Funnel Control

• A. Ilchmann, H. Logemann and E. P. Ryan
  Tracking with prescribed transient performance for hysteretic systems
  submitted for publication to "SIAM J. of Control and Optimization" (2007) [pdf]
  
  
• N. Hopfe, A. Ilchmann, E. P. Ryan 
  Funnel control with saturation: nonlinear SISO systems
  submitted to "IEEE Trans. Automatic Control" (2009) [pdf]
  
  
• N. Hopfe, A. Ilchmann, E. P. Ryan
  Funnel control with saturation: linear MIMO systems
   IEEE Trans. Automatic Control 55(2):532-538,  2010 [pdf]
  
  
  A. Ilchmann and M. Mueller
  Robustness of funnel control in the gap metric
  to appear in "SIAM J. of Control and Optimization" (2010) [pdf]
  
  
• A. Ilchmann and E. P. Ryan
  Performance funnels and tracking control
   Int. J. of Control 82(10):1828-1840,  2009 [pdf]
  
  
• A. Ilchmann and H. Schuster
  PI-funnel control for two mass systems
  IEEE Trans. Automatic Control 54 (2009)  918-923  [pdf]
  
  
• A. Ilchmann, E. P. Ryan and P. Townsend
  Tracking with prescribed transient behaviour for nonlinear systems of known relative degree
  SIAM J. of Control and Optimization 46 (2007) 210-230 [pdf]
  
  
• A. Ilchmann and E. P. Ryan
  Asymptotic tracking with prescribed transient behaviour for linear systems
  Int. J. Control 79 (2006) 910-917 [pdf]
  
  
• A. Ilchmann, E. P. Ryan and P. Townsend
  Tracking control with prescribed transient behaviour for systems of known relative degree
  Systems & Control Lett. 55 (2006) 396-406 [pdf]
  
  
• A. Ilchmann, E.P. Ryan and S. Trenn
  Tracking control: performance funnels and prescribed transient behaviour
  Systems & Control Lett. 54 (2005) 655-670 [pdf]
  
  
• A. Ilchmann and S. Trenn
  Input constrained funnel control with applications to chemical reactor models
  Systems & Control Lett. 53 (2004) 361-375 [pdf]
  
  
• A. Ilchmann, E.P. Ryan and C.J. Sangwin
  Tracking with prescribed transient behaviour
  ESAIM: Control, Optimisation and Calculus of Variations 7 (2002) 471-493 [pdf]

lambda-tracking

• A. Ilchmann and M. Mueller
  Robustness of lambda-tracking in the gap metric
  SIAM J. of Control and Optimization 5 (2008) 2724-2744 [pdf]
  
  
• A. Ilchmann, M. Thuto and S. Townley
  Input constrained adaptive tracking with applications to exothermic chemical reactions
  SIAM J. Contr. and Opt. 43 (2004) 154-173 [pdf]
  
  
• A. Ilchmann, E.P. Ryan and C.J. Sangwin
  Systems of controlled functional differential equations and adaptive tracking
  SIAM J. of Control & Optimization 40 (2002) 1746-1764 [pdf]
  
  
• P. Georgieva and A. Ilchmann
  Adaptive lambda-tracking control of activated sludge processes
  Int. J. of Control 74 (2001) 1247-1259 [pdf]
  
  
• A. Ilchmann and S. Townley
  Adaptive high-gain lambda-tracking with variable sampling rate
  Systems & Control Lett. 36 (1999) 285-293 [pdf]
  
  
• A. Ilchmann and H. Logemann
  Adaptive lambda-tracking for a class of infinite-dimensional systems
  Systems & Control Lett. 34 (1998) 11-21 [pdf]
  
  
• A. Ilchmann and M. Pahl
  Adaptive multivariable regulation of a Biogas Tower Reactor
  European J. of Control 4 (1998) 116-131 [pdf]
  
  
• A. Ilchmann
  Adaptive lambda-tracking for polynomial minimum phase systems
  Dynamics and Stability of Systems 13 (1998) 341-371 [pdf]
  
  
• F. Allgöwer, J. Ashmann and A. Ilchmann
  High-gain adaptive lambda-tracking for nonlinear systems
  Automatica 33 (1997) 881-888 [pdf]
  
