Dr. Nguyen Huu Sau with an international publication on mathematics

"State bounding for positive singular discrete- time systems with time-varying delay and bounded disturbances" is a study which was implemented by Dr. Nguyen Huu Sau - Lecturer of the Faculty of Fundamental Sciences, Hanoi University of Industry in collaboration with Dr. Mai Viet Thuan - Thai Nguyen University. The study was published in the journal IET Control Theory & Applications in October 2019.

Dr. Nguyen Huu Sau with an international publication on mathematicsDr. Nguyen Huu Sau - Lecturer of the Faculty of Fundamental Sciences, Hanoi University of Industry

This study deals with the problem of state bounding for positive singular discrete-time systems with time-varying delay and bounded disturbances. First, the authors derive some new conditions for the existence of component wise bounds of the state vector of the systems without disturbances. Then, in the case of systems with bounded disturbances, they obtain a sufficient condition for the existence of component wise ultimate bounds. Since the conditions are given in terms of the spectral radius of the system matrices, they can check them easily and compute directly the smallest component wise ultimate bound. In addition, the problem of state bounding for positive time-varying singular systems is also investigated in this study. Finally, numerical examples are provided to illustrate the effectiveness and advantages of their results.

Link:https://ieeexplore.ieee.org/document/8877536

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