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- Achim Ilchmann, Eugene P. Ryan, Philip Townsend
- SIAM J. Control and Optimization
- 2007

Tracking of a reference signal (assumed bounded with essentially bounded derivative) is considered in the context of a class Σρ of multi-input, multi-output dynamical systems, modelled by functional differential equations, affine in the control and satisfying the following structural assumptions: (i) arbitrary – but known – relative degree ρ ≥ 1, (ii) the… (More)

- Achim Ilchmann, Hans Schuster
- IEEE Trans. Automat. Contr.
- 2009

We control a two mass system with uncertain parameter values, encompassing friction and hysteretic effects, modelled as a functional differential equation. As opposed to control strategies invoking identification mechanisms or neural networks, we propose controllers relying on structural system properties only. Output behaviour with prespecified accuracy is… (More)

- Achim Ilchmann, Eugene P. Ryan, Stephan Trenn
- Systems & Control Letters
- 2005

Tracking of a reference signal (assumed bounded with essentially bounded derivative) is considered in a context of a class of nonlinear systems, with output y, described by functional differential equations (a generalization of the class of linear minimum-phase systems with positive high-frequency gain). The primary control objective is tracking with… (More)

- Christoph M. Hackl, Norman Hopfe, Achim Ilchmann, Markus Mueller, Stephan Trenn
- SIAM J. Control and Optimization
- 2013

Tracking of reference signals yref(·) by the output y(·) of linear (as well as a considerably large class of nonlinear) single-input, single-output system is considered. The system is assumed to have strict relative degree two with (“weak”) stable zero dynamics. The control objective is tracking of the error e = y− yref and its derivative ė within two… (More)

- Stuart Townley, Achim Ilchmann, +4 authors Dieter Prätzel-Wolters
- IEEE Trans. Neural Netw. Learning Syst.
- 2000

In this paper we study a particular class of -node recurrent neural networks (RNN's). In the 3-node case we use monotone dynamical systems theory to show, for a well-defined set of parameters, that, generically, every orbit of the RNN is asymptotic to a periodic orbit. Then we investigate whether RNN's of this class can adapt their internal parameters so as… (More)

- Achim Ilchmann, Eugene P. Ryan
- Automatica
- 1994

- Achim Ilchmann, Volker Mehrmann
- SIAM J. Control and Optimization
- 2005

In the sequel to [A. Ilchmann and V. Mehrmann, SIAM J. Control Optim., 44 (2005), pp. 1725–1747], we discuss a behavioral approach for linear, time-varying, differential algebraic (descriptor) systems with real analytic coefficients. The analysis is “almost global” in the sense that the analysis is not restricted to an interval I ⊂ R but is allowed for the… (More)

- Norman Hopfe, Achim Ilchmann, Eugene P. Ryan
- IEEE Trans. Automat. Contr.
- 2010

Tracking—by the system output—of a reference signal (assumed bounded with essentially bounded derivative) is considered in the context of linear -input, -output systems subject to input saturation. The system is assumed to have strict relative degree one with stable zero dynamics. Prespecified is a performance funnel, within which the tracking error is… (More)

- Achim Ilchmann, Eugene P. Ryan, Philip Townsend
- Systems & Control Letters
- 2006

Tracking of a reference signal (assumed bounded with essentially bounded derivative) is considered for multi-input, multi-output linear systems satisfying the following structural assumptions: (i) arbitrary – but known – relative degree, (ii) the “high-frequency gain” matrix is sign definite – but of unknown sign, (iii) exponentially stable zero dynamics.… (More)

- Achim Ilchmann, Christopher J. Sangwin
- Systems & Control Letters
- 2004

For linear, square, multi-input–multi-output, minimum-phase, relative-degree one or two systems, proportional output feedback controllers are studied. In particular, we show that derivative feedback can be replaced by delay feedback, essentially an Euler approximation of the derivative, if the delay is su3ciently small. Stability regions are determined and… (More)