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Stability results for nonlinear feedback systems

Automatica, 1977
This paper presents an approach towards deriving sufficient conditions for the stability of nonlinear feedback systems. The central features of the approach are twofold. Firstly, useful stability tests are obtained for the case when the subsystems have nonlinear dynamics; secondly, a unifying set of general stability criteria are given, from which ...
Hill, DJ, Moylan, PJ
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Output Feedback Stabilization of Systems with Uncertainty

Computational Mathematics and Modeling, 2002
The aim of this paper is to study the output feedback stabilization for an uncertain controlled system of a high relative order having the form \[ \dot x(t)=Ax(t)+b(u(t)+\psi(t,x)),\quad t\geq 0, \] with the uncertainty \(\psi\in {\mathcal K}(t,x)\) and the observed output \[ y(t)=ax(t), \] where \({\mathcal K}:\mathbb R_+\times \mathbb R^n\to\mathbb R\
Nosov, A. P., Fomichev, V. V.
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The stability of systems with multiplicative feedback

Automatica, 1968
The global phase-portrait concept of Poincare is used initially to predict the stability of two continuous systems which have multiplicative feedback. Singularities at infinity are revealed which are coalitions of saddle points and nodes. Where stability is not global, Lyapunov functions are generated to define the domain of stability in the general ...
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Global stability of relay feedback systems

Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jorge M. Gonçalves   +2 more
openaire   +3 more sources

Feedback stabilization of spin systems

Proceedings of the 44th IEEE Conference on Decision and Control, 2006
The feedback stabilization problem for ensembles of coupled spin 1/2 systems is discussed. The noninvasive nature of the bulk measurement allows for a fully unitary and deterministic closed loop. The Lyapunov-based feedback design does not require that the spins are selectively addressable.
openaire   +1 more source

Homogeneous stabilizing feedback for homogeneous systems

Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000
We deal with the stabilizability problem of a homogeneous nonlinear systems. We provide the sufficient condition under which the system considered is globally asymptotically stabilizable by an homogeneous feedback law.
Ourida Chabour   +2 more
openaire   +1 more source

On the stability of convolution feedback systems with dynamical feedback

Automatica, 1975
This paper considers distributed n-inputn-output convolution feedback systems characterized by y = G"1*e, z = G"2*y and e = u - z, where the forward path transfer function [email protected]^"1 and the feedback path transfer function [email protected]^"2 both contain a real single unstable pole at different locations.
openaire   +2 more sources

On the stability of equilibria in metabolic feedback systems

Journal of Mathematical Biology, 1985
A sufficient criterion for the stability of the equilibrium of a metabolic feedback system will be constructed.
Berding, Christoph, Haubs, Georg
openaire   +3 more sources

Boundary feedback stabilization of the Schlögl system

Automatica, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin Gugat, Fredi Tröltzsch
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A Stabilizing Feedback of an Uncertain Control System

2003
A nonlinear control system, describing the continuous methane fermentation is considered. By means of a nonlinear coordinate change the control system is transformed into an equivalent form, involving only measurable quantities of the real process. Assuming that the parameters of the model are not exactly known but bounded within intervals, the set of ...
Mikhail Krastanov, Neli S. Dimitrova
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