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The stability of systems with multiplicative feedback
Automatica, 1968The 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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Homogeneous stabilizing feedback for homogeneous systems
Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000We 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
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Feedback stabilization of spin systems
Proceedings of the 44th IEEE Conference on Decision and Control, 2006The 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.
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Boundary feedback stabilization of the Schlögl system
Automatica, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin Gugat, Fredi Tröltzsch
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On the stability of convolution feedback systems with dynamical feedback
Automatica, 1975This 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.
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On the stability of equilibria in metabolic feedback systems
Journal of Mathematical Biology, 1985A sufficient criterion for the stability of the equilibrium of a metabolic feedback system will be constructed.
Berding, Christoph, Haubs, Georg
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Stability results for nonlinear feedback systems
Automatica, 1977This 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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A Stabilizing Feedback of an Uncertain Control System
2003A 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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Stability of systems under interference feedback
2009 European Control Conference (ECC), 2009Distributed power control problems in wireless communications can be modeled as a highly nonlinear feedback system. The nonlinear coupling appear when a large number of mobile stations interact through interference and it is well known that this may lead to instabilities.
Anders Möller, Ulf T. Jönsson
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Stability and feedback stabilization for a class of mixed potential systems
52nd IEEE Conference on Decision and Control, 2013This paper studies the problems of stability analysis and feedback stabilization design for a class of control affine systems where the drift dynamics is generated by a metriplectic structure. Those systems are composed of a conserved part and a dissipative part and appear, for example, in non-equilibrium thermodynamics.
Nicolas Hudon +2 more
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