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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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State Feedback Stabilization for Boolean Control Networks
State feedback stabilization for Boolean control networks is investigated in this technical note. Based on the algebraic representation of logical dynamics in terms of the semi-tensor product of matrices, a necessary and sufficient condition is derived ...
Rui Li, Tianguang Chu
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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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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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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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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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Topological perplexity of feedback stabilization
Journal of Applied and Computational Topology, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Feedback Stabilization of Stem Growth
Journal of Dynamics and Differential Equations, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ancona, Fabio +3 more
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Output–input stability implies feedback stabilization
Systems & Control Letters, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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