The topological complexity is a numerical invariant which measures the number of commands an auto... more The topological complexity is a numerical invariant which measures the number of commands an autonomous robot needs in order to move in a space to perform a task. To explain these ideas, we will walk through the various algebraic definitions and provide physical examples along the way. We calculate the topological complexity for various scenarios, starting with a single robot moving on a simple space, we will add on to this scenario towards a final case including more robots and more complicated spaces where they move. Finally, we provide an example where two driverless vehicles move in a track joining seven colleges throughout Chicago. We determine the number of instructions as well as their content for this case study.
The topological complexity is a numerical invariant which measures the number of commands an auto... more The topological complexity is a numerical invariant which measures the number of commands an autonomous robot needs in order to move in a space to perform a task. To explain these ideas, we will walk through the various algebraic definitions and provide physical examples along the way. We calculate the topological complexity for various scenarios, starting with a single robot moving on a simple space, we will add on to this scenario towards a final case including more robots and more complicated spaces where they move. Finally, we provide an example where two driverless vehicles move in a track joining seven colleges throughout Chicago. We determine the number of instructions as well as their content for this case study.
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Papers by Ricky Salgado