Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Jaroslav Hrdina"'
Publikováno v:
Mendel, Vol 23, Iss 1 (2017)
We describe the local control of a (6{8){link snake like robot endowed with omnidirectional wheels on two links (head and tail). All calculations including the position, direct kinematics, di erential kinematics and inverse kinematics are described i
Externí odkaz:
https://doaj.org/article/376e99c460644f4db3db55d66f2f1515
Autor:
Jaroslav Hrdina, Petr Vašík
Publikováno v:
Journal of Applied Mathematics, Vol 2014 (2014)
Multiaxis machines error modeling is set in the context of modern differential geometry and linear algebra. We apply special classes of matrices over dual numbers and propose a generalization of such concept by means of general Weil algebras. We show
Externí odkaz:
https://doaj.org/article/1f94499623e24d1781193e85a877455d
Autor:
Jaroslav Hrdina, Petr Vašík
Publikováno v:
Journal of Applied Mathematics, Vol 2013 (2013)
The thermomechanical behavior of a material is expressed mathematically by means of one or more constitutive equations representing the response of the body to the history of its deformation and temperature. These settings induce a set of connections
Externí odkaz:
https://doaj.org/article/4755c639c4a449c998e4e9e13f3ea3f7
Publikováno v:
Mathematics and Computers in Simulation. 190:474-493
We focus on the role of symmetries in geometric control theory from the Hamiltonian viewpoint. We demonstrate the power of Ian Anderson's package Differential Geometry in CAS software Maple for dealing with control problems on Lie groups. We apply th
Autor:
Ivan Eryganov, Jaroslav Hrdina
Publikováno v:
Mathematical Methods in the Applied Sciences.
Publikováno v:
Mathematical Methods in the Applied Sciences.
We propose to represent both $n$--qubits and quantum gates acting on them as elements in the complex Clifford algebra defined on a complex vector space of dimension $2n.$ In this framework, the Dirac formalism can be realized in straightforward way.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76e31f69a48d520129258b4028d21fff
Autor:
Lenka Zalabová, Jaroslav Hrdina
Publikováno v:
Journal of Dynamical and Control Systems. 26:199-216
We study local control of a mechanism with the growth vector (4,7). We study controllability and extremal trajectories of the nilpotent approximation as an example of the control theory on a Lie group. We provide solutions to the system and show exam
Publikováno v:
Advances in Applied Clifford Algebras, 31(2):18. Birkhauser Verlag Basel
We show that if Projective Geometric Algebra (PGA), i.e. the geometric algebra with degenerate signature (n, 0, 1), is understood as a subalgebra of Conformal Geometric Algebra (CGA) in a mathematically correct sense, then flat primitives share the s
We study the role of symmetries in control systems through the geometric algebra approach. We discuss two specific control problems on Carnot groups of step $2$ invariant with respect to the action of $SO(3)$. We understand the geodesics as the curve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::282301dcc97dd5ec900741ddaa9d907b