Results 281 to 290 of about 216,988 (317)

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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A characterization of the nonlinearity of d-stability

Journal of Mathematical Economics, 1975
Abstract A set of equilibrium prices in a multiple commodity market is stable regardless of the adjustment rates in each market if and only if the Jacobian of the system is D-stable. In this note we show that a stable matrix is D-stable if and only if a certain pair of simultaneous nonlinear equations does not have a common zero over the range of ...
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Stability of Nonlinear Computing Schemes

SIAM Journal on Numerical Analysis, 1969
by deriving necessary and sufficient conditions for the stability of nonlinear computing schemes. In ? 1, we motivate the concept of stability to be used here and provide the basic definitions. In ? 2, we prove the main theorem on stability which relates stability to conditions on the Frechet derivatives of the operators. As corollaries of this theorem
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STABILIZATION OF NONLINEAR PARABOLIC EQUATIONS

IFAC Proceedings Volumes, 1983
Abstract We are concerned with the possibility of constructing implementable feedback control laws to stabilize ů + Au = f(u), primarily through the boundary conditions. Semigroup methods are employed to reduce the semi- linear problem to a linear one, to show stabilizability of certain parabolic problems by feedback and, finally, to show for the one-
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Stability of speed regulating system of hydropower station with surge tank considering nonlinear turbine characteristics

Renewable Energy, 2020
Wencheng Guo
exaly  

Nonlinear systems: Stability analysis

IEEE Transactions on Systems, Man, and Cybernetics, 1985
Jake K. Aggarwal, Mathukumalli Vidyasagar   +1 more
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Input-to-state stability for discrete-time nonlinear systems

Automatica, 2001
Zhong-Ping Jiang
exaly  

Nonlinear Stability

1984
Frances Bauer, Octavio Betancourt, Paul Garabedian   +2 more
openaire   +1 more source

Nonlinear Nonmodal Stability Theory

Annual Review of Fluid Mechanics, 2018
Rich R Kerswell
exaly  

Input-to-state stability for nonlinear systems with stochastic impulses

Automatica, 2020
Yang Tang, Xiaotai Wu
exaly