A New Method for Equilibria and Stability Analysis of Nonlinear Dynamical Systems
2014 ◽
Vol 534
◽
pp. 131-136
Keyword(s):
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.
2020 ◽
Vol 22
(4)
◽
pp. 79-87
2014 ◽
Vol 22
(341)
◽
pp. 29-33
2017 ◽
Vol 20
(1)
◽
pp. 61-70
2020 ◽
2008 ◽
Vol 18
(05)
◽
pp. 1531-1537
◽
2017 ◽
Vol 24
(1)
◽
pp. 68-81
◽
2008 ◽
Vol 464
(2097)
◽
pp. 2341-2363
◽