A New Method for Equilibria and Stability Analysis of Nonlinear Dynamical Systems

Abstract:

A novel method based on numerical continuation algorithm for equilibria and stability analysis of nonlinear dynamical system is introduced and applied to an aircraft vehicle model. Dynamical systems are usually modeled with differential equations, while their equilibria and stability analysis are pure algebraic problems. The newly-proposed method in this paper provides a way to solve the equilibrium equation and the eigenvalues of the locally linearized system simultaneously, which avoids QR iterations and can save much time.

• Periodical: Applied Mechanics and Materials (Volume 534)
• Pages: 131-136
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.534.131
• Online since: February 2014
• Authors: Long Cao, Yi Hua Cao
• Keywords: Aircraft Trim, Equilibrium, Nonlinear Dynamical Systems, Pseudo-Arclength Continuation, Stability

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