Coordination, consensus, and synchronization are found in diverse natural phenomena and engineering applications. Examples are flocking birds, illuminating fireflies, a school of fish, and distributed control and sensing. The simplest of such problems are set in the Euclidean spaces and the circle. Consensus and Synchronization: From the Euclidean Space and the Circle to Lie Groups moves beyond this domain to the more sophisticated setting of Lie groups with bi-invariant metrics and extends the mathematical theories of consensus and synchronization for generic scenarios. This is relevant to applications such as robotics, autonomous vehicles, and spacecraft.
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Connecting natural phenomena with advanced engineering, this work redefines coordination and synchronization by moving beyond basic Euclidean models into the realm of Lie groups with bi-invariant metrics. It transforms the harmony of flocking birds and schooling fish into insights for robotics, autonomous vehicles, and spacecraft.
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Produktdetaljer

ISBN
9781611978797
Publisert
2026-01-13
Utgiver
Society for Industrial & Applied Mathematics,U.S.
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
86

Biografisk notat

Rama Seshan Chandrasekaran is a project officer at the Robotics Research Centre, Department of Mechanical and Aerospace Engineering, Nanyang Technological University Singapore. His research interests include differential geometry, topology, geometric physics and Lie Groups. He was a finalist for the Best Student Paper award at the European Control Conference in 2022.

Ravi N Banavar is institute chair professor in systems and control engineering at the Indian Institute of Technology Bombay. He had a brief teaching stint at UCLA (1991–1992) before joining the systems and control engineering group at IIT Bombay. His research interests are in the field of geometric mechanics and nonlinear and optimal control with applications to electromechanical and aerospace engineering problems. He is an associate editor of Systems and Control Letters, on the editorial advisory board of the International Journal of Control, and a technical associate editor of the IEEE Control Systems Society Magazine.

Arun D Mahindrakar is a professor in the department of electrical engineering at the Indian Institute of Technology Madras. He was a Postdoctoral Fellow with the Laboratory of Signals and Systems, Supelec in Paris from 2004 to 2005. His research interests include nonlinear stability, geometric control, formation control of multi-agent systems, and convex optimization.