5 papers · 1 filter
Data-Driven Stability and Performance Analysis of Lurye Systems
Sahel Vahedi Noori, Peter Seiler
This paper develops data-driven conditions for certifying internal stability and induced- performance of discrete-time Lurye systems. The Lurye system is an interconnection…
Integral Quadratic Constraints for Repeated ReLU
Sahel Vahedi Noori, Bin Hu, Geir Dullerud +1
This paper presents a new dynamic integral quadratic constraint (IQC) for the repeated Rectified Linear Unit (ReLU). These dynamic IQCs can be used to analyze stability and induced…
Discrete-Time Stability Analysis of ReLU Feedback Systems via Integral Quadratic Constraints
Sahel Vahedi Noori, Bin Hu, Geir Dullerud +1
This paper analyzes internal stability of a discrete-time feedback system with a ReLU nonlinearity. This feedback system is motivated by recurrent neural networks. We first review…
A Data-Ensemble-Based Approach for Sample-Efficient LQ Control of Linear Time-Varying Systems
Sahel Vahedi Noori, Maryam Babazadeh
This paper presents a sample-efficient, data-driven control framework for finite-horizon linear quadratic (LQ) control of linear time-varying (LTV) systems. In contrast to the time…
Stability and Performance Analysis of Discrete-Time ReLU Recurrent Neural Networks
Sahel Vahedi Noori, Bin Hu, Geir Dullerud +1
This paper presents sufficient conditions for the stability and -gain performance of recurrent neural networks (RNNs) with ReLU activation functions. These conditions are d…