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This paper proposes a computationally efficient framework, based on interval analysis, for rigorous verification of nonlinear continuous-time dynamical systems with neural network controllers. Given a neural network, we use an existing…

系统与控制 · 电气工程与系统科学 2023-08-08 Saber Jafarpour , Akash Harapanahalli , Samuel Coogan

There has been an increasing interest in using neural networks in closed-loop control systems to improve performance and reduce computational costs for on-line implementation. However, providing safety and stability guarantees for these…

系统与控制 · 电气工程与系统科学 2020-04-20 Haimin Hu , Mahyar Fazlyab , Manfred Morari , George J. Pappas

Neural Networks (NNs) can provide major empirical performance improvements for closed-loop systems, but they also introduce challenges in formally analyzing those systems' safety properties. In particular, this work focuses on estimating…

系统与控制 · 电气工程与系统科学 2022-02-03 Michael Everett , Golnaz Habibi , Chuangchuang Sun , Jonathan P. How

Neural Networks (NNs) can provide major empirical performance improvements for robotic systems, but they also introduce challenges in formally analyzing those systems' safety properties. In particular, this work focuses on estimating the…

系统与控制 · 电气工程与系统科学 2021-05-26 Michael Everett , Golnaz Habibi , Jonathan P. How

Control Barrier Functions (CBFs) have been widely utilized in the design of optimization-based controllers and filters for dynamical systems to ensure forward invariance of a given set of safe states. While CBF-based controllers offer…

系统与控制 · 电气工程与系统科学 2025-04-14 Damola Ajeyemi , Saber Jafarpour , Emiliano Dall'Anese

We present a framework based on interval analysis and monotone systems theory to certify and search for forward invariant sets in nonlinear systems with neural network controllers. The framework (i) constructs localized first-order…

系统与控制 · 电气工程与系统科学 2024-01-23 Akash Harapanahalli , Saber Jafarpour , Samuel Coogan

The vulnerability of artificial intelligence (AI) and machine learning (ML) against adversarial disturbances and attacks significantly restricts their applicability in safety-critical systems including cyber-physical systems (CPS) equipped…

系统与控制 · 电气工程与系统科学 2020-04-28 Weiming Xiang , Hoang-Dung Tran , Xiaodong Yang , Taylor T. Johnson

As dynamical systems equipped with neural network controllers (neural feedback systems) become increasingly prevalent, it is critical to develop methods to ensure their safe operation. Verifying safety requires extending control theoretic…

系统与控制 · 电气工程与系统科学 2026-04-15 I. Samuel Akinwande , Chelsea Sidrane , Mykel J. Kochenderfer , Clark Barrett

In recent years, the integration of prediction and planning through neural networks has received substantial attention. Despite extensive studies on it, there is a noticeable gap in understanding the operation of such models within a…

机器人学 · 计算机科学 2024-07-09 Jiayu Guo , Mingyue Feng , Pengfei Zhu , Chengjun Li , Jian Pu

The increasing prevalence of neural networks (NNs) in safety-critical applications calls for methods to certify their behavior and guarantee safety. This paper presents a backward reachability approach for safety verification of neural…

系统与控制 · 电气工程与系统科学 2022-11-22 Nicholas Rober , Michael Everett , Jonathan P. How

Efficiently handling time-triggered and possibly nondeterministic switches for hybrid systems reachability is a challenging task. In this paper we present an approach based on conservative set-based enclosure of the dynamics that can handle…

系统与控制 · 电气工程与系统科学 2022-07-07 Marcelo Forets , Daniel Freire , Christian Schilling

Neural networks (NN) have been successfully applied to approximate various types of complex control laws, resulting in low-complexity NN-based controllers that are fast to evaluate. However, when approximating control laws using NN,…

系统与控制 · 电气工程与系统科学 2025-04-16 Dieter Teichrib , Moritz Schulze Darup

In this letter, we explore the communication-control co-design of discrete-time stochastic linear systems through reinforcement learning. Specifically, we examine a closed-loop system involving two sequential decision-makers: a scheduler…

最优化与控制 · 数学 2025-04-15 Shubham Aggarwal , Dipankar Maity , Tamer Başar

This paper presents a new reachability analysis approach to compute interval over-approximations of the output set of feedforward neural networks with input uncertainty. We adapt to neural networks an existing mixed-monotonicity method for…

系统与控制 · 电气工程与系统科学 2022-06-24 Pierre-Jean Meyer

In this work, we present a numerical optimal control framework for reachable set computation using \emph{normotopes}, a new set representation as a norm ball with a shaping matrix. In reachable set computations, we expect to continuously…

最优化与控制 · 数学 2025-09-30 Akash Harapanahalli , Samuel Coogan

We use interval reachability analysis to obtain robustness guarantees for implicit neural networks (INNs). INNs are a class of implicit learning models that use implicit equations as layers and have been shown to exhibit several notable…

机器学习 · 计算机科学 2022-04-04 Alexander Davydov , Saber Jafarpour , Matthew Abate , Francesco Bullo , Samuel Coogan

In this paper, we present a contraction-guided adaptive partitioning algorithm for improving interval-valued robust reachable set estimates in a nonlinear feedback loop with a neural network controller and disturbances. Based on an estimate…

系统与控制 · 电气工程与系统科学 2024-01-23 Akash Harapanahalli , Saber Jafarpour , Samuel Coogan

This paper develops a dynamical framework for adaptive coordination in systems of interacting agents referred to here as Feedback-Coupled Memory Systems (FCMS). Instead of framing coordination as equilibrium optimization or agent-centric…

多智能体系统 · 计算机科学 2026-03-31 Stefano Grassi

Feedback optimization is a control paradigm that enables physical systems to autonomously reach efficient operating points. Its central idea is to interconnect optimization iterations in closed-loop with the physical plant. Since iterative…

最优化与控制 · 数学 2024-07-16 Zhiyu He , Saverio Bolognani , Jianping He , Florian Dörfler , Xinping Guan

Many intelligent systems currently interact with others using at least one of fixed communication inputs or preset responses, resulting in rigid interaction experiences and extensive efforts developing a variety of scenarios for the system.…

人工智能 · 计算机科学 2019-09-17 Richard G. Freedman , Yi Ren Fung , Roman Ganchin , Shlomo Zilberstein
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