Ljapunov-Bohl-Exponent und Greensche Funktion für eine Masse von Integro-Differentialgleichungen

1995 ◽  
Vol 14 (4) ◽  
pp. 881-898 ◽  
Author(s):  
E.A. Ermolova
Keyword(s):  
Bohl Exponent

On stability, Bohl exponent and Bohl–Perron theorem for implicit dynamic equations

2020 ◽  
pp. 1-13
Author(s):  
Do Duc Thuan ◽  
Khong Chi Nguyen ◽  
Nguyen Thu Ha ◽  
Pham Van Quoc
Keyword(s):  
Dynamic Equations ◽  
Bohl Exponent

scholarly journals On Assignment of the Upper Bohl Exponent for Linear Time-Invariant Control Systems in a Hilbert Space by State Feedback

Mathematics ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 992
Author(s):  
Vasilii Zaitsev ◽  
Marina Zhuravleva
Keyword(s):  
Hilbert Space ◽  
State Feedback ◽  
Linear Time ◽  
Bounded Operator ◽  
Loop System ◽  
State Feedback Control ◽  
Free System ◽  
Bohl Exponent ◽  
Linear State ◽  
Time Invariant

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.

On Assignment of the Upper Bohl Exponent for Linear Discrete-Time Systems in Infinite-Dimensional Spaces

2021 ◽  
Author(s):  
Evgenii Makarov ◽  
Michal Niezabitowski ◽  
Svetlana Popova ◽  
Vasilii Zaitsev ◽  
Marina Zhuravleva
Keyword(s):  
Discrete Time ◽  
Infinite Dimensional ◽  
Discrete Time Systems ◽  
Bohl Exponent ◽  
Time Systems
Sign in / Sign up

Export Citation Format

Share Document