Displaying similar documents to “Equilibrium stability of a servo actuating flight controls in a servoelastic framework.”

An application of the second Lyapunov method to stability investigation of differential equations with deviations

Denis Khusainov (1998)

Archivum Mathematicum

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The paper presents overview of applications of A. M. Lyapunov’s direct method to stability investigation of systems with argument delay. Methods of building Lyapunov-Krasovskiy funcionals for linear systems with constant coefficients are considered. Lyapunov quadratic forms are used to obtain applicable methods for stability investigation and estimation of solution convergence for linear stationary systems, as well as non-linear control systems and systems with quadratic and rational...

H 1 -stability of mKdV multi-kinks

Claudio Muñoz (2011)

Journées Équations aux dérivées partielles

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We describe some recent results concerning the nonlinear L 2 -stability of multi-solitons of the Korteweg-de Vries equation [], and H 1 -stability of multi-kinks of the modified Korteweg-de Vries []. The proof of both results is closely linked to stability properties for solitons of the integrable Gardner equation, which have been considered by Martel, Merle and Tsai [, ].

Dynamics analysis and robust modified function projective synchronization of Sprott E system with quadratic perturbation

Zhen Wang, Wei Sun, Zhouchao Wei, Xiaojian Xi (2014)

Kybernetika

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Hopf bifurcation, dynamics at infinity and robust modified function projective synchronization (RMFPS) problem for Sprott E system with quadratic perturbation were studied in this paper. By using the method of projection for center manifold computation, the subcritical and the supercritical Hopf bifurcation were analyzed and obtained. Then, in accordance with the Poincare compactification of polynomial vector field in R 3 , the dynamical behaviors at infinity were described completely....