Recently, a number of Lyapunov matrix-based necessary and sufficient stability tests which
require a finite number of operations to be verified were presented for linear time-invariant …

The famous discretized Lyapunov functional method of K. Gu employing the functionals of
general structure with piecewise linear matrix kernels is known to deliver effective stability …

This study is dedicated to a comprehensive exploration aimed at advancing our
understanding of stability within dynamic systems. The focus is particularly on the intricate …

This brief presents design and development of a robust decentralized PID controller based
on a weighted sensitivity function through a robust region tuning method for a multivariable …

State responses for several classes of linear systems are investigated in this article. The
involved systems include state-delayed linear systems, and high-order linear systems. At …

Inspired by the widespread theory of complete-type Lyapunov-Krasovskii functionals, the
article considers an alternative class of Lyapunov-Krasovskii functionals that intends to …

This book is an extension of my doctoral dissertation, focusing on techniques for analyzing
stability (dissipativity) and achieving stabilization of linear systems that are characterized by …

This monograph is devoted to applications of the Kronecker decomposition approach for the
stability and stabilization of linear systems with nontrivial distributed delays through the …