A shadowing lemma for abelian Higgs vortices by Macri M., Nolasco M., Ricciardi T.

By Macri M., Nolasco M., Ricciardi T.

Show description

Read or Download A shadowing lemma for abelian Higgs vortices PDF

Best nonfiction_1 books

Carbohydrates (Best Synthetic Methods)

There's a mammoth and infrequently bewildering array of man-made equipment and reagents to be had to natural chemists this day. The top artificial equipment sequence permits the working towards artificial chemist to select from all of the possible choices and investigate their genuine merits and boundaries. each one bankruptcy during this booklet info a selected topic linked to carbohydrate synthesis.

Additional info for A shadowing lemma for abelian Higgs vortices

Example text

C, are matrices of suitable dimensions with entries in R and h ∈ R+ is a given delay. Introducing the delay operator δ, which is defined for any time function f (t) by δf (t) = f (t − h), we can write Σd = x˙ (t) = y(t) = a i i=0 Ai δ x (t) + c i C δ i=0 i x (t). b i=0 Bi δ i u(t) (2) Formally, it is possible to substitute the delay operator δ with the algebraic indeterminate ∆, so that, denoting by A, B, C the matrices with entries in R = R[∆] given, respectively, by a b Ai ∆ i , A= i=0 c Bi ∆i , B= Ci ∆i , and C = i=0 i=0 we can associate to Σd the system Σ over the ring R = R[∆] of real polynomials in one indeterminate, defined by the set of equations Σ= x(t + 1) = Ax(t) + Bu(t) y(t) = Cx(t).

Robustness had become a central issue in system and control theory, focusing the researchers’ attention from the study of a single model to the investigation of a set of models, described by a set of perturbations of a “nominal” model. This set, often indicated as the uncertainty model set, has to be suitably constructed to describe the inherent uncertainty about the system under consideration and to be used for analysis and design purposes. H∞ identification methods deliver uncertainty model sets in a form suitable to be used by well-established robust design techniques, based on H∞ or µ optimization methods.

Of the 1st IFAC Workshop on Linear Time Delay Systems (1998) Grenoble, France 17. Proc. of the 2nd IFAC Workshop on Linear Time Delay Systems (2000) Ancona, Italy 18. Proc. of the 3rd IFAC Workshop on Linear Time Delay Systems (2001) Albuquerque, NM 19. Proc. of the 4th IFAC Workshop on Linear Time Delay Systems (2003) Rocquencourt, France 20. Patton RJ, Frank PM, Clark RN (2000) Issues of fault diagnosis for dynamical systems, Springer-Verlag, New York 21. Picard P (1996) Sur l’observabilit´e et la commande des syst`emes lin´eaires ` a retards mod´elis´es sur un anneau, Th`ese de Doctorat, Universit´e de Nantes 22.

Download PDF sample

Rated 4.98 of 5 – based on 36 votes