Parameter-Dependent Lyapunov Functions and Stability Analysis of Linear Parameter-Dependent Dynamical Systems
暂无分享,去创建一个
[1] Timothy N. Davidson,et al. Block bialternate sum and associated stability formulae , 1995, Autom..
[2] A. I. Barkin,et al. Method of power transformations for analysis of stability of nonlinear control systems , 1983 .
[3] Panagiotis Tsiotras,et al. Reducing Conservatism for Gain-Scheduled H_inf Controllers for AMB's , 1997 .
[4] D. Bernstein,et al. Robust stability and performance analysis for state-space systems via quadratic Lyapunov bounds , 1990 .
[5] R. Brockett. Lie Algebras and Lie Groups in Control Theory , 1973 .
[6] S. Yau. Mathematics and its applications , 2002 .
[7] Panagiotis Tsiotras,et al. A unified approach to time-delay system stability via scaled small gain , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).
[8] Pierre Apkarian,et al. Robust pole placement in LMI regions , 1999, IEEE Trans. Autom. Control..
[9] Dimitri Peaucelle,et al. Robust performance analysis with LMI-based methods for real parametric uncertainty via parameter-dependent Lyapunov functions , 2001, IEEE Trans. Autom. Control..
[10] Dennis S. Bernstein,et al. Guardian map approach to robust stability of linear systems with constant real parameter uncertainty , 1994, IEEE Trans. Autom. Control..
[11] Eyad H. Abed,et al. Guardian maps and the generalized stability of parametrized families of matrices and polynomials , 1990, Math. Control. Signals Syst..
[12] Jean-Michel Dion,et al. Stability and robust stability of time-delay systems: A guided tour , 1998 .
[13] J. Doyle,et al. Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.
[14] 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.
[15] Wilson J. Rugh,et al. A stability result for linear parameter-varying systems , 1995 .
[16] Pierre-Alexandre Bliman,et al. Nonconservative LMI approach to robust stability for systems with uncertain scalar parameters , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..
[17] J. M. Cohen,et al. Mexico City : México , 1965 .
[18] K. Narendra,et al. Frequency Domain Criteria for Absolute Stability , 1973 .
[19] M. Darouach,et al. Expansion of det(A+B+C) and robustness analysis of discrete-time state-space systems , 1995, IEEE Trans. Autom. Control..
[20] Pierre-Alexandre Bliman,et al. A Convex Approach to Robust Stability for Linear Systems with Uncertain Scalar Parameters , 2003, SIAM J. Control. Optim..
[21] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.
[22] P. Apkarian,et al. Advanced gain-scheduling techniques for uncertain systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).
[23] A. Ivanov,et al. Robust stability of systems with delayed feedback , 1994 .
[24] K. Gu. Discretized LMI set in the stability problem of linear uncertain time-delay systems , 1997 .
[25] Pierre Apkarian,et al. Robust control via concave minimization local and global algorithms , 2000, IEEE Trans. Autom. Control..
[26] J. Willems. Least squares stationary optimal control and the algebraic Riccati equation , 1971 .
[27] S. Bittanti,et al. Affine Parameter-Dependent Lyapunov Functions and Real Parametric Uncertainty , 1996 .
[28] Jonathan P. How,et al. Control of LPV systems using a quasi-piecewise affine parameter-dependent Lyapunov function , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).
[29] Tetsuya Iwasaki,et al. LPV system analysis via quadratic separator for uncertain implicit systems , 2001, IEEE Trans. Autom. Control..
[30] Brian D. O. Anderson,et al. Lyapunov functions for uncertain systems with applications to the stability of time varying systems , 1994 .
[31] ApkarianPierre,et al. Self-scheduled H control of linear parameter-varying systems , 1995 .
[32] K. Tan,et al. L/sub 2/-L/sub 2/ and L/sub 2/-L/sub /spl infin// output feedback control of time-delayed LPV systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).
[33] Panagiotis Tsiotras,et al. Asymptotic stability of linear systems with multiple time-invariant state-delays , 2000 .
[34] F. Amato,et al. Necessary and sufficient conditions for quadratic stability and stabilizability of uncertain linear time-varying systems , 1996, IEEE Trans. Autom. Control..
[35] Denis Mustafa,et al. Block Lyapunov sum with applications to integral controllability and maximal stability of singularly perturbed systems , 1995 .
[36] P. Gahinet,et al. H∞ design with pole placement constraints: an LMI approach , 1996, IEEE Trans. Autom. Control..
[37] Alan J. Laub,et al. The LMI control toolbox , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.
[38] V. Balakrishnan,et al. Robustness analysis and gain-scheduled controller synthesis for rational parameter-dependent systems using parameter-dependent Lyapunov functions , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).
[39] C. Storey,et al. Matrix methods in stability theory , 1972, The Mathematical Gazette.
[40] Kenzo Nonami,et al. Sliding mode control with time-varying hyperplane for AMB systems , 1998 .
[41] A. T. Neto. Parameter dependent Lyapunov functions for a class of uncertain linear systems: an LMI approach , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).
[42] C. de Souza,et al. LMI approach to delay-dependent robust stability and stabilization of uncertain linear delay systems , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.
[43] A. Packard,et al. Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback , 1994 .
[44] A. L. Zelentsovsky. Nonquadratic Lyapunov functions for robust stability analysis of linear uncertain systems , 1994, IEEE Trans. Autom. Control..
[45] Anders Helmersson,et al. Parameter dependent Lyapunov functions based on linear fractional transformation , 1999 .
[46] Erik I. Verriest,et al. Robust stability of time varying systems with unknown bounded delays , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.
