Local stability analysis using simulations and sum-of-squares programming
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[1] A. Packard,et al. Stability region analysis using sum of squares programming , 2006, 2006 American Control Conference.
[2] B. Tibken,et al. Computing the domain of attraction for polynomial systems via BMI optimization method , 2006, 2006 American Control Conference.
[3] Stephen P. Boyd,et al. Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.
[4] Weehong Tan,et al. Nonlinear Control Analysis and Synthesis using Sum-of-Squares Programming , 2006 .
[5] A. Garulli,et al. LMI‐based computation of optimal quadratic Lyapunov functions for odd polynomial systems , 2005 .
[6] A. Papachristodoulou. Scalable analysis of nonlinear systems using convex optimization , 2005 .
[7] G. Serpen. Search for A Lyapunov Function through Empirical Approximation by Artificial Neural Nets : Theoretical Framework , 2005 .
[8] B. Yegnanarayana,et al. Artificial Neural Networks , 2004 .
[9] R. Tempo,et al. Randomized Algorithms for Analysis and Control of Uncertain Systems , 2004 .
[10] Pablo A. Parrilo,et al. Semidefinite programming relaxations for semialgebraic problems , 2003, Math. Program..
[11] O. Hachicho,et al. Estimating domains of attraction of a class of nonlinear dynamical systems with LMI methods based on the theory of moments , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..
[12] B. Tibken. Estimation of the domain of attraction for polynomial systems via LMIs , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).
[13] Danil V. Prokhorov,et al. Application of SVM to Lyapunov function approximation , 1999, IJCNN'99. International Joint Conference on Neural Networks. Proceedings (Cat. No.99CH36339).
[14] Jos F. Sturm,et al. A Matlab toolbox for optimization over symmetric cones , 1999 .
[15] O. Toker,et al. On the NP-hardness of solving bilinear matrix inequalities and simultaneous stabilization with static output feedback , 1995, Proceedings of 1995 American Control Conference - ACC'95.
[16] M. Vidyasagar,et al. Nonlinear systems analysis (2nd ed.) , 1993 .
[17] J. Hauser,et al. Estimating Quadratic Stability Domains by Nonsmooth Optimization , 1992, 1992 American Control Conference.
[18] J. Thorp,et al. Stability regions of nonlinear dynamical systems: a constructive methodology , 1989 .
[19] A. Vicino,et al. On the estimation of asymptotic stability regions: State of the art and new proposals , 1985 .
[20] Mathukumalli Vidyasagar,et al. Maximal lyapunov functions and domains of attraction for autonomous nonlinear systems , 1981, Autom..
[21] C. A. Desoer,et al. Nonlinear Systems Analysis , 1978 .
[22] E. Davison,et al. A computational method for determining quadratic lyapunov functions for non-linear systems , 1971 .
[23] Davison,et al. A computational method for determining quadratic Lyapunov Functions for nonlinear systems , 1970 .