摘要：A book "Solution Bounds for Algebraic Equations in Control Theory" by Svetoslav Savov, has been recently published by "Prof. Marin Drinov" Academic Publishing House (ISBN 978-954-322-750-1). The research work is supported by FP7 Grant AComIn No 316087, funded by the European Commission for Capacity Programmes in 2012-2016. The book is intended for a wide circle of readers, including engineers, applied mathematicians, graduate students, etc., seeking a comprehensive view of the main results on the estimation of solutions of four algebraic equations, namely, the continuous-time and the discrete-time Lyapunov and Riccati equations. The book is organized as follows. A detailed summary of the proposed various solution bounds for the considered algebraic equations since 1970-ies, is presented in Chapter I. Different approaches are discussed in order to demonstrate the efficiency and the shortcomings of a particular method.
