Much research has been performed on the efficient design and implementation of finite impulse response (FIR) digital differentiators. Some of the commonly used design procedures include windows based designs [1], minimax designs [2], eigenfilters [3], [4], optimization techniques [5], the weighted least squares technique [6], and a recent design with optimal noise attenuation [7]. Another impor...

In this note, we propose high-gain numerical differentiators for estimating the higher derivatives of a given signal. We consider timevarying high-gain vectors converging exponentially to the high-gain vectors introduced by Esfandiari and Khalil in an earlier paper. The dynamics of these time-varying high-gain vectors can be chosen in order to achieve specific objectives, such as peaking attenu...

Porovnanie metód pre diskrétnu aproximáciu operátorov neceločíselného rádu In this paper we will present some alternative types of discretization methods (discrete approximation) for the fractional-order (FO) differentiator and their application to the FO dynamical system described by the FO differential equation (FDE). With analytical solution and numerical solution by power series expansion (...

In this paper, we describe recent improvements to the theory of differentiation that is formalized in ACL2(r). First, we show how the normal rules for the differentiation of composite functions can be introduced in ACL2(r). More important, we show how the application of these rules can be largely automated, so that ACL2(r) can automatically define the derivative of a function that is built from...

For an unmanned aerial vehicle (UAV) of aircraft type, the problems planning achievable trajectories as well robust control under wind disturbances are considered. A computationally simple method for compiling a primary non-smooth 4D trajectory is proposed. Its segments connect given waypoints and determine desired average velocity in various sections. Instead time-consuming methods analytical ...

multiple people detection and tracking is a challenging task in real-world crowded scenes. in this paper, we have presented an online multiple people tracking-by-detection approach with a single camera. we have detected objects with deformable part models and a visual background extractor. in the tracking phase we have used a combination of support vector machine (svm) person-specific classifie...