Journal of Systems Science and Complexity

Trong vấn đề PnP, các thiết bị hình ảnh tuân theo quy tắc phối cảnh và các tia hình ảnh đi qua một điểm chung. Tuy nhiên, hiện có nhiều thiết bị hình ảnh mới đang được phát triển cho việc điều hướng robot hoặc các lĩnh vực khác với sự tiến bộ trong công nghệ hình ảnh cho thị giác máy. Các thiết bị này không nhất thiết phải được thiết kế để tuân theo quy tắc phối cảnh nhằm đáp ứng một số tiêu chí thiết kế nhất định và do đó, các tia hình ảnh có thể không đi qua một điểm chung. Các thiết bị hình ảnh tổng quát như vậy có thể không phải là phối cảnh và do đó, tư thế của chúng không thể được ước lượng bằng kỹ thuật phối cảnh truyền thống. Sử dụng phương pháp phân tích không của Wu-Ritt, chúng tôi cung cấp thành phần chính cho vấn đề ba điểm không theo phối cảnh. Chúng tôi chứng minh rằng trong trường hợp tổng quát, có tối đa tám giải pháp và cung cấp phân loại giải pháp cho vấn đề NP3P.

With the development of the global economy, interaction among different economic entities from one region is intensifying, which makes it significant to consider such interaction when constructing composite index for each country from one region. Recent advances in signal extraction and time series analysis have made such consideration feasible and practical. Singular spectrum analysis (SSA) is a well-developed technique for time series analysis and proven to be a powerful tool for signal extraction. The present study aims to introduce the usage of the SSA technique for multi-country business cycle analysis. The multivariate SSA (MSSA) is employed to construct a model-based composite index and the two dimensional SSA (2D-SSA) is employed to establish the multi-country composite index. Empirical results performed on Chinese economy demonstrate the accuracy and stability of MSSA-based composite index, and the 2D-SSA based composite indices for Asian countries confirm the efficiency of the technique in capturing the interaction among different countries.

This paper deals with Henig globally efficiency in vector optimization involving generalized cone-preinvex set-valued mapping. Some properties of generalized cone-preinvex set-valued map are derived. It also disclose the closed relationships between Henig globally efficiency of generalized conepreinvex set-valued optimization problem and Henig globally efficiency of a kind of vector variational inequality.

This paper formulates and analyzes a line search method for general nonlinear equality constrained optimization based on filter methods for step acceptance and secant methods for search direction. The feature of the new algorithm is that the secant algorithm is used to produce a search direction, a backtracking line search procedure is used to generate step size, some filtered rules are used to determine step acceptance, second order correction technique is used to reduce infeasibility and overcome the Maratos effect. Global convergence properties of this method are analyzed: under mild assumptions it is showed that every limit point of the sequence of iterates generated by the algorithm is feasible, and that there exists at least one limit point that is a stationary point for the problem. Moreover, it is also established that the Maratos effect can be overcome in our new approach by adding second order correction steps so that fast local superlinear convergence to a second order sufficient local solution is achieved. Finally, the results of numerical experiments are reported to show the effectiveness of the line search filter secant method.

Platoon formation of highway vehicles is a critical foundation for autonomous or semiautonomous vehicle control for enhanced safety, improved highway utility, increased fuel economy, and reduced emission toward intelligent transportation systems. Platoon control encounters great challenges from vehicle control, communications, team coordination, and uncertainties. This paper introduces a new method for coordinated control of platoons by using integrated network consensus decisions and vehicle control. To achieve suitable coordination of the team vehicles based on terrain and environmental conditions, the emerging technology of network consensus control is modified to a weighted and constrained consensus-seeking framework. Algorithms are introduced and their convergence properties are established. The methodology employs neighborhood information through on-board sensors and V2V or V2I communications, but achieves global coordination of the entire platoon. The ability of the methods in terms of robustness, disturbance rejection, noise attenuation, and cyber-physical interaction is analyzed and demonstrated with simulated case studies.

This paper mainly studies the strong convergence properties for weighted sums of extended negatively dependent (END, for short) random variables. Some sufficient conditions to prove the strong law of large numbers for weighted sums of END random variables are provided. In particular, the authors obtain the weighted version of Kolmogorov type strong law of large numbers for END random variables as a product. The results that the authors obtained generalize the corresponding ones for independent random variables and some dependent random variables. As an application, the authors investigate the errors-in-variables (EV, for short) regression models and establish the strong consistency for the least square estimators. Simulation studies are conducted to demonstrate the performance of the proposed procedure and a real example is analysed for illustration.