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By Samuel Eilenberg

ISBN-10: 0080873758

ISBN-13: 9780080873756

ISBN-10: 0122340027

ISBN-13: 9780122340024

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Michael, and V. Kumar, “Controlling swarms of robots using interpolated implicit functions,” in Proc. of the IEEE Int. Conf. on Robotics and Automation, Barcelona, Spain, April 2005, 24872492. [11] M. A. Hsieh, S. G. Loizou, and V. Kumar, “Stabilization of multiple robots on stable orbits via local sensing,” in Proc. of the IEEE Int. Conf. on Robotics and Automation, Rome, Italy, April 2007, To Appear. [12] V. de Silva and R. Ghrist, “Homological sensor networks,” Notices of the American Mathematical Society, vol.

The A= It is worthwhile to examine the physical significance of the dynamics (10). It represents a pendulum in a modulated “gravity” field. The strength of this field can be modulated as g sin θ1 by controlling the angle θ1 . The pendulum behaves as a regular or inverted pendulum depending on the sign of sin θ sin θ1 . Also, the “gravity” field may be switched off by setting θ1 = 0. This gives rise to a continuum of equilibria ¯ θ˙ = 0, θ1 = 0], where θ¯ is arbitrary. given by [θ = θ, III. C LOSED L OOP C ONTROL A.

Stavens, S. Thrun, and G. Bradski. Selfsupervised monocular road detection in desert terrain. June 2006. [3] S. B. Goldberg, M. Maimone, and L. Matthies. Stereo vision and robot navigation software for planetary exploration. March 2002. [4] T. Hong, T. Chang, C. Rasmussen, and M. Shneier. Road detection and tracking for autonomous mobile robots. In Proc. of SPIE Aeroscience Conference, 2002. [5] A. Huertas, L. Matthies, and A. Rankin. Stereo-based tree traversability analysis for autonomous off-road navigation.

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Automata, languages, and machines by Samuel Eilenberg


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