A note on geometric algebras and control problems with SO(3)‐symmetries
نویسندگان
چکیده
We study the role of symmetries in control systems through geometric algebra approach. discuss two specific problems on Carnot groups step 2 invariant with respect to action S O ( 3 ) $$ SO(3) . understand geodesics as curves suitable algebras which allows us assess a new algorithm for local control.
منابع مشابه
A Note on Spectrum Preserving Additive Maps on C*-Algebras
Mathieu and Ruddy proved that if be a unital spectral isometry from a unital C*-algebra Aonto a unital type I C*-algebra B whose primitive ideal space is Hausdorff and totallydisconnected, then is Jordan isomorphism. The aim of this note is to show that if be asurjective spectrum preserving additive map, then is a Jordan isomorphism without the extraassumption totally disconnected.
متن کاملA Note on CI-Algebras
In this paper, we considered ideal and filter of CI-algebra, and some fundamental properties to CI-algebras are discussed. Mathematics Subject Classification: 06F35, 03G25, 08A30
متن کاملA note on essentially left $phi$-contractible Banach algebras
In this note, we show that cite[Corollary 3.2]{sad} is not always true. In fact, we characterize essential left $phi$-contractibility of the group algebras in terms of compactness of its related locally compact group. Also, we show that for any compact commutative group $G$, $L^{2}(G)$ is always essentially left $phi$-contractible. We discuss the essential left $phi$-contractibility of some Fou...
متن کاملA Note on Cylindric Algebras
If two atomic cylindric set algebras of finite dimension > 1 are isomorphic, then base-minimality does not imply that they are lower-base isomorphic. This contrasts the case of boolean algebras. Mathematics Subject Classification: Primary 03G15, Secondary 03C05, 03C40
متن کاملA note on Q-algebras and quantization
In this note, we study Schwarz’s conjecture on application of Q-algebras to strict quantization. We prove that in the case of a torus with a constant Poisson structure, Schwarz’s formalism gives the same star product as Rieffel [10]. We construct twisted Fock modules as examples of quantization dg-modules in the case of a compact Kähler manifold. In particular, we relate this construction on CP...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Methods in The Applied Sciences
سال: 2022
ISSN: ['1099-1476', '0170-4214']
DOI: https://doi.org/10.1002/mma.8662