Stability analysis and feedback design of a direct current–direct current power converter by vector Lyapunov function

2021 ◽  
Author(s):  
Atieh Eskandari ◽  
Ghosheh Abed Hodtani
Keyword(s):  
Stability Analysis ◽  
Lyapunov Function ◽  
Direct Current ◽  
Power Converter ◽  
Feedback Design ◽  
Vector Lyapunov Function

Stability Analysis of Stochastic Interconnected Systems by Vector Lyapunov Function Method

2015 ◽  
Vol 17 (5) ◽  
pp. 1789-1797 ◽  
Author(s):  
Jizhong Shi ◽  
Jiye Zhang ◽  
Xiaohui Xu ◽  
Xuecai Yu
Keyword(s):  
Stability Analysis ◽  
Lyapunov Function ◽  
Function Method ◽  
Interconnected Systems ◽  
Vector Lyapunov Function ◽  
Lyapunov Function Method

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.

Swarm Stability Analysis of Nonlinear Dynamical Multi-Agent Systems via Relative Lyapunov Function

2013 ◽  
Vol 39 (3) ◽  
pp. 2427-2434 ◽  
Author(s):  
Ning Cai ◽  
Jun-Wei Cao ◽  
Hai-Ying Ma ◽  
Cai-Xia Wang
Keyword(s):  
Stability Analysis ◽  
Lyapunov Function ◽  
Multi Agent Systems ◽  
Nonlinear Dynamical ◽  
Agent Systems ◽  
Multi Agent
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