Dynamische Stabilitätsraten für Networked Control Systems

• Applicant: Professor Dr. Stefan Siegmund
• Subject Area: Automation, Mechatronics, Control Systems, Intelligent Technical Systems, Robotics
• Term: from 2007 to 2011
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 43045120

• Final Report Year: 2012

Final Report Abstract

Im Rahmen des Projekts wurden Aspekte der Networked Control Systems entwickelt. Anwendungen finden sich perspektivisch im Bereich der digitalen Steuerung über drahtlose Netzwerke.

Publications

• Lyapunov's second method for nonautonomous differential equations. Discrete Contin. Dyn. Syst. 18 (2007), 375-403
  P. Kloeden, L. Grüne, S. Siegmund, F. Wirth
  
• Slow integral manifolds for Lagrangian fluid dynamics in unsteady geophysical flows. Physica D 233 (2007), 73 - 82
  J. Duan, C. Pötzsche, S. Siegmund
  
• A computational ergodic theorem for infinite iterated funciion systems. Stoch. Dyn. 8 (2008), 365 - 381
  N.D. Cong, L.H. Due, S. Siegmund
  
• Uniformly attracting solutions of nonautonomous differential equations. Nonlinear Analysis 68 (2008), 3789 - 3811
  A. Berger, S. Siegmund
  
• A definition of spectrum for differential equations on finite time. J. Differential Equations 246 (2009), 1098-1118
  A. Berger, T.S. Doan, S. Siegmund
  
• Exponential stability of linear time-invariant systems on time scales. Nonlinear Dyn. Syst. Theory 9 (2009), 37 - 50
  T.S. Doan, A. Kalauch, S. Siegmund
  
• An improved maximum allowable transfer interval for Lp-stability of networked control systems. IEEE Transactions on Automatic Control 55 (2010), 179 - 184
  A. Jentzen, F. Leber, D. Schneisgen, A. Berger, S. Siegmund
  
• Stability radii for positive linear time-invariant systems on time scales. Systems & Control Letters 59 (2010), 173 - 179
  T.S. Doan, A. Kalauch, S. Siegmund, F. Wirth
  
• Feedback control via inertial manifolds for nonautonomous evolution equations. Communications on Pure and Applied Analysis 10 No. 3 (2011), 917 - 936
  N. Koksch, S. Siegmund
  
• Transient spectral theory, stable and unstable cones and Gershgorin's theorem for finite-time differential equations. J. Differential Equations 250 (2011), 4177-4199
  T.S. Doan, K. Palmer, S. Siegmund
  
• A unified approach to finite-time hyperbolicity which extends finite-time Lyapunov exponents. J. Differential Equations 252 (2012), 5535-5554
  T.S. Doan, D. Karrasch, T.Y. Ngyuen, S. Siegmund
  (See online at https://doi.org/10.1016/j.jde.2012.02.002)
• Integral manifolds of nonautonomous boundary Cauchy problems. J. Nonl. Evol. Equ. Appl. 1 (2012), 1 - 15
  T.S. Doan, M. Moussi, S. Siegmund