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Cubic uniform spline functions defined on a time interval express the gait for one step.
The goal of this paper is to study conditions under which a linear time-varying system with control constrains defined on a time scale is controllable.
The class of real rd-continuous functions defined on a time scale (mathbb{T}) is denoted by (C_{mathrm{rd}}(mathbb{T},mathbb{R})).
The class of real ld-continuous functions defined on a time scale (mathbb{T}) is denoted by (C_{mathrm{ld}}(mathbb{T},mathbb{R})).
In the present section we investigate the Δ-limit point and Δ-cluster point concepts for a function defined on a time scale (mathbb{T}).
Generally, a regular baseline series can be set by means of an arbitrary function defined on a time interval (T = left{ {t_{k} = kh} right}, k = 1, ldots N,) h is 1 h.
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Let us suppose we have a multivariate time-series L(k) = {L1 k), L2 k), …., Lp k)} of p speed time-series defined on a discrete time history indexed by k = 1, 2, …., N. In our context L(k) is a vector composed of speed data of all the links Li of Rome GRA at time k; Li denotes equivalently, for the sake of brevity, the link Li−(i+1) in the clockwise direction.
The tail-biting trellis defined on a circular time axis can be split at section l=0 and duplicated on the time axis head-tail.
In block planning, for each demand element a due date is defined on a continuous time scale.
Assume that u is the solution of (1.2), defined on a maximal time interval ([0,T^)), (0< l< T^), and (u_{varepsilon}) exists on ([0,l]).
Tail-biting trellises are defined on a circular time axis and can have a smaller number of states than equivalent conventional trellises.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com