Resumen de Independent of delay stabilization using implicit Lyapunov function method

Konstantin Zimenko, Denis Efimov, Andrey Polyakov, Artem Kremlev

• Nonlinear implicit Lyapunov function based control algorithms with delay in control and/or measurement channel are presented. The proposed control algorithms provide global asymptotic stability for all delays less than a certain threshold value and global asymptotic stability with respect to a compact set containing the origin for any delay over the threshold value. The algorithms are also applicable for the fast-varying delay and sampled-data cases. The theoretical results are supported by numerical simulations and comparison.