Invariant Differential Positivity and Consensus on Lie Groups

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Differential Invariant Algebras of Lie Pseudo–Groups

The goal of this paper is to describe, in as much detail as possible, the structure of the algebra of differential invariants of a Lie pseudo-group. Under the assumption of local freeness of the prolonged pseudo-group action, we develop algorithms for locating a finite generating set of differential invariants, establishing the recurrence relations for the differentiated invariants, and fixing ...

متن کامل

Invariant Smoothing on Lie Groups

In this paper we propose a (non-linear) smoothing algorithm for group-affine observation systems, a recently introduced class of estimation problems on Lie groups that bear a particular structure. As most non-linear smoothing methods, the proposed algorithm is based on a maximum a posteriori estimator, determined by optimization. But owing to the specific properties of the considered class of p...

متن کامل

Invariant Differential Operators for Non-Compact Lie Groups: Parabolic Subalgebras

In the present paper we start the systematic explicit construction of invariant differential operators by giving explicit description of one of the main ingredients the cuspidal parabolic subalgebras. We explicate also the maximal parabolic subalgebras, since these are also important even when they are not cuspidal. Our approach is easily generalised to the supersymmetric and quantum group sett...

متن کامل

Left Invariant Contact Structures on Lie Groups

A result from Gromov ensures the existence of a contact structure on any connected non-compact odd dimensional Lie group. But in general such structures are not invariant under left translations. The problem of finding which Lie groups admit a left invariant contact structure (contact Lie groups), is then still wide open. We perform a ‘contactization’ method to construct, in every odd dimension...

متن کامل

Notes on Differential Geometry and Lie Groups

However, for any point p on the manifold M and for any chart whose domain contains p, there is a convenient basis of the tangent space Tp(M). The third definition is also the most convenient one to define vector fields. A few technical complications arise when M is not a smooth manifold (when k 6=∞), but these are easily overcome using “stationary germs.” As pointed out by Serre in [161] (Chapt...

متن کامل

ذخیره 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: IFAC-PapersOnLine

سال: 2016

ISSN: 2405-8963

DOI: 10.1016/j.ifacol.2016.10.236