Discussion on: "Attenuation of Oscillations in Galerkin Systems Using Center-Manifold Techniques"

[1]  L. Marconi,et al.  Output Stabilization via Nonlinear Luenberger Observers , 2006, SIAM J. Control. Optim..

[2]  Andrea Serrani,et al.  Attenuation of Oscillations in Galerkin Systems Using Center-Manifold Techniques , 2007, Eur. J. Control.

[3]  A. Astolfi,et al.  Controlled Invariant Manifolds: a Normally-Hyperbolic Viewpoint , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[4]  A. Astolfi,et al.  Nonlinear observer design using invariant manifolds and applications , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[5]  M. Maggiore,et al.  Transverse Feedback Linearization of Multi-Input Systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[6]  Arthur J. Krener,et al.  The Controlled Center Dynamics , 2005, Multiscale Model. Simul..

[7]  Michael A. Demetriou,et al.  Singular Control-Invariance PDEs for Nonlinear Systems , 2005, Multiscale Model. Simul..

[8]  Vincent Andrieu,et al.  On the Existence of a Kazantzis--Kravaris/Luenberger Observer , 2006, SIAM J. Control. Optim..

[9]  Arthur J. Krener,et al.  Control of center manifolds , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[10]  L. Praly,et al.  Global complete observability and output-to-state stability imply the existence of a globally convergent observer , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[11]  Christopher I. Byrnes,et al.  Limit sets, zero dynamics, and internal models in the problem of nonlinear output regulation , 2003, IEEE Trans. Autom. Control..

[12]  Alessandro Astolfi,et al.  Immersion and invariance: a new tool for stabilization and adaptive control of nonlinear systems , 2001, IEEE Trans. Autom. Control..

[13]  Proceedings of the 42nd IEEE Conference on Decision and Control , 2003 .

[14]  Costas Kravaris,et al.  Higher-order corrections to the pi criterion using center manifold theory , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[15]  MingQing Xiao,et al.  Nonlinear Observer Design in the Siegel Domain , 2002, SIAM J. Control. Optim..

[16]  Costas Kravaris,et al.  Singular PDES and the assignment of zero dynamics in nonlinear systems , 2001, 2001 European Control Conference (ECC).

[17]  Panagiotis D. Christofides,et al.  Nonlinear and Robust Control of Pde Systems , 2001 .

[18]  Nikolaos Kazantzis,et al.  Singular PDEs and the problem of finding invariant manifolds for nonlinear dynamical systems , 2000 .

[19]  Wolfgang Kliemann,et al.  The dynamics of control , 2000 .

[20]  T. Başar,et al.  Center manifold of the viscous Moore-Greitzer PDE model , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[21]  Wei Kang,et al.  Bifurcation and Normal Form of Nonlinear Control Systems, Part II , 1998 .

[22]  C. Kravaris,et al.  Nonlinear observer design using Lyapunov's auxiliary theorem , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[23]  I. Petersen,et al.  Weak robust controllability and observability of uncertain linear systems , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[24]  C. Byrnes.  Output Regulation of Uncertain Nonlinear Systems , 1997 .

[25]  A. Preumont.  Vibration Control of Active Structures , 1997 .

[26]  Christopher K. R. T. Jones,et al.  Tracking invariant manifolds up to exponentially small errors , 1996 .

[27]  J. Hauser,et al.  Feedback linearization of transverse dynamics for periodic orbits , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[28]  Arthur J. Krener,et al.  Extended quadratic controller normal form and dynamic state feedback linearization of nonlinear systems , 1992 .

[29]  A. Schaft.  On a state space approach to nonlinear H ∞ control , 1991 .

[30]  A. Isidori,et al.  Output regulation of nonlinear systems , 1990 .

[31]  S. Wiggins.  Introduction to Applied Nonlinear Dynamical Systems and Chaos , 1989 .

[32]  George R. Sell,et al.  Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations , 1989 .

[33]  R. Temam.  Infinite Dimensional Dynamical Systems in Mechanics and Physics Springer Verlag , 1993 .

[34]  G. Sell,et al.  On the computation of inertial manifolds , 1988 .

[35]  E. Abed,et al.  Local feedback stabilization and bifurcation control, I. Hopf bifurcation , 1986 .

[36]  Hassan K. Khalil,et al.  Singular perturbation methods in control : analysis and design , 1986 .

[37]  E. A. Spiegel,et al.  Amplitude Equations for Systems with Competing Instabilities , 1983 .

[38]  P. Holmes,et al.  Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.

[39]  J. Leigh,et al.  An algorithm for decomposing a two-dimensional nonlinear vector field , 1980 .