Constructive Estimation of the Lyapunov Function for Quadratic Nonlinear Systems

作者: A. A. Martynyuk , D. Ya. Khusainov , V. A. Chernienko

DOI: 10.1007/S10778-018-0886-Y

关键词: Lyapunov functionQuadratic nonlinearityMathematicsNonlinear systemEquations of motionApplied mathematicsSystem of linear equationsQuadratic equationConstructiveMotion (geometry)Mechanical engineeringMechanics of Materials

摘要: A system of perturbed equations motion with quadratic nonlinearity is considered. New estimates the Lyapunov function are established and two conclusions formulated. constraints presented. For coupled systems equations, boundedness conditions for some variables established. Practical in given domains initial subsequent perturbations quasi-linear considered as an example.

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T. Yoshizawa, Vimal Singh, Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions IEEE Transactions on Systems, Man, and Cybernetics. ,vol. 9, pp. 314- 314 ,(1979) , 10.1109/TSMC.1979.4310210