415 citations
- Kyushu UniversityJP121 papers
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7 papers · 1 filter
Symmetric Decompositions of Free Kleinian Groups and Hyperbolic Displacements
İlker S. Yüce
In this paper, it is shown that every point in the hyperbolic 3-space is moved at a distance at least by one of the isometries of length at…
Sensor Selection for Target Tracking in Wireless Sensor Networks with Uncertainty
Nianxia Cao, Sora Choi, Engin Masazade +1
In this paper, we propose a multiobjective optimization framework for the sensor selection problem in uncertain Wireless Sensor Networks (WSNs). The uncertainties of the WSNs resul…
Sensor Selection for Estimation with Correlated Measurement Noise
Sijia Liu, Sundeep Prabhakar Chepuri, Makan Fardad +3
In this paper, we consider the problem of sensor selection for parameter estimation with correlated measurement noise. We seek optimal sensor activations by formulating an optimiza…
Reductions of Dynamics on Second Iterated Bundles of Lie Groups
Oğul Esen, Hasan Gümral
We consider trivializations of second iterated bundles of a Lie group that preserve lifted group structures. With such a trivialization, we elaborate Hamiltonian dynamics on cotang…
Tulczyjew's Triplet for Lie Groups II: Dynamics
Oğul Esen, Hasan Gümral
Taking configuration space as a Lie group, the trivialized Euler-Lagrange and Hamilton's equations are obtained and presented as Lagrangian submanifolds of the trivialized Tulczyje…
Bi-Hamiltonian Structure of Gradient Systems in Three Dimensions and Geometry of Potential Surfaces
Ender Abadoğlu, Hasan Gümral
Working bi-Hamiltonian structure and Jacobi identity in Frenet-Serret frame associated to a dynamical system, we proved that all dynamical systems in three dimensions possess two c…