A complementarity approach for the computation of periodic oscillations in piecewise linear systems
暂无分享,去创建一个
Vincent Acary | Luigi Iannelli | Francesco Vasca | Valentina Sessa | V. Acary | L. Iannelli | F. Vasca | Valentina Sessa | Vincent Acary
[1] A. J. van der Schaft,et al. Complementarity modeling of hybrid systems , 1998, IEEE Trans. Autom. Control..
[2] S. Dirkse,et al. The path solver: a nommonotone stabilization scheme for mixed complementarity problems , 1995 .
[3] Sotirios Natsiavas,et al. On periodic steady state response and stability of Filippov-type mechanical models , 2011 .
[4] de A Bram Kraker,et al. An approximate analysis of dry-friction-induced stick-slip vibratons by a smoothing procedure , 1999 .
[5] Giambattista Gruosso,et al. MTFS: Mixed Time–Frequency Method for the Steady-State Analysis of Almost-Periodic Nonlinear Circuits , 2012, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.
[6] Pierre Riedinger,et al. Computation and stability of limit cycles in hybrid systems , 2006 .
[7] R. Leine,et al. Stick-Slip Vibrations Induced by Alternate Friction Models , 1998 .
[8] Vincent Acary,et al. Numerical Methods for Nonsmooth Dynamical Systems: Applications in Mechanics and Electronics , 2008 .
[9] Luigi Iannelli,et al. Computation of limit cycles in Lur'e systems , 2011, Proceedings of the 2011 American Control Conference.
[10] Jong-Shi Pang,et al. Differential variational inequalities , 2008, Math. Program..
[11] Bart De Schutter,et al. Equivalence of hybrid dynamical models , 2001, Autom..
[12] Anders Hultgren,et al. Two types of Limit Cycles of a Resonant Converter modelled by a three-dimensional system , 2008 .
[13] Yuan-Jay Wang,et al. Steady-State Analysis for a Class of Sliding Mode Controlled Systems Using Describing Function Method , 2002 .
[14] Richard W. Cottle,et al. Linear Complementarity Problem. , 1992 .
[15] Harry Dankowicz,et al. TC-HAT: A Novel Toolbox for the Continuation of Periodic Trajectories in Hybrid Dynamical Systems , 2008, SIAM J. Appl. Dyn. Syst..
[16] A. Nayfeh,et al. Applied nonlinear dynamics : analytical, computational, and experimental methods , 1995 .
[17] J. Pang,et al. Stability analysis of variational inequalities and nonlinear complementarity problems, via the mixed linear complementarity problem and degree theory , 1994 .
[18] K.J. Astrom,et al. Revisiting the LuGre friction model , 2008, IEEE Control Systems.
[19] J. M. Schumacher,et al. Complementarity systems in optimization , 2004, Math. Program..
[20] W.P.M.H. Heemels,et al. A time-stepping method for relay systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).
[21] Vincent Acary,et al. Time-Stepping via Complementarity , 2012 .
[22] M. Kanat Camlibel,et al. Convergence of Time-Stepping Schemes for Passive and Extended Linear Complementarity Systems , 2009, SIAM J. Numer. Anal..
[23] Thomas E. Stern,et al. Piecewise-linear network theory , 1956 .
[24] Luigi Iannelli,et al. Mixed linear complementarity problems for the analysis of limit cycles in piecewise linear systems , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).
[25] Vincent Acary,et al. Time-Stepping Numerical Simulation of Switched Circuits Within the Nonsmooth Dynamical Systems Approach , 2010, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.
[26] Miklós Farkas,et al. Periodic Motions , 1994 .
[27] A. Tonnelier. Cyclic Negative Feedback Systems: What is the Chance of Oscillation? , 2014, Bulletin of mathematical biology.
[28] Mario di Bernardo,et al. Piecewise smooth dynamical systems , 2008, Scholarpedia.
[29] T. Aprille,et al. A computer algorithm to determine the steady-state response of nonlinear oscillators , 1972 .
[30] Shlomo Engelberg,et al. Limitations of the describing function for limit cycle prediction , 2002, IEEE Trans. Autom. Control..
[31] Guanrong Chen,et al. Limit cycles and chaotic invariant sets in autonomous hybrid planar systems , 2008 .
[32] Kiyotoshi Matsuoka,et al. Sustained oscillations generated by mutually inhibiting neurons with adaptation , 1985, Biological Cybernetics.
[33] Vincent Acary,et al. Computing period and shape of oscillations in piecewise linear Lur'e systems: A complementarity approach , 2013, 52nd IEEE Conference on Decision and Control.
[34] Federico Bizzarri,et al. Steady State Computation and Noise Analysis of Analog Mixed Signal Circuits , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.
[35] Jianxue Xu,et al. A new method to determine the periodic orbit of a nonlinear dynamic system and its period , 2005, Engineering with Computers.
[36] Thomas Thibodeau,et al. A Unified Lyapunov Approach to Analysis of Oscillations and Stability for Systems With Piecewise Linear Elements , 2010, IEEE Transactions on Automatic Control.
[37] M. Çamlibel,et al. A New Perspective for Modeling Power Electronics Converters: Complementarity Framework , 2009, IEEE Transactions on Power Electronics.
[38] Jorge M. Gonçalves,et al. Regions of stability for limit cycle oscillations in piecewise linear systems , 2005, IEEE Transactions on Automatic Control.
[39] H. Nijmeijer,et al. Dynamics and Bifurcations ofNon - Smooth Mechanical Systems , 2006 .
[40] Luigi Iannelli,et al. Computation of limit cycles and forced oscillations in discrete-time piecewise linear feedback systems through a complementarity approach , 2008, 2008 47th IEEE Conference on Decision and Control.
[41] A. Schaft,et al. Switched networks and complementarity , 2003 .
[42] F. Facchinei,et al. Finite-Dimensional Variational Inequalities and Complementarity Problems , 2003 .
[43] Luigi Iannelli,et al. A Complementarity Model for Closed-Loop Power Converters , 2014, IEEE Transactions on Power Electronics.
[44] Chung-Jen Lu,et al. A modified incremental harmonic balance method for rotary periodic motions , 2011 .
[45] Fernando B. M. Duarte,et al. Fractional describing function of systems with Coulomb friction , 2009 .
[46] Vincent Acary,et al. Numerical simulation of piecewise-linear models of gene regulatory networks using complementarity systems , 2012 .
[47] Marco Gilli,et al. A mixed time-frequency-domain approach for the analysis of a hysteretic oscillator , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.