Balancing of dissipative Hamiltonian systems

[1]  Timo Reis,et al.  Balanced truncation model reduction of second-order systems , 2008 .

[2]  Amir Dembo,et al.  Large Deviations Techniques and Applications , 1998 .

[3]  Carsten Hartmann,et al.  Balancing of partially-observed stochastic differential equations , 2008, 2008 47th IEEE Conference on Decision and Control.

[4]  S. Varadhan,et al.  On the Support of Diffusion Processes with Applications to the Strong Maximum Principle , 1972 .

[5]  Eberhard Zeidler,et al.  Applied Functional Analysis , 1995 .

[6]  Brian D. O. Anderson,et al.  Singular perturbation approximation of balanced systems , 1989 .

[7]  Tamar Schlick,et al.  Molecular Modeling and Simulation: An Interdisciplinary Guide , 2010 .

[8]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[9]  Clarence W. Rowley,et al.  Model Reduction for fluids, Using Balanced Proper Orthogonal Decomposition , 2005, Int. J. Bifurc. Chaos.

[10]  A. Schaft L2-Gain and Passivity Techniques in Nonlinear Control. Lecture Notes in Control and Information Sciences 218 , 1996 .

[11]  B. Moore Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .

[12]  Grigorios A. Pavliotis,et al.  Multiscale Methods: Averaging and Homogenization , 2008 .

[13]  Edward Nelson Dynamical Theories of Brownian Motion , 1967 .

[14]  Kenji Fujimoto,et al.  Energy-Storage Balanced Reduction of Port-Hamiltonian Systems , 2003 .

[15]  Hiroshi Kunita,et al.  A classification of the second order degenerate elliptic operators and its probabilistic characterization , 1974 .

[16]  Carsten Hartmann,et al.  Balanced Truncation of Linear Second-Order Systems: A Hamiltonian Approach , 2010, Multiscale Model. Simul..

[17]  Younes Chahlaoui,et al.  Second-order balanced truncation , 2006 .

[18]  K. Glover All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds† , 1984 .

[19]  Paul Van Dooren,et al.  A collection of benchmark examples for model reduction of linear time invariant dynamical systems. , 2002 .