bohl exponent
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2021 ◽  
Author(s):  
Evgenii Makarov ◽  
Michal Niezabitowski ◽  
Svetlana Popova ◽  
Vasilii Zaitsev ◽  
Marina Zhuravleva

Mathematics ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 992
Author(s):  
Vasilii Zaitsev ◽  
Marina Zhuravleva

We consider a linear continuous-time control system with time-invariant linear bounded operator coefficients in a Hilbert space. The controller in the system has the form of linear state feedback with a time-varying linear bounded gain operator function. We study the problem of arbitrary assignment for the upper Bohl exponent by state feedback control. We prove that if the open-loop system is exactly controllable then one can shift the upper Bohl exponent of the closed-loop system by any pregiven number with respect to the upper Bohl exponent of the free system. This implies arbitrary assignability of the upper Bohl exponent by linear state feedback. Finally, an illustrative example is presented.


Author(s):  
Do Duc Thuan ◽  
Khong Chi Nguyen ◽  
Nguyen Thu Ha ◽  
Pham Van Quoc

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