On Finding the Complexity of an Environment for the Operation of a Mobile Object on a Plane


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Abstract

We consider the problem of formally finding the complexity parameters of the environment for a moving object operating on a plane in the presence of obstacles. We give a mathematical justification for the method of calculating the complexity, introduce the concepts of local and integral complexities of the environment, give analytic formulas for calculating the complexity, and show simulation results.

About the authors

A. N. Karkishchenko

Research and Design Bureau of Robotics and Control Systems

Author for correspondence.
Email: karkishalex@gmail.com
Russian Federation, Taganrog

V. Kh. Pshikhopov

Research and Design Bureau of Robotics and Control Systems

Author for correspondence.
Email: pshichop@rambler.ru
Russian Federation, Taganrog

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