[47] W. Kanso,et al. Model reference estimation and control of tool chatter , 1990, Proceedings of the 33rd Midwest Symposium on Circuits and Systems.
[48] Eyad H. Abed,et al. Robust stability of linear systems relative to guarded domains , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.
[49] Young Soo Moon,et al. A delay-dependent robust stability criterion for uncertain time-delay systems , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).
[50] P. Gahinet,et al. A linear matrix inequality approach to H∞ control , 1994 .
[51] P. Khargonekar,et al. Stabilization of uncertain systems with norm bounded uncertainty using control Lyapunov functions , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.
[52] T. Iwasaki,et al. Generalized S-procedure and finite frequency KYP lemma , 2000 .
[53] Carlos E. de Souza,et al. Robust Stabilization and H∞ Control of Uncertain Linear Time-Delay Systems , 1996 .
[54] B. Barmish,et al. Maximal unidirectional perturbation bounds for stability of polynomials and matrices , 1988 .
[55] Panagiotis Tsiotras,et al. ON ROBUST STABILITY OF LTI PARAMETER DEPENDENT SYSTEMS , 2002 .
[56] Pascal Gahinet,et al. H/sub /spl infin// design with pole placement constraints: an LMI approach , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.
[57] D. Bernstein,et al. Parameter-dependent Lyapunov functions and the Popov criterion in robust analysis and synthesis , 1995, IEEE Trans. Autom. Control..
[58] B. Ross Barmish,et al. New Tools for Robustness of Linear Systems , 1993 .
[59] E. Yaz. Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.
[60] H. M. Paynter,et al. Inners and Stability of Dynamic Systems , 1975 .
[61] Chun-Yi Su,et al. Modeling and robust adaptive control of metal cutting mechanical systems , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).
[62] V. Kolmanovskii,et al. Applied Theory of Functional Differential Equations , 1992 .
[63] Fen Wu. Switching LPV control design for magnetic bearing systems , 2001, Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204).
[64] A. Packard,et al. Control of Parametrically-Dependent Linear Systems: A Single Quadratic Lyapunov Approach , 1993, 1993 American Control Conference.
[65] Jack K. Hale,et al. Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.
[66] P. Khargonekar,et al. An algebraic Riccati equation approach to H ∞ optimization , 1988 .
[67] Weiping Li,et al. Applied Nonlinear Control , 1991 .
[68] PooGyeon Park,et al. A delay-dependent stability criterion for systems with uncertain time-invariant delays , 1999, IEEE Trans. Autom. Control..
[69] G. Schweitzer,et al. Active magnetic bearings : basics, properties and applications of active magnetc bearings , 1994 .
[70] Audra E. Kosh,et al. Linear Algebra and its Applications , 1992 .
[71] Panagiotis Tsiotras,et al. Stability of time-delay systems: equivalence between Lyapunov and scaled small-gain conditions , 2001, IEEE Trans. Autom. Control..
[72] N. S. Gibson,et al. Real-time adaptive control of active magnetic bearings using linear parameter varying models , 2002, Proceedings IEEE SoutheastCon 2002 (Cat. No.02CH37283).
[73] M. Darouach,et al. Expansion of det(A+B) and robustness analysis of uncertain state space systems , 1993, IEEE Trans. Autom. Control..
[74] M. Malek-Zavarei,et al. Time-Delay Systems: Analysis, Optimization and Applications , 1987 .
[75] J. Zhang,et al. Toward less conservative stability analysis of time-delay systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).
[76] Joe Brewer,et al. Kronecker products and matrix calculus in system theory , 1978 .
[77] Panagiotis Tsiotras,et al. Stability criteria for LPV time-delayed systems: The delay-independent case 1 , 2000 .
[78] S.-I. Niculescu. A model transformation class for delay-dependent stability analysis , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).
[79] Karolos M. Grigoriadis,et al. LPV Systems with parameter-varying time delays: analysis and control , 2001, Autom..
[80] Keqin Gu,et al. A generalized discretization scheme of Lyapunov functional in the stability problem of linear uncertain time-delay systems , 1999 .
[81] W. H. Kwon,et al. Quadratic stability and stabilization of linear systems with Frobenius norm-bounded uncertainties , 1996, IEEE Trans. Autom. Control..
[82] Silviu-Iulian Niculescu,et al. Additional dynamics in transformed time-delay systems , 2000, IEEE Trans. Autom. Control..
[83] P. Gahinet,et al. A convex characterization of gain-scheduled H∞ controllers , 1995, IEEE Trans. Autom. Control..
[84] Panagiotis Tsiotras,et al. Stability of linear time-delay systems: a delay-dependent criterion with a tight conservatism bound , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).
[85] G. Boothroyd,et al. Fundamentals of Metal Machining and Machine Tools , 1975 .
[86] Erik I. Verriest,et al. Frequency domain robust stability criteria for linear delay systems , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.
[87] A. Yoon,et al. Computational experiments in robust stability analysis , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.
[88] Keqin Gu,et al. Partial solution of LMI in stability problem of time-delay systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).
[89] C. Knospe,et al. Stability analysis of LPV time-delayed systems , 2002 .
[90] P. Apkarian,et al. Relaxations of parameterized LMIs with control applications , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).
[91] A. Fuller,et al. Conditions for a matrix to have only characteristic roots with negative real parts , 1968 .
[92] A. Packard,et al. Induced L/sub 2/-norm control for LPV system with bounded parameter variation rates , 1995, Proceedings of 1995 American Control Conference - ACC'95.
[93] J. Tsitsiklis,et al. NP-hardness of some linear control design problems , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.
[94] Gregory Becker. Additional Results on Parameter-Dependent Controllers for LPV Systems , 1996 .