Discrete-time control systems on homogeneous spaces: partition

Control and Cybernetics vol. 35 (2006) No. 4. Discrete-time control systems on homogeneous spaces: partition property 1 by. Jens Jordan. Universität ...

0 downloads 0 Views 142KB Size

Recommend Documents

Singular integrals, maximal functions, spaces of homogeneous type. ' The content of .... Let X he the euclidean space R" and \x be the Lebesgue measure. Let.

Ed Henrich, Ian Hiskens, David Hill and David Stewart as well several anonymous reviewers. Apart from the support of ...... Methods from matrix calculus have been applied by Godbout and Jordan (1989) and ...... (6.4.4) was used for the first six iter

Dugundji compactum. Since it has countable tightness, it is metrizable. But then. X is not uniquely homogeneous by the result of Barit and Renaud [6]. D. Question 4.4. If G is a locally compact topological group, does G admit a homeomorphism that doe

will define a subspace of non-maximal expansion, to be denoted by V ămax b ...... (i)1 a is a diagonal matrix, k belongs to the compact group Oi1 '¨¨¨'Oik , and u ...

first example det(ρ(g)B) = det(gBgt) = det(g)2 det(B), so f(X) = det(X) is a relatively invariant polynomial and χ(g) = det(g)2 is the corresponding character.

My family has been a tremendous support network during the past years. ...... Let ξ ∈ t, and let Xξ be the symplectic vector field on M generated by the infinitesimal action of t ..... diffeomorphic to the standard action of “rotation about the

completely homogeneous Alexandroff discrete L- topological spaces. ... L- topology, Completely homogeneous L- topological space, Group of L- homeo-.

using the geometry of the homogeneous space explicitly preserve the constraint set. ..... augmented with additional check procedures and tests to guarantee .... cipal component analysis was developed by a number of authors in the mid eighties ......

the total space |E| of E. Lazarsfeld proved that E is always ample. This result implies in particular W. Barth's theorem [2] for the cohomology of small.

Sep 15, 2000 - a representation of the non-abelian Weil algebra on the tensor product, ..... Borel-Weil-Bott theorem expressed not in its customary form ...

Moreover, we show that these spaces satisfy a topological scaling property: all non-empty .... If X is a uniquely arcwise connected space, we will denote by.

homogeneous countable connected hausdorff spaces 309 pk = (Xi, x2, • • • ..... ing topology is a countable connected Hausdorff space. Lemma 1. For each i, (y\, ...

n comes from a choice of a basis). Now, ric becomes a map ric : Sym+ n ↦→ Symn, and r : Symn ↦→ R. We get the (beautiful) ODE system with constraints: (25).

through matrix models[6][7]. ..... 3There are p + q boxes in the first low and q boxes in the second low. 7 ..... [14] C.N. Yang, SU(2) monopole harmonics,J.Math.

contains homogeneous polynomials and ... are constant vector fields. For single-input systems, it is shown that even-degree homo- geneity precludes STLC if the state dimension is larger than one. This, along with the obvious result that for odd-degre

I, Invent. Math. 10 (1970), 305-331. MR 46. #8263. 8. J. M. Souriau, Structure des systèmes dynamiques, Maîtrises de mathe'matiques,. Dunod, Paris, 1970.

Lund University. [email protected] February 8, 2016 ... Orthogonal Harmonic Families - Constructions .... Theorem 1.3 (Baird, Eells 1981).

Ann. 97 (1927), 737-755. [8] I. Schur, Neue .... real one for spacetime concepts, from flat to spherical earth to special and general relativity, and a ... the transition from an idolized group H to the full group G. With the funda- ...... trs( q m)

(see the proof of Theorem 9.2) that each continuous PH of degree one function f ... The representation of a symmetric PH of degree two function as the upper enve- ... present as the upper envelope of a very thin set of symmetric quadratic form.

Feb 2, 2008 - 2,−12,2,5 are comprime, H14 is a free Z-module. For H19, the second relation, multiplied by h5 and s, gives. {. 2h5st − 12h14s + 2h10t + 5h19 = ...

l=0 skck dl 〈Rk,Rl〉. = 〈f,g〉 + n. ∑ k=0 skck dk. 1 h(k). = 〈f, Ag〉, because of sk ∈ R. Since the sn are strictly increasing, it follows. 〈Af, f〉 = n. ∑ k=0. |ck|2 (1 + sk).

Mar 16, 2015 - Sp(n + 1)U(1). Sp(n)∆U(1). S4n+3. ∆Z2. S1. Spin(9). Spin(7). S15. {e} ... We can thus assume that K and H are compact and connected, and that.

the Lie algebra generated by completely integrable algebraic vector fields on X coincides with the space of all algebraic ... vector fields on X. An affine algebraic manifold X has the algebraic density property if the Lie ...... [FuHa] W. Fulton, J.

lM is semi-homogeneous, then the set of p's for which lp is isomorphic to a subspace .... Hence the latter inequality is equivalent to cr ≤ C0 · (ckr/ck), i.e., by (1),.