... ) ‖ and describes the almost-sure or sample stability of the system. When the largest Lyapunov exponent λ is negative, system 1 is asymptotically stable with probability 1. diffusion linear differential equations Lyapunov methods Monte Carlo methods numerical analysis stability stochastic...

..., methods, and applications of the fractional calculus. decomposition damping linear differential equations transient response 2005 ASME ...

... linear differential equations delay-differential systems delays control system analysis nonlinear control systems asymptotic stability large-scale systems multidimensional systems Delay differential equations (DDEs) are infinite-dimensional systems which find application in manufacturing...

... potential is expressed in a double series form, and after some mathematical manipulation the problem results in a series of systems of ordinary linear differential equations, one for each longitudinal mode. For the particular case of harmonic motion, a semi-analytical solution is possible. Keeping only...