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    Article

    Adjoint Pairs of Differential-Algebraic Equations and Their Lyapunov Exponents

    This paper is devoted to the analysis of adjoint pairs of regular differential-algebraic equations with arbitrarily high tractability index. We consider both standard form DAEs and DAEs with properly involved ...

    Vu Hoang Linh, Roswitha März in Journal of Dynamics and Differential Equations (2017)

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    Chapter

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

    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 foc...

    Vu Hoang Linh, Do Duc Thuan in Numerical Algebra, Matrix Theory, Differen… (2015)

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    Chapter

    Robust Stability of Differential-Algebraic Equations

    This paper presents a survey of recent results on the robust stability analysis and the distance to instability for linear time-invariant and time-varying differential-algebraic equations (DAEs). Different sta...

    Nguyen Huu Du, Vu Hoang Linh… in Surveys in Differential-Algebraic Equation… (2013)

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    Article

    Lyapunov, Bohl and Sacker-Sell Spectral Intervals for Differential-Algebraic Equations

    Lyapunov and exponential dichotomy spectral theory is extended from ordinary differential equations (ODEs) to nonautonomous differential-algebraic equations (DAEs). By using orthogonal changes of variables, th...

    Vu Hoang Linh, Volker Mehrmann in Journal of Dynamics and Differential Equations (2009)