Results 291 to 300 of about 785,707 (321)

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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Rates of Stability in Nonlinear Programming

Operations Research, 1976
We give conditions on a nonlinear programming problem for the set of feasible solutions to have stability on the order of a Lipschitz condition. These results then imply conditions for the optimal value of the objective function to satisfy a Lipschitz condition with respect to the right-hand side vector as well as for the set of ϵ-optimal solutions to
Stern, Michael H., Topkis, Donald M.
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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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Stochastic Stability of Nonlinear Oscillators

SIAM Journal on Applied Mathematics, 1988
The authors study the stability behavior of a non-linear oscillator parametrically excited by a stationary Markov process. They modify the notion of stability by considering \(H(E_ 0)=\sup_{t>0}E(t,E_ 0)\), where \(E(t)=U(x(t))+\dot x(t)^ 2\) is the sum of potential and kinetic energy, rather than the usual \(\sup_{t>0}| \vec x(t,\vec x_ 0)|\), where \(
Kłosek-Dygas, M. M., Matkowsky, B. J., Schuss, Z.   +2 more
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Differential Stability in Nonlinear Programming

SIAM Journal on Control and Optimization, 1977
This paper consists of a study of stability and differential stability in nonconvex programming. For a program with equality and inequality constraints, upper and lower bounds are estimated for the potential directional derivatives of the perturbation function (or the extremal-value function).
Gauvin, Jacques, Tolle, Jon W.
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On a Stability Inequality for Nonlinear Operators

SIAM Journal on Numerical Analysis, 1977
In this paper we prove a stability inequality for nonlinear operators mapping a subset of a partially ordered vector space into a space of the same type. On the basis of this general setting, we study applications to nonlinear systems, to the stability of a wide class of finite difference methods for ordinary and partial differential equations, as well
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Stabilization of a nonlinear jump system

Systems & Control Letters, 2002
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Nakura, Gou, Ichikawa, Akira
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Nonlinear Stability of a Liquid Jet

The Physics of Fluids, 1970
A nonlinear analysis is presented for the capillary stability of a cylindrical column of liquid, of circular cross section. A second-order expansion is obtained using the method of multiple time scales. It is found that the cutoff wavenumber which separates stable from unstable disturbances is amplitude dependent, in agreement with Yuen, and contrary ...
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Bifurcation in Nonlinear Hydrodynamic Stability

SIAM Review, 1975
The appearance of secondary motions in a viscous fluid field can be understood to some extent as a bifurcation phenomenon with exchange of stability between the basic and the secondary flow. This article summarizes the main mathematical results of bifurcation and stability in hydrodynamic stability theory so far obtained.
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