Stability analysis of cooperation system of two robot arms

In this paper we study the stability problem of a hybrid system composed of two robots, where the appropriate cooperation of robots are expected to work efficiently. The performance of system depends directly upon one main factor: the coordination movement of the robots. The stability analysis of the system results in a model of uniform Euler-Bernoulli beams with linear and non-collocated boundary feedback controller. We prove that the system is exponentially stable with suitable choice of parameters of the system. In particular, we show that the system satisfies the spectrum determine growth condition.