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

Year 2020, Volume: 8 Issue: 2, 423 - 428, 27.10.2020

Ayşegül Keten , Ahmet Duman , Kemal Aydın

https://izlik.org/JA33HL69EY

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.

Keywords

differential equations , Floquet theory , Hurwitz stability , sensitivity , Schur stability

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