Energy dispersive X-ray fluorescence spectrometry in the detection of Ikizdere ore concentrates
Journal of Quantitative Spectroscopy and Radiative Transfer, cilt.75, sa.3, ss.351-356, 2002 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 75 Sayı: 3
- Basım Tarihi: 2002
- Doi Numarası: 10.1016/s0022-4073(02)00026-2
- Dergi Adı: Journal of Quantitative Spectroscopy and Radiative Transfer
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.351-356
- Atatürk Üniversitesi Adresli: Evet
Özet
In this paper, we aim to develop distributed continuous-time algorithms over directed graphs to seek the Nash equilibrium in a noncooperative game. Motivated by the recent consensus-based designs, we present a distributed algorithm with a proportional gain for weight-balanced directed graphs. By further embedding a distributed estimator of the left eigenvector associated with zero eigenvalue of the graph Laplacian, we extend it to the case with arbitrary strongly connected directed graphs having possible unbalanced weights. In both cases, the Nash equilibrium is proven to be exactly reached with an exponential convergence rate. An example is given to illustrate the validity of the theoretical results.