Sensitivity of Hurwitz Stability of Linear Differential Equation Systems with Periodic Coefficients

Abstract

By using Hurwitz stability of a linear differential equation system (in short, LDES) with constant coefficients, and using Schur stability of a linear difference equation system (in short, LDIES) with constant coefficients, we have obtained two new continuity theorems for sensitivity of Hurwitz stability of a LDES with periodic coefficients. Our approach to the theorems is based on Floquet theory. Also, we have determined stability regions and supported the obtained results by a numerical example.