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In this note, we investigate the problem of stabilization for second order switched systems by means of output feedback control and switching design. Under mild conditions, we design the output feedback and switching signal to exponentially stabilize the switched systems. Meanwhile, we optimize the switching signal to achieve nonovershooting of the output.
This paper describes a mathematical model for tuberculosis (TB) and discusses its dynamic behavior. The model is novel in that it combines multi-drug resistant TB (MDR-TB) with undetected TB cases. The basic reproduction number, R0, is calculated. The result shows that the disease-free equilibrium is globally asymptotically stable if R0 ≤ 1, and is unstable if R0 > 1. When R0 > 1, there also...
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