A Recurrent Neural Network for Solving Sylvester Equation With Time-Varying Coefficients  

Oleh:

Zhang, Yunong ; Jiang, Danchi ; Jun, Wang

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: IEEE Transactions on Neural Networks vol. 13 no. 5 (2002), page 1053-1063.
Topik: EQUATION; neural network; solving sylvester equation; time - varying coefficient

Ketersediaan

Perpustakaan Pusat (Semanggi) Nomor Panggil: II36.7A Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

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Isi artikel

Presents a recurrent neural network for solving the Sylvester equation with time - varying coefficient matrices. The recurrent neural network with implicit dynamics is deliberately developed in the way that its trajectory is guaranteed to converge exponentially to the time - varying solution of a given Sylvester equation. Theoretical results of convergence and sensitivity analysis are presented to show the desirable properties of the recurrent neural network. Simulation results of time - varying matrix inversion and online non linear output regulation via pole assignment for the ball and beam system and the inverted pendulum on a cart system are also included to demonstrate the effectiveness and performance of the proposed neural network.

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