Spectrum-Based Robust Stability Analysis of Linear Delay Differential-Algebraic Equations

Vu Hoang Linh () and Do Duc Thuan ()
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Vu Hoang Linh: Vietnam National University, Faculty of Mathematics, Mechanics and Informatics
Do Duc Thuan: Hanoi University of Science and Technology, School of Applied Mathematics and Informatics

Chapter Chapter 19 in Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, 2015, pp 533-557 from Springer

Abstract: Abstract This paper presents a survey of results on the spectrum-based robust stability analysis of linear delay ordinary differential equations (DODEs) and linear delay differential-algebraic equations (DDAEs). We focus on the formulation of stability radii for continuous-time delay systems with coefficients subject to structured perturbations. First, we briefly overview important results on the stability radii for linear time-invariant DODEs and an extended result for linear time-varying DODEs. Then, we survey some recent results on the spectrum-based stability and robust stability analysis for general linear time-invariant DDAEs.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-15260-8_19

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DOI: 10.1007/978-3-319-15260-8_19

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