This paper first proposes a distributed continuous-time Newton-Raphson algorithm for heterogeneous linear multi-agent systems over unbalanced digraphs.Then this approach extends to cases where the local cost functions...This paper first proposes a distributed continuous-time Newton-Raphson algorithm for heterogeneous linear multi-agent systems over unbalanced digraphs.Then this approach extends to cases where the local cost functions and Hessian matrices are unknown.While local exponential stability of the inverse Hessian matrix estimator has been established for single-agent systems,this paper proves local exponential stability in multi-agent systems,ensuring the stability of the proposed distributed Newton-Raphson extremum seeking algorithm.A numerical example demonstrates the effectiveness of the proposed algorithms.展开更多
基金supported in part by the National Natural Science Foundation of China(NSFC)under Grant No.62373314in part by the Research Grants Council of the Hong Kong Special Administrative Region of China under Project City U/11207323in part by the NSFC-Excellent Young Scientists Fund(Hong Kong and Macao)under Grant No.62222318。
文摘This paper first proposes a distributed continuous-time Newton-Raphson algorithm for heterogeneous linear multi-agent systems over unbalanced digraphs.Then this approach extends to cases where the local cost functions and Hessian matrices are unknown.While local exponential stability of the inverse Hessian matrix estimator has been established for single-agent systems,this paper proves local exponential stability in multi-agent systems,ensuring the stability of the proposed distributed Newton-Raphson extremum seeking algorithm.A numerical example demonstrates the effectiveness of the proposed algorithms.
