2022
DOI: 10.1002/asjc.2789
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Robust stabilization for affine control systems in Banach spaces

Abstract: This paper is devoted to the investigation of feedback stabilization of affine control systems on real Banach spaces. Under an appropriate decomposition of the state space, we provide sufficient conditions for exponential stabilization of the system at hand. Furthermore, we show that the proposed feedback law remains a stabilizing control under some types of perturbations on the dynamic and the control operator. Finally, two illustrative examples are provided.

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“…In the equation, kș, kȦ, kq, and kd are positive error control gains. Therefore, the closed-loop control system ensures that the tracking errors of position, velocity, and current converge to zero, exhibiting global asymptotic stability [10].…”
Section: E E E E E E E E K E K E K E K Ementioning
confidence: 99%
“…In the equation, kș, kȦ, kq, and kd are positive error control gains. Therefore, the closed-loop control system ensures that the tracking errors of position, velocity, and current converge to zero, exhibiting global asymptotic stability [10].…”
Section: E E E E E E E E K E K E K E K Ementioning
confidence: 99%