4 papers
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…
A Complete Set of Quadratic Constraints for Repeated ReLU and Generalizations
Sahel Vahedi Noori, Bin Hu, Geir Dullerud +1
This paper derives a complete set of quadratic constraints (QCs) for the repeated ReLU. The complete set of QCs is described by a collection of matrix copositivity conditions. We a…