The phrase "a finite time interval" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or any discussion involving time measurement where a specific duration is defined.
Example: "The experiment was conducted over a finite time interval to ensure accurate results."
Alternatives: "a limited time period" or "a defined time span".
In our case, the δ → 0 limit is armless, however, provided we keep a non-zero refractory period, ensuring that only finitely many spikes occur in a finite time interval.
Asymptotic convergence for a trajectory tracking within a finite time interval is achieved through repetitive tracking.
A Zeno hybrid system model is a hybrid system with an execution that takes an infinite number of discrete transitions during a finite time interval.
Secondly, the state-estimation-based sliding mode control law is designed to guarantee the reachability of the sliding surface in a finite time interval.
This transformation enables us to design an exponentially stabilizing controller under which the plant behaves as if the delays were absent after a finite time interval.
We consider solutions to the closed loop realizations of control systems with affine structure that admit infinitely many discrete transitions on a finite time interval.
In this context, it is shown that nonlinear impulsive control systems can be strongly observable or observable over a finite time interval.
Finite-time boundedness (FTB) concerns with the quantitative properties of system parameters during a finite time interval, in presence of external noise.
The controller design combines standard equivalent sliding mode control with linear quadratic (LQ) one over a finite time interval with a fixed final state (Lewis. 1986).
It is defined as the amount of hysteretic energy demand imposed on a structure over a finite time interval between two zero-crossing of bow system velocity.
In particular, we show how to use linear control theory to optimally extract work from a single heat source over a finite time interval in the manner of Maxwell's demon.
