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Global stability of positive discrete-time time-varying nonlinear feedback systems

100%

Kaczorek T. , Sajewski Ł.

Journal of Automation, Electronics and Electrical Engineering

2021

tom Vol. 3, No. 1

17--20

The global stability of positive discrete-time time-varying nonlinear systems with time-varying scalar feedbacks is investigated. Sufficient conditions for the asymptotic stability of discrete-time positive time-varying linear systems are given. The new conditions are applied to discrete-time positive time-varying nonlinear systems with time-varying feedbacks. Sufficient conditions are established for the global stability of the discrete-time positive time-varying nonlinear systems with feedbacks.

A class of positive and stable time-varying electrical circuits

100%

Kaczorek T.

2015

tom R. 91, nr 5

121-124

The positivity and stability of a class of time-varying continuous-time linear systems and electrical circuits are addressed. Sufficient conditions for the positivity and asymptotic stability of the systems are established. It is shown that there exists a large class of positive and asymptotically stable electrical circuits with time-varying parameters. Examples of positive electrical circuits are presented.

W pracy rozpatrywana jest dodatniość I stabilność asymptotyczna pewnej klasy obwodów elektrycznych o zmiennych w czasie parametrach. Podano warunki dostateczne dodatniości i stabilności asymptotycznej układów i obwodów elektrycznych. Pokazano, że istnieje obszerna klasa dodatnich i stabilnych asymptotycznie obwodów elektrycznych o zmiennych w czasie parametrach. Rozważania zilustrowano przykładami obwodów elektrycznych.

Positive and stable time-varying continous-time linear systems and electrical circuits

100%

Kaczorek T.

Poznan University of Technology Academic Journals. Electrical Engineering

2015

tom No. 81

11--19

The positivity and stability of a class of time-varying continuous-time linear systems and electrical circuits are addressed. Sufficient conditions for the positivity and asymptotic stability of the system are established. It is shown that there exists a large class of positive and asymptotically stable electrical circuits with time-varying parameters. Examples of positive electrical circuits are presented.

Positivity and stability of time-varying fractional discrete-time linear systems

100%

Kaczorek T. , Borawski K.

2015

tom Vol. 61, No. 3

84--87

Necessary and sufficient conditions for the positivity of time-varying fractional discrete-time linear systems are established. The problem of asymptotic stability of the positive time-varying fractional discrete-time linear systems is analyzed and sufficient conditions are given. Considerations are illustrated by numerical examples.

Positivity and stability of time-varying linear electrical circuits

84%

Kaczorek T.

Logistyka

2015

tom nr 3

2060--2071, CD 1

The positivity and asymptotic stability of time-varying linear electrical circuits are addressed. Necessary and sufficient conditions for the positivity of the time-varying linear systems and electrical circuits are established. Using the Lyapunov method the asymptotic stability of a large class of positive electrical circuits is shown. Examples of positive and asymptotically stable electrical circuits are presented.

Praca poświęcona jest badaniu dodatniości i stabilności asymptotycznej liniowych układów i obwodów elektrycznych o zmiennych w czasie parametrach. Podano warunki konieczne i wystarczające dodatniości liniowych układów i obwodów elektrycznych zmiennych w czasie parametrach. Pokazano, że istnieje obszerna klasa liniowych obwodów elektrycznych dodatnich o zmiennych w czasie parametrach. Podano również warunki dostateczne oraz proste kryteria badania stabilności tej klasy liniowych układów i obwodów elektrycznych. Rozważania zilustrowano przykładami dodatnich stabilnych asymptotycznie liniowych obwodów elektrycznych o zmiennych w czasie parametrach.

Influence of chloride ion corrosion on the performance of reinforced concrete beam bridge in offshore environment

67%

Gao Y. H.

Archives of Civil Engineering

2020

tom Vol. 66, nr 2

253--265

Chloride ion erosion in offshore environment may damage the mechanical properties of beam bridges. In this study, the reinforced concrete specimen was designed, accelerated erosion experiments were carried out to simulate the coastal corrosion environment, and the corrosion rate, nominal strength and equivalent strength of steel bars, concrete cracks and reliability of beam bridges were calculated to understand the time-varying mechanical properties of beam bridges. The results showed that the nominal and equivalent strength of reinforcing bars decreased with the increase of corrosion rate of reinforcing bars. The change of yield strength was greater than that of equivalent strength. The change of crack width of concrete showed a slow-fast-slow trend, and the reliability of beam bridges decreased significantly in about 50 years. The experimental results show that chloride ion corrosion can significantly damage the mechanical properties of the beam bridge and affect the time-varying reliability of the beam bridge. Therefore, it is necessary to carry out timely maintenance and inspection and take effective methods to control steel corrosion to ensure the safety of the use of the beam bridge.