Parallel Computation of Domains of Attraction for Nonlinear Dynamic Systems

Region of attraction estimation of biological continuous Boolean models

“…This would allow us to obtain the corresponding level set, c, for the ROA estimate in larger dimensions. Parallelization methods would decrease the computation time of the interval approach to such larger dimensions [26].…”

“…It is not uncommon for there to be trajectories that are part of the ROA but are not contained in a quadratic Lyapunov function. It is impossible, however, to analytically determine which of the initial conditions inside the Lyapunov ROA estimate example[26] V (x) > 0 space eventually do converge to the equilibrium point and which initial conditions have the trajectories that go elsewhere.Figure 2.5 illustrates this characteristic.…”