Stability analysis of random access scheme by lyapunov function

1991 ◽  
Vol 74 (8) ◽  
pp. 51-60
Author(s):  
Xiangyi Wang ◽  
Yoshikuni Onozato ◽  
Hisato Hokanishi ◽  
Shoichi Noguchi
Keyword(s):  
Stability Analysis ◽  
Lyapunov Function ◽  
Random Access ◽  
Access Scheme

scholarly journals Iterative stability analysis for general polynomial control systems

2021 ◽  
Author(s):  
Bo Xiao ◽  
Hak-Keung Lam ◽  
Zhixiong Zhong
Keyword(s):  
Stability Analysis ◽  
Lyapunov Function ◽  
Control Systems ◽  
Polynomial System ◽  
Stability Conditions ◽  
General Polynomial ◽  
Main Challenge ◽  
Detailed Simulation ◽  
Feasible Solutions ◽  
The Stability

AbstractThe main challenge of the stability analysis for general polynomial control systems is that non-convex terms exist in the stability conditions, which hinders solving the stability conditions numerically. Most approaches in the literature impose constraints on the Lyapunov function candidates or the non-convex related terms to circumvent this problem. Motivated by this difficulty, in this paper, we confront the non-convex problem directly and present an iterative stability analysis to address the long-standing problem in general polynomial control systems. Different from the existing methods, no constraints are imposed on the polynomial Lyapunov function candidates. Therefore, the limitations on the Lyapunov function candidate and non-convex terms are eliminated from the proposed analysis, which makes the proposed method more general than the state-of-the-art. In the proposed approach, the stability for the general polynomial model is analyzed and the original non-convex stability conditions are developed. To solve the non-convex stability conditions through the sum-of-squares programming, the iterative stability analysis is presented. The feasible solutions are verified by the original non-convex stability conditions to guarantee the asymptotic stability of the general polynomial system. The detailed simulation example is provided to verify the effectiveness of the proposed approach. The simulation results show that the proposed approach is more capable to find feasible solutions for the general polynomial control systems when compared with the existing ones.

scholarly journals Polarized MIMO Slotted ALOHA Random Access Scheme in Satellite Network

IEEE Access ◽  
2017 ◽  
Vol 5 ◽  
pp. 26354-26363 ◽  
Author(s):  
Jialing Bai ◽  
Guangliang Ren
Keyword(s):  
Random Access ◽  
Satellite Network ◽  
Slotted Aloha ◽  
Access Scheme

A Centralized Preamble Detection-Based Random Access Scheme for LTE CoMP Transmission

2016 ◽  
Vol 65 (7) ◽  
pp. 5200-5211 ◽  
Author(s):  
Qiwei Wang ◽  
Guangliang Ren ◽  
Jueying Wu
Keyword(s):  
Random Access ◽  
Access Scheme
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