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20192021
most citedSafety Verification of Nonlinear Autonomous System via Occupation Measures

1 citations · 1 across the 3 of their papers we have counts for

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math.OC2020

Learning Lyapunov Functions for Hybrid Systems

Shaoru Chen, Mahyar Fazlyab, Manfred Morari +2

We propose a sampling-based approach to learn Lyapunov functions for a class of discrete-time autonomous hybrid systems that admit a mixed-integer representation. Such systems incl…

math.OC2020

Learning Lyapunov Functions for Piecewise Affine Systems with Neural Network Controllers

Shaoru Chen, Mahyar Fazlyab, Manfred Morari +2

We propose a learning-based method for Lyapunov stability analysis of piecewise affine dynamical systems in feedback with piecewise affine neural network controllers. The proposed…

math.OC2019

Robust Closed-loop Model Predictive Control via System Level Synthesis

Shaoru Chen, Han Wang, Manfred Morari +2

In this paper, we consider the robust closed-loop model predictive control (MPC) of a linear time-variant (LTV) system with norm bounded disturbances and LTV model uncertainty, whe…

math.OC2019

Robust Convergence Analysis of Three-Operator Splitting

Han Wang, Mahyar Fazlyab, Shaoru Chen +1

Operator splitting methods solve composite optimization problems by breaking them into smaller sub-problems that can be solved sequentially or in parallel. In this paper, we propos…

math.OC20191 cited

Safety Verification of Nonlinear Autonomous System via Occupation Measures

Ximing Chen, Shaoru Chen, Victor M. Preciado

In this paper, we introduce a flexible notion of safety verification for nonlinear autonomous systems by measuring how much time the system spends in given unsafe regions. We consi…