New summation inequalities and their applications to discrete-time delay systems

This paper provides new summation inequalities in both single and double forms to be used in stability analysis of discrete-time systems with time-varying delays. The potential capability of the newly derived inequalities is demonstrated by establishing less conservative stability conditions for a class of linear discrete-time systems with an interval time-varying delay in the framework of linear matrix inequalities. The effectiveness and least conservativeness of the derived stability conditions are shown by academic and practical examples.Comment: 15 pages, 01 figur

On the existence and exponential attractivity of a unique positive almost periodic solution to an impulsive hematopoiesis model with delays

In this paper, a generalized model of hematopoiesis with delays and impulses is considered. By employing the contraction mapping principle and a novel type of impulsive delay inequality, we prove the existence of a unique positive almost periodic solution of the model. It is also proved that, under the proposed conditions in this paper, the unique positive almost periodic solution is globally exponentially attractive. A numerical example is given to illustrate the effectiveness of the obtained results.Comment: Accepted for publication in AM

Study to process abnormal data for GNSS monitoring system of a long-span cable-stayed bridge in Vietnam

Global Positioning System (GPS) or currently upgraded to Global Navigation Satellite System (GNSS) has been applied in many SHM systems of the super-structures, especially in the long-span bridges. A GNSS system has the ability in monitoring the global deformation of a long-span cable-stayed bridge at the millimeter level of accuracy in real-time. However, the GNSS monitoring dataset acquired from a SHM system includes various noise data such as abnormal data, missing data, and so on. This paper studies de-noising methods to detect and replace the abnormal data of a GPS monitoring dataset acquired from a real cable-stayed bridge in Vietnam. Firstly, a GPS monitoring dataset of an actual long-span cable-stayed bridge was acquired to study processing abnormal data. A scenario of abnormal data was created in a time-series GPS data, and then the Hampel identifier method was applied to detect and replace the abnormal data. The replacing data were then assessed for precision and reliability by using correlation analysis and RMSE criterion. Finally, a long-term GNSS monitoring dataset processed the abnormal data automatically. The results show, that abnormal data in GPS monitoring data can be detected and replaced with high accuracy and reliability

A Note on the Asymptotic Stability of Fuzzy Differential Equations

We study the stability of solutions of fuzzy differential equations by Lyapunov's second method. By using scale equations and the comparison principle for Lyapunov-like functions, we give sufficient criteria for the stability and asymptotic stability of solutions of fuzzy differential equations.Вивчено стійкість розв'язків нечітких диференціальних рівнянь за допомогою другого методу Ляпунова. За допомогою масштабних рівнянь та принципу порівняння для рівнянь типу Ляпунова встановлено достатні умови стабільності та асимптотичної стабільності розв'язків нечітких диференціальних рівнянь

Stability of Solutions of Fuzzy Differential Equations

In this paper, We study the stability of solutions of fuzzy differential equations by Lyapunov's second method. By using scale equations and comparison principle for Lyapunov - like functions, we give some sufficient criterias for the stability and asymptotic stability of solutions of fuzzy differential equations.Comment: 10 pages, 5 Theorems, interesting result in Exponential Stabilit

Study to process abnormal data for GNSS monitoring system of a long-span cable-stayed bridge in Vietnam

Global Positioning System (GPS) or currently upgraded to Global Navigation Satellite System (GNSS) has been applied in many SHM systems of the super-structures, especially in the long-span bridges. A GNSS system has the ability in monitoring the global deformation of a long-span cable-stayed bridge at the millimeter level of accuracy in real-time. However, the GNSS monitoring dataset acquired from a SHM system includes various noise data such as abnormal data, missing data, and so on. This paper studies de-noising methods to detect and replace the abnormal data of a GPS monitoring dataset acquired from a real cable-stayed bridge in Vietnam. Firstly, a GPS monitoring dataset of an actual long-span cable-stayed bridge was acquired to study processing abnormal data. A scenario of abnormal data was created in a time-series GPS data, and then the Hampel identifier method was applied to detect and replace the abnormal data. The replacing data were then assessed for precision and reliability by using correlation analysis and RMSE criterion. Finally, a long-term GNSS monitoring dataset processed the abnormal data automatically. The results show, that abnormal data in GPS monitoring data can be detected and replaced with high accuracy and reliability

Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson\u27s blowflies model with delays

This paper addresses the global existence and global asymptotic behaviour of positive solutions to a non-autonomous Nicholson\u27s blowflies model with delays. By using a novel approach, sufficient conditions are derived for the existence and global exponential convergence of positive solutions of the model without any restriction on uniform positiveness of the per capita dead rate. Numerical examples are provided to illustrate the effectiveness of the obtained results