Stability and Robust Stability of Linear Time-Invariant Delay Differential-Algebraic Equations
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[1] Guangdi Hu,et al. Real stability radii of linear time-invariant time-delay systems , 2003, Syst. Control. Lett..
[2] Nguyen Khoa Son,et al. Stability radius of linear delay systems , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).
[3] Qing-Chang Zhong,et al. Robust Control of Time-delay Systems , 2006 .
[4] E. Griepentrog,et al. Differential-algebraic equations and their numerical treatment , 1986 .
[5] Stephen L. Campbell. Nonregular 2D descriptor delay systems , 1995 .
[6] F. R. Gantmakher. The Theory of Matrices , 1984 .
[7] Jiang Wei,et al. Eigenvalue and stability of singular differential delay systems , 2004 .
[8] Volker Mehrmann,et al. Analysis of Linear Variable Coefficient Delay Differential-Algebraic Equations , 2014 .
[9] Stephen L. Campbell,et al. Stability criteria for differential-algebraic equations with multiple delays and their numerical solutions , 2009, Appl. Math. Comput..
[10] P. Rentrop,et al. Differential-Algebraic Equations , 2006 .
[11] Linda R. Petzold,et al. Numerical solution of initial-value problems in differential-algebraic equations , 1996, Classics in applied mathematics.
[12] L. Mirsky,et al. The Theory of Matrices , 1961, The Mathematical Gazette.
[13] Volker Mehrmann,et al. Where is the nearest non-regular pencil? , 1998 .
[14] C. Baker,et al. Differential algebraic equations with after-effect , 2002 .
[15] L. Shampine,et al. Delay-differential-algebraic equations in control theory , 2006 .
[16] S. Lang. Complex Analysis , 1977 .
[17] D. Hinrichsen,et al. Stability radii of linear systems , 1986 .
[18] J. Willems,et al. On Differential Algebraic Systems , 1995 .
[19] A. Bellen,et al. Numerical methods for delay differential equations , 2003 .
[20] Nancy Nichols,et al. On the stability radius of a generalized state-space system , 1993 .
[21] Linda R. Petzold,et al. Asymptotic stability of Hessenberg delay differential-algebraic equations of retarded or neutral type , 1998 .
[22] Wim Michiels,et al. Spectrum-based stability analysis and stabilisation of systems described by delay differential algebraic equations , 2011 .
[23] W. R. Howard,et al. Mathematical Systems Theory I: Modelling, State Space Analysis, Stability and Robustness , 2005 .
[24] Tatjana Stykel,et al. On criteria for asymptotic stability of differential-algebraic equations , 2002 .
[25] E. Hairer,et al. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .
[26] T. Stykel. Analysis and Numerical Solution of Generalized Lyapunov Equations , 2002 .
[27] S. Campbell. Singular systems of differential equations II , 1980 .
[28] Uri M. Ascher,et al. The numerical solution of delay-differential-algebraic equations of retarded and neutral type , 1995 .
[29] Volker Mehrmann,et al. Lyapunov, Bohl and Sacker-Sell Spectral Intervals for Differential-Algebraic Equations , 2009 .
[30] Linda R. Petzold,et al. Asymptotic stability of linear delay differential-algebraic equations and numerical methods , 1997 .
[31] Do Duc Thuan,et al. Stability radius of implicit dynamic equations with constant coefficients on time scales , 2011, Syst. Control. Lett..
[32] Peter C. Müller. On the stability of linear descriptor systems by applying modified Lyapunov equations , 2003 .
[33] Diederich Hinrichsen,et al. Mathematical Systems Theory I , 2006, IEEE Transactions on Automatic Control.
[34] Dirk Roose,et al. Periodic Solutions of Differential Algebraic Equations with Time Delays: Computation and Stability Analysis , 2006, Int. J. Bifurc. Chaos.
[35] Hongjiong Tian,et al. Asymptotic Stability of Linear Neutral Delay Differential-Algebraic Equations and Linear Multistep Methods , 2011, SIAM J. Numer. Anal..
[36] René Lamour,et al. Differential-Algebraic Equations: A Projector Based Analysis , 2013 .
[37] D. Hinrichsen,et al. Stability radius for structured perturbations and the algebraic Riccati equation , 1986 .
[38] Volker Mehrmann,et al. Stability properties of differential-algebraic equations and Spin-stabilized discretizations. , 2007 .
[39] Volker Mehrmann,et al. ANALYSIS AND REFORMULATION OF LINEAR DELAY DIFFERENTIAL-ALGEBRAIC EQUATIONS ‡ , 2012 .
[40] E. Fridman. Stability of linear descriptor systems with delay: a Lyapunov-based approach , 2002 .
[41] Shengyuan Xu,et al. Robust stability and stabilization for singular systems with state delay and parameter uncertainty , 2002, IEEE Trans. Autom. Control..
[42] Ricardo Riaza,et al. Differential-Algebraic Systems: Analytical Aspects and Circuit Applications , 2008 .
[43] J. Hale. Theory of Functional Differential Equations , 1977 .
[44] Ernst Hairer,et al. Computing breaking points in implicit delay differential equations , 2008, Adv. Comput. Math..
[45] Vu Hoang Linh,et al. Robust Stability of Differential-Algebraic Equations , 2013 .
[46] Volker Mehrmann,et al. Differential-Algebraic Equations: Analysis and Numerical Solution , 2006 .