Exponential and weak stabilization for distributed bilinear systems with time delay via bounded feedback control

2019 ◽  
Author(s):  
Azzeddine Tsouli ◽  
Atmane El Houch
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
Bilinear Systems ◽  
Distributed Bilinear Systems ◽  
Bounded Feedback

scholarly journals Feedback stabilization of non-homogeneous bilinear systems with a finite time delay

2021 ◽  
Author(s):  
Zakaria Hamidi ◽  
Rachid El Ayadi ◽  
Mohamed Ouzahra
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
Finite Time ◽  
Decomposition Method ◽  
Strong Stability ◽  
Bilinear Systems ◽  
Feedback Stabilization ◽  
Decay Estimates ◽  
Bounded Feedback ◽  
Stability Of The Solution

This paper investigates the feedback stabilization of non-homogeneous delayed bilinear systems, evolving in Hilbert state space. More precisely, under observability like assumption, we prove the exponential and strong stability of the solution by using a bounded feedback control. The partial stabilization is discussed as well. The proof of the main results is based on the decomposition method. The decay estimates of the corresponding solution are obtained. Finally, some examples are presented.

Characterization of equilibrium sets for bilinear systems with feedback control

Automatica ◽  
1983 ◽  
Vol 19 (2) ◽  
pp. 183-189 ◽  
Author(s):  
A. Benallou ◽  
D.A. Mellichamp ◽  
D.E. Seborg
Keyword(s):  
Feedback Control ◽  
Bilinear Systems
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