reachability set
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Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Ang Li ◽  
Chen Zhang ◽  
Baoyu Zheng ◽  
Lei Li

The system reachability set is calculated by covering all possible behaviours of the system through a finite number of simulation steps to ensure that the system trajectory stays within a set safety region. In this paper, the theory of the game method is applied to the design of the controller, a very small controller is designed, and good control results are obtained by simulation. The system gradually shows a divergent trend and cannot achieve stable control. A multihop channel reservation Medium Access Control (MAC) protocol based on a parallel mechanism is proposed. The multihop channel reservation mechanism is proposed based on periodic node sleep, and the node uses the reservation frame to make the reservation of the channel and transmits the data according to the reservation information; the parallel mechanism is used to make the reservation information and data transmission simultaneously.


2020 ◽  
Vol 10 (2) ◽  
pp. 5487-5491
Author(s):  
H. E. Amara ◽  
S. Latreche ◽  
M. A. Sid ◽  
M. Khemliche

Sliding mode observer and event triggering mechanism co-design is the subject of this paper. The synthesis of a sliding mode observer under any event triggering mechanism is given, where the proposed observer can be viewed as a special structure of the Kalman filter. Then, the event triggering condition is updated according to the coverage index value computed with the help of the reachability set representation. A numerical example illustrates the effectiveness of the proposed approach.


Author(s):  
Gennady Sidorenko

On the one hand, nonlinear discrete systems are natural generalization of linear discrete systems. On the other hand, various economic and, especially, technical systems have, basically, a nonlinear nature. Therefore, research of mathematical models of these systems is a relevant issue for implementing various procedures of systems analysis and decision making. Clusters of trajectories of the considered systems can be generated both by the parameters interpreted as control circuits, and by the parameters interpreted as perturbations. Quite general results of reachability sets estimation of nonlinear discrete systems, including a number of well-known achievements in this field as a consequence, are offered. As specification of these approaches, quadratic estimators of the reachability set of nonlinear discrete systems are received.


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