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Stability of Decision Feedback Inverses
IEEE Transactions on Communications, 1976The method of inversion of linear discrete time systems utilizing quantized feedback is examined, and a stability concept is developed. The application in mind is decision feedback equalization (DFE). Sets of necessary conditions and sufficient conditions for stability are derived.
Antonio Cantoni, Paul Butler
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State Constrained Feedback Stabilization
SIAM Journal on Control and Optimization, 2003Summary: A standard finite-dimensional nonlinear control system is considered, along with a state constraint set \(S\) and a target set \(\Sigma\). It is proven that open-loop \(S\)-constrained controllability to \(\Sigma\) implies closed-loop \(S\)-constrained controllability to the closed \(\delta\)-neighborhood of \(\Sigma\), for any specified ...
Francis H. Clarke, Ronald J. Stern
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Resonance and Feedback Stabilization
IFAC Proceedings Volumes, 1995Abstract It is shown that no resonance and small time local controllability for an n-dimensional, real analytic, single input affine control system imply many standard necessary conditions for the existence of a continuous, asymptotically stabilizing (state) feedback control (ASFC).
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w-Stability of feedback systems
Systems & Control Letters, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Georgiou, Tryphon T., Smith, Malcolm C.
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Stabilization of Beams with Nonlinear Feedback
SIAM Journal on Control and Optimization, 2002The author studies a simplified form of the dynamic Euler-Bernoulli beam equation for coupled beams: \(y''+\partial^4y/\partial x=0\), where \(y''\) stands for \(\partial^2y/\partial t^2\), \(t>0\), \(x\in(0,a)\cup (a,1)\), with a coupling point at \(x=a\). It is simply supported at \(x=0\), with shear hinge condition at \(x=1\) in model \(\#1\), it is
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On the stability of multivariable feedback systems
2015 54th IEEE Conference on Decision and Control (CDC), 2015In this paper, we consider the stability of a multivariable unity feedback system with an r × r rational proper transfer matrix G(s) in the forward path. The analysis is facilitated by introducing an “equivalent” scalar transfer function g(s) which consists of the sum of the determinants of all leading principal minors of G(s).
Lee H. Keel, Shankar P. Bhattacharyya
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Feedback Stabilization of Magnetohydrodynamic Equations
SIAM Journal on Control and Optimization, 2011Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
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A Model for Feedback-Stabilization in Sillenites
CLEO/Europe Conference on Lasers and Electro-Optics, 1998When recording phase volume holograms in photorefractive crystals, stabilization is often desirable so that the external conditions are constant during recording. A method of stabilization by using phase modulation in a feedback loop has been developed by Frejlich and Kamshilin. The method has been applied to LiNbO3, yielding the surprising side effect
V. P. Kamenov +3 more
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