A STUDY OF THE CONSTRUCTION OF LYAPUNOV FUNCTION FOR A CLASS OF FOURTH ORDER NONLINEAR SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (2): 195-202.

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A STUDY OF THE CONSTRUCTION OF LYAPUNOV FUNCTION FOR A CLASS OF FOURTH ORDER NONLINEAR SYSTEMS

Liang Zai-zhong

Department of Applied Mathematics, Beijing Polytechnic University, Beijing

Received:1994-04-01 Online:1995-02-18 Published:1995-02-18

Abstract

Abstract: In the paper Lyapunov function for a fourth order linear system is given and stability of the trivial solutions to a class of.fourth order nonlinear systems is studied.

Key words: dissipative porous solid, immiscible viscous fluid, elastic wave, propagation, attenuation, reflection and refraction coefficients, nonlinear, stability, Lyapunov function

Liang Zai-zhong. A STUDY OF THE CONSTRUCTION OF LYAPUNOV FUNCTION FOR A CLASS OF FOURTH ORDER NONLINEAR SYSTEMS. Applied Mathematics and Mechanics (English Edition), 1995, 16(2): 195-202.

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A STUDY OF THE CONSTRUCTION OF LYAPUNOV FUNCTION FOR A CLASS OF FOURTH ORDER NONLINEAR SYSTEMS

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