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The current article gives a new approach that is efficient for the design of a low-order H∞ controller over a finite time interval. The system under consideration is a linear discrete time system affected by norm bounded disturbances. The proposed method has the advantage that takes into account both robustness aspects and desired closed-loop characteristics, reducing the number of variables in Linear Matrix Inequalities (LMIs). Thus, reduced order H∞ controller parameters are given to guarantee a finite time H∞ bound (FTB-H∞) for a closed-loop system. The method of the finite time stability, that is proven in this paper by the Lyapunov theory, can be applied to a wide range of process models. Numerical examples demonstrating the effectiveness of the results developed are presented at the end of this paper.

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The outbreak of SARS-CoV-2 resulted in more than 11 000 000 infections and over 530 000 deaths. Coronavirus (S) spike glycoproteins promote entry into cells and are the main target of antibodies. We studied the effect of electron beams on the SARS CoV-2 glycoprotein and also on RNA using Monte Carlo simulation. We demonstrated that S-SARS CoV peak glycoproteins damaged by irradiation electrons corresponding to an energy loss of approximately 1.2 keV with a damage rate of the efficiency that can be as high as .