Title :
Solution and stability of the damped Mathieu equation by the Wentzel-Kramers-Brillouin approach
Author_Institution :
Middle East Technical University, Ankara, Turkey
fDate :
4/1/1975 12:00:00 AM
Abstract :
An approximate solution for a linear, second-order, time-varying differential equation, which specializes to the damped Mathieu equation, is derived by using the Wentzel-Kramers-Brillouin approach. The conditions for the approximate solution to be valid are used as a stability criterion. The damped Mathieu equation is considered as a special case.
Keywords :
Differential equations; Linear systems, time-varying continuous-time; Stability; Circuit stability; Damping; Differential equations; Kinetic theory; Linear matrix inequalities; Lyapunov method; Nonlinear control systems; Nonlinear equations; Stability criteria; Stochastic systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1975.1100897
