Affiliation: NYU Abu Dhabi
Education: PhD Indian Institute of Technology Kanpur
Research Websites: Center for Artificial Intelligence and Robotics (CAIR)
Research Areas: Geometric control theory, control on Lie groups, consensus on Lie groups, consensus on smooth manifolds
Akhil Krishna received a Bachelor of Technology (BTech) degree in Mechanical Engineering from TKM College of Engineering, India in 2014. Thereafter, he joined the Indian Institute of Technology Kanpur from where he obtained the MTech degree in Aerospace Engineering in 2016. He worked as a Project Engineer in the Department of Aerospace Engineering, IIT Kanpur from 2016 to 2018. He joined the same department as a PhD candidate in 2018. Currently, he is working as a Research Engineer at the Center for Artificial Intelligence and Robotics (CAIR), New York University Abu Dhabi.
Consensus algorithms are examples of distributed algorithms that enable a group of agents to achieve consensus on a common value despite their difference in the initial conditions and dynamics. Such algorithms are studied and well established for multi-agents evolving on Euclidean space of finite dimensions. However, the configuration space of the majority of the mechanical, aerospace, and underwater systems cannot be represented by an Euclidean space, but rather a curved space, or more accurately a smooth manifold. We focus on developing consensus algorithms on smooth manifolds.