Generating Functions of Switched Linear Systems: Analysis, Computation, and Stability Applications
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[1] Jianghai Hu,et al. Stability of switched linear systems on cones: A generating function approach , 2010, 49th IEEE Conference on Decision and Control (CDC).
[2] L. Gurvits. Stability of discrete linear inclusion , 1995 .
[3] Vincent D. Blondel,et al. Overlap-free words and spectra of matrices , 2007, Theor. Comput. Sci..
[4] V. Kozyakin. ITERATIVE BUILDING OF BARABANOV NORMS AND COMPUTATION OF THE JOINT SPECTRAL RADIUS FOR MATRIX SETS , 2008, 0810.2154.
[5] N. Barabanov. Lyapunov exponent and joint spectral radius: some known and new results , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.
[6] M. Branicky. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems , 1998, IEEE Trans. Autom. Control..
[7] A. Morse,et al. Stability of switched systems: a Lie-algebraic condition ( , 1999 .
[8] Y. Nesterov,et al. On the accuracy of the ellipsoid norm approximation of the joint spectral radius , 2005 .
[9] John N. Tsitsiklis,et al. The Lyapunov exponent and joint spectral radius of pairs of matrices are hard—when not impossible—to compute and to approximate , 1997, Math. Control. Signals Syst..
[10] Tingshu Hu,et al. Stabilization of Switched Systems via Composite Quadratic Functions , 2008, IEEE Transactions on Automatic Control.
[11] Tamás Terlaky,et al. A Survey of the S-Lemma , 2007, SIAM Rev..
[12] D. Stanford,et al. Some Convergence Properties of Matrix Sets , 1994 .
[13] Hai Lin,et al. Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results , 2009, IEEE Transactions on Automatic Control.
[14] R. Jungers. The Joint Spectral Radius: Theory and Applications , 2009 .
[15] J. Tsitsiklis,et al. The boundedness of all products of a pair of matrices is undecidable , 2000 .
[16] A. Jadbabaie,et al. Approximation of the joint spectral radius using sum of squares , 2007, 0712.2887.
[17] E. Hille. Analytic Function Theory , 1961 .
[18] Xiangbo Feng. Lyapunov exponents and stability of linear stochastic systems , 1990 .
[19] Robert Shorten,et al. A Numerical Technique for Stability Analysis of Linear Switched Systems , 2004, HSCC.
[20] J. Theys. Joint spectral radius : theory and approximations/ , 2005 .
[21] Vincent D. Blondel,et al. Approximations of the Rate of Growth of Switched Linear Systems , 2004, HSCC.
[22] Daniel Liberzon,et al. Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.
[23] Vincent D. Blondel,et al. Joint Spectral Characteristics of Matrices: A Conic Programming Approach , 2010, SIAM J. Matrix Anal. Appl..
[24] Robert Shorten,et al. Stability Criteria for Switched and Hybrid Systems , 2007, SIAM Rev..
[25] M. Morari,et al. Stability and stabilization of piecewise affine and hybrid systems: an LMI approach , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).
[26] Y. Pyatnitskiy,et al. Criteria of asymptotic stability of differential and difference inclusions encountered in control theory , 1989 .
[27] Alberto Bemporad,et al. Optimal control of continuous-time switched affine systems , 2006, IEEE Transactions on Automatic Control.
[28] F. Facchinei,et al. Finite-Dimensional Variational Inequalities and Complementarity Problems , 2003 .
[29] Yoav Sharon,et al. Third-Order Nilpotency, Nice Reachability and Asymptotic Stability ? , 2007 .
[30] F. Wirth. The generalized spectral radius and extremal norms , 2002 .
[31] Rapha L. Jungers. The Joint Spectral Radius , 2009 .
[32] A. Morse,et al. Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).
[33] Alessandro Abate,et al. Efficient suboptimal solutions of switched LQR problems , 2009, 2009 American Control Conference.
[34] Michael Margaliot,et al. On the Stability of Positive Linear Switched Systems Under Arbitrary Switching Laws , 2009, IEEE Transactions on Automatic Control.
[35] L. Arnold. Random Dynamical Systems , 2003 .
[36] Jianghai Hu,et al. Stability of discrete-time conewise linear inclusions and switched linear systems , 2010, Proceedings of the 2010 American Control Conference.
[37] Michael Margaliot,et al. Nice reachability for planar bilinear control systems with applications to planar linear switched systems , 2009, IEEE Transactions on Automatic Control.
[38] Michael Margaliot,et al. Stability analysis of switched systems using variational principles: An introduction , 2006, Autom..
[39] Daniel Liberzon,et al. Lie-algebraic conditions for exponential stability of switched systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).
[40] S. Pettersson,et al. LMI for stability and robustness of hybrid systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).
[41] Anders Rantzer,et al. Piecewise linear quadratic optimal control , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).