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Stability in Nonlinear Programming

Operations Research, 1970
This paper establishes necessary and sufficient conditions for constraint set stability requiring neither convex constraint functions not convex constraint sets. These conditions then lead to a sufficiency result for the continuity of the optimal objective values as the right-hand side varies. Applications to quasiconvex functions are presented.
Evans, J. P., Gould, F. J.
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Optimization for Nonlinear Stability

Civil-Comp Proceedings, 1988
Abstract This paper is concerned with the optimal design of trusses to withstand nonlinear stability requirements. While basically a geometrically nonlinear problem, nonlinear stability accounts for large rotations and equilibrium in the deformed state in contrast to linear stability which results in a generalized eigenvalue problem and handles small
Robert Levy, Huei-Shiang Perng
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Nonlinear quantitative stability

International Journal of Robust and Nonlinear Control, 2004
AbstractThis work makes use of the Schauder fixed point theorem to develop a quantitative approach to the stability problem of non‐linear QFT designs. The method is applied to non‐linear systems having a linear high‐frequency behaviour, allowing nonlinearities in the input and output, and is especially well suited for systems with hard memoryless ...
Baños, Alfonso, Horowitz, Isaac M.
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Nonlinear magnetohydrodynamic stability

The Physics of Fluids, 1981
Ways have been found to significantly upgrade the resolution of an equilibrium and stability code that is based on the variational principle of ideal magnetohydrodynamics. Nonlinear saturation of ballooning modes for tokamaks has been demonstrated using a revised version of the code. Second stability regions are calculated from the nonlinear dependence
Bauer, F.   +2 more
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STABILIZATION OF PLANAR NONLINEAR SYSTEMS

IFAC Proceedings Volumes, 1992
Abstract In this paper, we investigate the C1-stabilizability of affine control nonlinear systems in the plane. The feedback laws are given by means of Center manifold machinery.
R. Chabour, A. Iggidr
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