Robust Root Clustering of Linear Systems with Structured Uncertainties
Xiao Jian · Control theory & applications · 1996
Using generalized Lyapunov equation approach, this paper studies the problem of root clustering in some subregions of the complex plane for the linear time -invariant systems with structured uncertainties. If all the eigenvalues of the nominal matrix are within a specific region of complex plane,the proposed sufficient conditions will guarantee the root clustering of the perturbed matrix in the same region under structured uncertainties. The criteria presented here are less conservative than the results currently available in the literature.