  
• A. Ilchmann and E.P. Ryan
  Universal lambda-tracking for nonlinearly perturbed systems in the presence of noise
  Automatica 30 (1994) 337-346 [pdf]

High-gain control

• M. French, A. Ilchmann and E. P. Ryan
  Robustness in the graph topology of a common adaptive controller
  SIAM J. of Control and Optimization 45 (2006) 1736-1757 [pdf]
  
  
• A. Ilchmann, S. Townley and M. Thuto
  Adaptive sampled-data tracking for input constrained exothermic chemical reaction models
  Systems & Control Lett. 54 (2005) 1149-1161 [pdf]
  
  
• A. Ilchmann and E.P. Ryan
  On tracking and disturbance rejection by adaptive control
  Systems & Control Lett. 52 (2004) 137-147 [pdf]
  
  
• A. Ilchmann and E.P. Ryan
  On gain adaptation in adaptive control
  IEEE Trans. Aut. Control 48 (2003) 895-899 [pdf]
  
  
• A. Ilchmann and A. Isidori
  Adaptive dynamic output feedback stabilisation of nonlinear systems
  Asian Journal of Control 4 (2002) 1-9 [pdf]
  
  
• P. Georgieva, A. Ilchmann and M.-F. Weirig
  Modelling and adaptive control of aerobic continuous stirred tank reactors
  European J. of Control 7 (2001) 476-491 [pdf]
  
  
• I.M.Y.Mareels, S. Van Gils, J.W. Polderman, A. Ilchmann
  Asymptotic dynamics in adaptive gain control
  Advances in Control, Highlights of ECC '99, Ed.: P.M. Frank, Springer-Verlag, London (1999) 29-63 [pdf]
  
  
• A. Ilchmann and S. Townley
  Adaptive sampling control of high-gain stabilizable systems
  IEEE Trans. Autom. Control 44 (1999) 1961-1966 [pdf]
  
  
• A. Ilchmann
  Universal adaptive control of nonlinear systems
  Dynamics and Control 7 (1997) 199-213 [pdf]
  
  
• A. Ilchmann
  Adaptive stabilization
  EncyclopaediaofMathematics, First Supplement, Managing Ed.:M.Hazewinkel,KluwerAcademic Publishers, Dordrecht, Boston (1997) 28-29 [pdf]
  
  
• H. Logemann and A. Ilchmann
  An adaptive servomechanism for a class of infinite-dimensional systems
  SIAM J. on Control and Opt. 32 (1994) 917-936 [pdf]
  
  
• A. Ilchmann
  Adaptive controllers and root-loci of minimum phase systems
  Dynamics and Control 4 (1994) 203-226 [pdf]
  
  
• A. Ilchmann and S. Townley
  Simple adaptive stabilization of high-gain stabilizable systems
  Systems & Control Lett. 20 (1993) 189-198 [pdf]
  
  
• A. Ilchmann and D.H. Owens
  Adaptive exponential tracking for nonlinearly perturbed minimum phase systems
  Control-Theory and Advanced Technology 9 (1993) 353-379 [pdf]
  
  
• A. Ilchmann and H. Logemann
  High-gain adaptive tabilization of multivariable linear systems - revisited
  Systems & Control Lett. 18 (1992) 355-364 [pdf]
  
  
• A. Ilchmann and D. H. Owens
  Exponential stabilization using non-differential gain adaptation
  IMA J. of Math. Control and Inf. 7 (1991) 339-349 [pdf]
  
  
• A. Ilchmann and D. H. Owens
  Threshold switching functions in high-gain adaptive control
  IMA J. of Math. Control and Inf. 8 (1991) 409-429 [pdf]
  
  
• A. Ilchmann
  Robust adaptive stabilization of discrete first order systems
  Automatica 27 (1991) 829-835 [pdf]
  
  
• A. Ilchmann and D. H. Owens
  Adaptive stabilization with exponential decay
  Systems & Control Lett. 14 (1990) 437-443 [pdf]
  
