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Volterra Equations in the Control Problem of Mechanical Systems

Aleksandr AndreevDepartment of Information Security and Control Theory, Ulyanovsk State University, Ulyanovsk, RussiaOlga PeregudovaDepartment of Information Security and Control Theory, Ulyanovsk State University, Ulyanovsk, Russia
2019en
ABI

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The paper presents the solution to the steady motion stabilization problem for holonomic mechanical system by using the sampled-data controller without velocity measurements. The development of a Lyapunov functionals method is presented to solve the stability problem of Volterra integro-differential equations. We illustrate the implementation of the stability theorem obtained by solving the motion stabilization problem of a two-link planar robot manipulator.

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