scholarly journals Some Differential Inequalities on Time Scales and Their Applications to Feedback Control Systems

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Yonghong Fan ◽  
Yangyang Yu ◽  
Linlin Wang
Keyword(s):  
Feedback Control ◽  
Control Systems ◽  
Time Scales ◽  
New Method ◽  
Differential Inequalities ◽  
Boundedness Of Solutions ◽  
Ultimate Boundedness ◽  
Uniform Ultimate Boundedness ◽  
Feedback Control Systems

This paper deals with feedback control systems on time scales. Firstly, we generalize the semicycle concept to time scales and then establish some differential inequalities on time scales. Secondly, as applications of these inequalities, we study the uniform ultimate boundedness of solutions of these systems. We give a new method to investigate the permanence of ecosystem on time scales. And some known results have been generalized. Finally, an example is given to support the result.

Experimental Investigation of a Time Scales-Based Stability Criterion Over Finite Time Horizons

2015 ◽  
Author(s):  
Matthew Mosley ◽  
Ian Gravagne ◽  
Dylan Poulsen ◽  
John Davis
Keyword(s):  
Feedback Control ◽  
Exponential Stability ◽  
Control Systems ◽  
Time Scales ◽  
Stability Criterion ◽  
Finite Time ◽  
Time Horizon ◽  
Large Area ◽  
Feedback Control Systems ◽  
Finite Time Horizon

Feedback control systems that employ large area networks or other unpredictable or unreliable communications protocols between sensors, actuators, and controllers may experience nonuniform sampling characteristics. Previous work by Poulsen, et. al. gives a criterion for exponential stability of non-uniformly discretized feedback control systems, assuming sample periods drawn from a known statistical distribution. However, the given stability theorem assumes an infinite time horizon. This work therefore examines the exponential stability criterion experimentally, over a finite time horizon, on a 2nd-order servo mechanism. This paper is the first to experimentally investigate the validity of this time scales stability criterion.

scholarly journals Minimally Complex Nucleic Acid Feedback Control Systems for First Experimental Implementations

2020 ◽  
Vol 53 (2) ◽  
pp. 16745-16752
Author(s):  
Nuno M.G. Paulino ◽  
Mathias Foo ◽  
Tom F.A. de Greef ◽  
Jongmin Kim ◽  
Declan G. Bates
Keyword(s):  
Nucleic Acid ◽  
Feedback Control ◽  
Control Systems ◽  
Feedback Control Systems
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