  
• D. Prätzel-Wolters, D. H. Owens and A. Ilchmann
  Robust adaptive stabilization by high gain and switching
  Int. J. Control 49 (1989) 1861-1868 [pdf]
  
  
• A. Ilchmann, D. H. Owens and D. Prätzel-Wolters
  High gain robust adaptive controllers for multivariable systems
  Systems & Control Lett. 8 (1987) 397-404 [pdf]
  
  
• D. H. Owens, D. Prätzel-Wolters and A. Ilchmann
  Positive real structure and high gain adaptive stabilization
  IMA J. of Math. Control and Inf. 4 (1987) 167-181 [pdf]

Stability and robustness

• A. Ilchmann and  Adrian T. Hill
  Exponential stability of  time-varying linear systems
  submitted to "IMA Journal of Numerical Analysis" (2009) [pdf]
• A. Ilchmann and P.H.A. Ngoc
  On positivity and stability of linear time-varying Volterra equations
  Positivity  13(4):671-681,   2009 [pdf]
• H. Crauel, T. Damm and A. Ilchmann
  Stabilization of linear systems by rotation
  J. of Differential Equations 234 (2007) 412-438 [pdf]
  
  
• L. H. Duc, A. Ilchmann, S. Siegmund and P. Taraba
  On stability of linear time-varying second-order differential equations
  Quarterly of Appl. Maths. 64 (2006) 137-151[pdf]
  
  
• A. Ilchmann and I.M.Y. Mareels
  On stability radii of slowly time-varying systems
  Advances in Mathematical Systems Theory, Eds.:F. Colonius, U. Helmke, D. Prätzel-Wolters, F.Wirth, Birkhäuser Verlag, Boston (2000) 55-75 [pdf]
  
  
• A. Ilchmann and B.Werner
  Characterization of the stability radius via bifurcation techniques
  Applicable Analysis 52 (1994) 231-246 [pdf]
  
  
• D. Hinrichsen, A. Ilchmann and A. J. Pritchard
  A stability radius for time-varying linear systems
  The Mathematics of Control Theory, Eds.: N. K. Nichols and D. H. Owens, Oxford University Press, Oxford (1992) 281-290 [pdf]
  
  
• D. Hinrichsen , A. Ilchmann and A. J. Pritchard
  Robustness of stability of time-varying linear systems
  J. of Differential Equations 82 (1989)219-250 [pdf]
  
  
• A. Ilchmann and G. Kern
  Stabilizability of systems with exponential dichotomy
  Systems & Control Lett. 8 (1987) 211-220 [pdf]
  
  
• A. Ilchmann, D. H. Owens and D. Prätzel-Wolters
  Sufficient conditions for stability of linear time-varying systems
  Systems & Control Lett. 9 (1987) 157-163 [pdf]

Algebraic theory

• A. Ilchmann and M. Mueller
  Time-varying linear systems: relative degree and normal form
  IEEE Trans. Aut. Control 52 (2007) 840-851 [pdf]
  
  
• A. Ilchmann and V. Mehrmann
  A behavioural approach to time-varying linear systems, Part 2: Descriptor systems
  SIAM J. of Control and Optimization 44 (2005) 1748-1765 [pdf]
  
  
• A. Ilchmann and V. Mehrmann
  A behavioural approach to time-varying linear systems, Part 1: General theory
  SIAM J. of Control and Optimization 44 (2005) 1725-1747 [pdf]
  
  
• A. Ilchmann
  Algebraic theory of time-varying linear systems: a survey
  in `Selected Plenaries, Milestones and Surveys' Eds.: P. Horacek, M. Simandl, P. Zitek; Prague, Czech Republic (2005) 312-318 [pdf]
  
  
• A. Ilchmann
  Time-varying linear systems and invariants of system equivalence
  Int. J. Control 42 (1985) 759-790 [pdf]
  
  
• A. Ilchmann, I. Nürnberger and W. Schmale
  Time-varying polynomial matrix systems
  Int. J. Control 40 (1984) 329-362 [pdf]

Geometric theory

• A. Ilchmann
  Time-varying linear control systems: A geometric approach
  IMA J. of Math. Control and Inf. 6 (1989) 411-440 [pdf]