Stability Analysis Using Quadratic Constraints for Systems With Neural Network Controllers
IEEE Transactions on Automatic Control(2022)
摘要
A method is presented to analyze the stability of feedback systems with neural network controllers. Two stability theorems are given to prove asymptotic stability and to compute an ellipsoidal innerapproximation to the region of attraction (ROA). The first theorem addresses linear time-invariant systems, and merges Lyapunov theory with local (sector) quadratic constraints to bound the nonlinear ac...
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关键词
Artificial neural networks,Stability analysis,Asymptotic stability,Vehicle dynamics,Linear systems,Perturbation methods,Numerical stability
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