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math.OC2022
Stability Analysis of Recurrent Neural Networks by IQC with Copositive Mutipliers
Yoshio Ebihara, Hayato Waki, Victor Magron +3
This paper is concerned with the stability analysis of the recurrent neural networks (RNNs) by means of the integral quadratic constraint (IQC) framework. The rectified linear unit…
math.OC2020★ 8 cited
Induced Norm Analysis of Discrete-Time LTI Systems for Nonnegative Input Signals and Its Application to Stability Analysis of Recurrent Neural Networks
Yoshio Ebihara, Hayato Waki, Victor Magron +3
In this paper, we focus on the "positive" induced norm of discrete-time linear time-invariant systems where the input signals are restricted to be nonnegative. To cope with t…