Robust stability bounds for nonclassically damped systems with multi-directional perturbations

This paper investigates the stability robustness of nonclassically damped systems with multidirectional perturbations. Bounds on uncertain parameters that maintain the stability of an asymptotically stable, linear multi-degree-of-freedom system with nonclassical damping are derived using specific Lyapunov functions. The explicit nature of the construction permits us to directly express the algebraic criteria in terms of physical parameters of the system. Numerical examples are given to illustrate the effect of the proposed approach.