Abstract. In [10,11] we proposed a technique to approximate Hybrid. Automata (HA) with Polynomial HA. The idea was to replace functions.
May 24, 2024 · You get the coefficients of a Taylor expansion by repeatedly differentiating and setting its derivative at one point to be equal to that of the function being ...
Missing: Hybrid | Show results with:Hybrid
PDF | We propose a new approximation technique for Hybrid Automata. Given any Hybrid Automaton H, we call Approx(H,k) the Polynomial Hybrid Automaton.
Missing: Integrals. | Show results with:Integrals.
Jan 21, 2014 · The Taylor expansion in both cases results in a series that's uniformly convergent and therefore one should be able to interchange integration and summation.
Missing: Extending Approximation
Aug 10, 2007 · We propose a new approximation technique for Hybrid Automata. Given any Hybrid Automaton H, we call App rox(H, k).
This integral has a wide range of applications. The same integral with finite limits is closely related both to the error function and the probability density ...
It is shown that a spline based series approximation to an integral yields, in general, a higher accuracy for a set order of approximation than a dual Taylor ...
Extending the TMF Calculus? division to be added to the axiomatisation for F. NaN and ±∞ will be added. Operations and ...
For the first one, we present the use of Taylor models as the over-approximate representations for non- linear ODE solutions. Our work can be viewed as a ...
Apr 14, 2010 · We show how to devise a type of continuous function models and thereby parametrise the framework with respect to the used approximation, which ...
Missing: Integrals. | Show results with:Integrals.