A recurrent neural network for solving Sylvester equation with time-varying coefficients
Citations
466 citations
Cites methods from "A recurrent neural network for solv..."
...Moreover, the gradient-based method also requires much faster convergence in comparison with the time scale of time-varying matrices or imposes very stringent restrictions on design parameters [22]....
[...]
...Otherwise, the matrix could be singular....
[...]
268 citations
206 citations
197 citations
Additional excerpts
...In comparison with the numerical algorithms, RNNs have the potential hardware-implementation ability and the high-speed parallel-distributed processing property in largescale online applications [19]–[22]....
[...]
192 citations
Cites background from "A recurrent neural network for solv..."
...Interested readers are referred to [21], [32], and [36] for more about the neural architecture of ZNN....
[...]
References
7,013 citations
1,639 citations
"A recurrent neural network for solv..." refers background in this paper
...As shown in [16] and [17], the key condition for the solution of this problem is the existence of a zero-error manifold for the plant, which can be rephrased as the existence of sufficiently smooth functions and such that , and...
[...]
669 citations
Additional excerpts
...The motion equation is repeated below [19]...
[...]
202 citations
188 citations