrete and continuous states. HST has been used in the context of swarm robotics, multirobot systems, and other multi-agent systems (Tomlin et al 1998;Fierro et al 2001;McNew and Klavins 2006;McNew et al 2007;Zavlanos et al 2009;Mesquita 2010;Mesquita and Hespanha 2012). Belta et al (2007), for example, use HST in a motion planning problem.…”
Section: Formal Methods In Swarm Roboticsmentioning
confidence: 99%
“…Its sensory input-which other robots are perceived-is used to select the controller to be executed. In McNew and Klavins (2006);McNew et al (2007), HST is used for the problem of organising the robots into subgroups while maintaining the overall connectivity. The formal properties are guaranteed by the use of embedded graph grammars.…”
Section: Formal Methods In Swarm Roboticsmentioning
confidence: 99%
“…The work in [46] developed a Melt-Grow algorithm where an initial configuration is melted into an intermediate configuration, and a goal configuration is grown out of the intermediate configuration. Similar approaches include agent-based approach [47], cellular automaton generator [48], and embedded graph grammar model [49].…”
Section: Reconfiguration Problemsmentioning
confidence: 99%
“…Here we take advantage of Embedded Graph Grammars (EGGs) to tackle these constraints, as initially introduced in [14], [15]. It allows us to encode the robot dynamics, local information exchange and switching control modes in a unified hybrid scheme.…”
mentioning
confidence: 99%