Sentence examples for function in finite time from inspiring English sources
Theoretical studies indicate that the proposed algorithms can minimize the team objective function in finite time and all agents will reach a consensus in finite time.
Instead of directly discretizing the Delta functions, our proposed method decomposes the initial data into finite sums of smooth functions that remain smooth in finite time along the phase flow, and hence can be solved much more easily using conventional high order discretization schemes.
The distributed optimization objective is not only to drive the agents to reach a consensus but also to cooperatively minimize the sum of the objective functions of each agent in finite time.
Let and the radial initial function satisfies (1.6), then blows up in finite time.
Because the maps, are continuous, then the cycles of (2.1) inherit the stability of and under the monotonic map Finally, when has no fixed points, then we have a monotonically increasing function below and obviously, orbits go negative in finite time.
We show that if (pq>1) and (u_{0}), (v_{0}) are nonnegative and nontrivial functions the solution ((u,v)) blows up in finite time T, and if (pqleq 1) the solution ((u,v)) exists globally.
The disturbance is compensated exactly in finite time using a discontinuous function through an integral action.
By constructing Lyapunov function and using inequalities, some effective criteria are provided to realize synchronization in finite time.
Under certain conditions, the whole group converges on a single opinion in finite time.
Certainly infinitesimal uncertainties never become finite in finite time (barring super exponential growth).
