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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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Stability of Feedback Systems and Stabilization
2014By way of motivation, consider the linear one-dimensional controlled system $$ \dot{x} = ax + u,\quad x\left( 0 \right) = \xi \in {\mathbb{R}}, $$ (6.1) with real parameter a > 0.
Hartmut Logemann, Eugene P. Ryan
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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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Existence of SDRE stabilizing feedback
IEEE Transactions on Automatic Control, 2001The state-dependent Riccati equation (SDRE) approach to nonlinear system stabilization relies on representing a nonlinear system's dynamics in a manner to resemble linear dynamics, but with state-dependent coefficient matrices that can then be inserted into state-dependent Riccati equations to generate a feedback law.
Jeff S. Shamma, James R. Cloutier
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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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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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Robust stabilization via saturated feedback
IEEE Transactions on Automatic Control, 2005In this paper, we deal with the problem of stabilization of uncertain systems in the presence of input constraint. First algebraic conditions are derived for input-to-state stability of linear system with saturated linear feedback of low dimension. Then a recursive design procedure is derived for robust stabilization of block upper triangular nonlinear
ANGELI, DAVID, Y. CHITOUR, L. MARCONI
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1990
The introductory Sections 1.2 to 1.5, which the reader is advised to review at this point, motivated the search for feedback laws to control systems. One is led then to the general study of the effect of feedback and more generally to questions of stability for linear and nonlinear systems.
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The introductory Sections 1.2 to 1.5, which the reader is advised to review at this point, motivated the search for feedback laws to control systems. One is led then to the general study of the effect of feedback and more generally to questions of stability for linear and nonlinear systems.
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Feedback stability and unsupervised learning
IEEE International Conference on Neural Networks, 1988Global stability is examined for nonlinear feedback dynamical systems subject to unsupervised learning. Only differentiable neural models are discussed. The unconditional stability of Hebbian learning systems is summarized in the adaptive bidirectional associative memory (ABAM) theorem.
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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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