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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 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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Nonlinear Systems: Stability Analysis

IEEE Transactions on Systems, Man, and Cybernetics, 1982
This work, which is part of the benchmark series in electrical engineering and computer science, is a compilation of the research papers representing the major advances in the area of nonlinear systems stability. It contains a total of 28 papers that pertain to both Lyapunov-like approach applied to ordinary differential equations and functional ...
J. K. Aggarwal   +2 more
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Nonlinear Oligopolies

2010
The book focuses on the dynamics of nonlinear oligopoly models. It discusses the classical Cournot model with a large variety of demand and cost functions that illustrate the many different types of possible best response functions and it shows the existence of unique and multiple equilibria.
BISCHI, GIAN ITALO   +3 more
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Nonlinear Input-output Stability and Stabilization

1997
In this paper we focus on the input-output method of stability analysis for nonlinear systems. The fundamental ideas underlying this method were developed in the 1960’s by authors such as Zames and Sandberg (see [8], [17], [9], [18] and the references therein). Some notable additional insight was provided by Safonov [7] in 1980. In the last five years,
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Weakly nonlinear stability analysis of triple diffusive convection in a Maxwell fluid saturated porous layer

Applied Mathematics and Mechanics, 2017
K. R. Raghunatha   +2 more
semanticscholar   +1 more source

Nonlinear Stability

1984
Frances Bauer   +2 more
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STABILITY OF NONLINEAR CIRCUITS

1952
Abstract : An analysis is made of the stability of the various states of equilibrium of circuits containing a nonlinear element. This stability is dependent upon the dynamic current-voltage characteristics of the element and cannot be determined from the static characteristic alone.
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