Matrix Equations, Spectral Problems and Stability of Dynamic Systems

"This volume contains the methods for localization of eigenvalues of matrices and matrix functions, based on the construction and study of the generalized Lyapunov equation. The theory of linear equations and operators in a matrix space is developed and the known theorems on the inertia of Hermitian solutions of matrix equations are generalized. The author develops new algebraic methods for stability analysis, an evaluation of spectrum and representation of solutions of linear arbitrary order differential and difference systems. The volume is intended for researchers, engineers and postgraduates interested in the theory of stability and stabilization of dynamic systems, matrix analysis and applications."--Publisher's website.