Moreover, the frequency of disturbance ranges in a finite interval.
When time is a continuous variable, the vector space is infinite-dimensional even when time is restricted to a finite interval.
Then the problem is solved on the finite interval using appropriate numerical methods.
It is continuity that enables modern mathematics to surmount the paradox of extension framed by the Pre-Socratic Eleatic Zeno a paradox comprising the question of how a finite interval can be made up of dimensionless points or instants.
Finite-time observers can realize the accurate reconstruction of the states in a finite interval of time.
Our implemented Property-Checker checks formal properties for a given mixed-signal circuit design over a finite interval of time.
In this way, a new stochastic operational matrix for generalized hat functions on the finite interval [0,T] is obtained.
In this paper, the principle of minimum cross entropy (CrossEnt) is extended to partial minimum CrossEnt principle, which is defined on a finite interval.
A simple version of this method is based on transforming design points on a finite interval to proportions of the interval.
For the region of engineering interest, mapping is isometrical, and for far field, shrink mapping which transforms an infinite interval into a finite interval is adopted.
Let ([a,b]) be a finite interval.
