Get 41st IEEE Conference on Decision and Control, Tutorial PDF

By Blas M. Vinagre, YangQuan Chen (Eds.)

Show description

Read or Download 41st IEEE Conference on Decision and Control, Tutorial Workshop No. 2: Fractional Calculus Applications in Automatic Control and Robotics (Las Vegas, USA, December 9, 2002): Lecture Notes PDF

Similar calculus books

Get Cyclic Phenomena for Composition Operators PDF

The cyclic habit of a composition operator is heavily tied to the dynamical habit of its inducing map. in response to research of fixed-point and orbital houses of inducing maps, Bourdon and Shapiro convey that composition operators express strikingly different kinds of cyclic habit. The authors attach this habit with classical difficulties concerning polynomial approximation and analytic useful equations.

Download PDF by Bicheng Yang: Half-Discrete Hilbert-Type Inequalities

In 1934, G. H. Hardy et al. released a booklet entitled "Inequalities", during which a number of theorems approximately Hilbert-type inequalities with homogeneous kernels of measure -one have been thought of. due to the fact that then, the speculation of Hilbert-type discrete and crucial inequalities is nearly outfitted through Prof Bicheng Yang of their 4 released books.

Extra resources for 41st IEEE Conference on Decision and Control, Tutorial Workshop No. 2: Fractional Calculus Applications in Automatic Control and Robotics (Las Vegas, USA, December 9, 2002): Lecture Notes

Sample text

Now, go a step ahead and consider the simple case corresponding to the fraction 41st IEEE CONFERENCE ON DECISION AND CONTROL 47 TUTORIAL WORKSHOP #2. 4) where ν is a real number. The equation s ν = a has infinite solutions that are on a circle of radius |a|1/ν . However, in the general case, we cannot assure the existence of one pole in the principal Riemann surface. This is not the case of 0<ν≤1. In this case, we may have one pole on that branch. For this reason, in the following, we shall restricting our attention to the cases in which: a) the νn are rational numbers that we will write in the form p n/q n.

Till now, we considered a differintegration of signals with LT, that exclude, for example, the sinusoids defined for all the time and other similar signals having Fourier Transform, but not Laplace Transform (or its region of convergence is degenerate). 1) but with jω instead of s. We must begin by noting that the FT of the signum function, sgn(t), is given by 2 . With jω this we can write a table similar to the one presented before. table 2 This table suggests us to introduce the following definition of differintegration of δ(t): 1 (a) = a(a+1)(a+2) ...

Some attempts were made to create a formal framework to the study of Fractional Linear Systems, but without the desired generality, coherence, and usefulness of the final results{see [2,11,21-23]}. To our knowledge, the approach we propose here to the topic is original, although it has an "already seen" character. This is because we are dealing with very well known concepts. We merely generalise them to the fractional case. With this work we intend to give a first contribution for a correct understanding of some experimental [14,22,23] results and to open a new way into modelling, simulation, and estimation in real fractional systems.

Download PDF sample

41st IEEE Conference on Decision and Control, Tutorial Workshop No. 2: Fractional Calculus Applications in Automatic Control and Robotics (Las Vegas, USA, December 9, 2002): Lecture Notes by Blas M. Vinagre, YangQuan Chen (Eds.)


by Steven
4.0

Rated 4.62 of 5 – based on 10 votes