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In this paper, we propose a novel framework for approximating the explicit MPC policy for linear parameter-varying systems using supervised learning. Our learning scheme guarantees feasibility and near-optimality of the approximated MPC…

Systems and Control · Electrical Eng. & Systems 2019-12-11 Xiaojing Zhang , Monimoy Bujarbaruah , Francesco Borrelli

Many problems of industrial interest are NP-complete, and quickly exhaust resources of computational devices with increasing input sizes. Quantum annealers (QA) are physical devices that aim at this class of problems by exploiting quantum…

This paper presents a two-stage framework for constrained near-optimal feedback control of input-affine nonlinear systems. An approximate value function for the unconstrained control problem is computed offline by solving the…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Milad Alipour Shahraki , Laurent Lessard

Approximate computing is being considered as a promising design paradigm to overcome the energy and performance challenges in computationally demanding applications. If the case where the accuracy can be configured, the quality level versus…

Machine Learning · Computer Science 2019-01-07 Shayan Tabatabaei Nikkhah , Mehdi Kamal , Ali Afzali-Kusha , Massoud Pedram

Deploying neural networks on edge devices entails a careful balance between the energy required for inference and the accuracy of the resulting classification. One technique for navigating this tradeoff is approximate computing: the process…

Machine Learning · Computer Science 2025-09-18 Morteza Rezaalipour , Francesco Costa , Marco Biasion , Rodrigo Otoni , George A. Constantinides , Laura Pozzi

In this letter, an accelerated quadratic programming (QP) algorithm is proposed based on the proximal gradient method. The algorithm can achieve convergence rate $O(1/p^{\alpha})$, where $p$ is the iteration number and $\alpha$ is the given…

Optimization and Control · Mathematics 2022-01-25 Jia Wang , Ying Yang

We propose a decision-theoretic framework for computational complexity, complementary to classical theory: moving from syntactic exactness (Turing / Shannon) to semantic simulability (Le Cam). While classical theory classifies problems by…

Statistics Theory · Mathematics 2026-01-01 Deniz Akdemir

A supervised learning framework is proposed to approximate a model predictive controller (MPC) with reduced computational complexity and guarantees on stability and constraint satisfaction. The framework can be used for a wide class of…

Systems and Control · Computer Science 2018-06-13 Michael Hertneck , Johannes Köhler , Sebastian Trimpe , Frank Allgöwer

Given the stringent requirements of energy efficiency for Internet-of-Things edge devices, approximate multipliers, as a basic component of many processors and accelerators, have been constantly proposed and studied for decades, especially…

Hardware Architecture · Computer Science 2023-06-30 Ying Wu , Chuangtao Chen , Weihua Xiao , Xuan Wang , Chenyi Wen , Jie Han , Xunzhao Yin , Weikang Qian , Cheng Zhuo

Adaptive dynamic programming is a collective term for a variety of approaches to infinite-horizon optimal control. Common to all approaches is approximation of the infinite-horizon cost function based on dynamic programming philosophy.…

Optimization and Control · Mathematics 2020-07-09 Pavel Osinenko , Thomas Göhrt , Grigory Devadze , Stefan Streif

Task-based programming models are emerging as a promising alternative to make the most of multi-/many-core systems. These programming models rely on runtime systems, and their goal is to improve application performance by properly…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-24 Antoni Navarro , Arthur F. Lorenzon , Eduard Ayguadé , Vicenç Beltran

We study a Q learning algorithm for continuous time stochastic control problems. The proposed algorithm uses the sampled state process by discretizing the state and control action spaces under piece-wise constant control processes. We show…

Optimization and Control · Mathematics 2023-03-10 Erhan Bayraktar , Ali Devran Kara

We give the easily recognizable name "cinnamon" and "cinnamon programming" to a new computation model intended to form a theoretical foundation for Control Network Programming (CNP). CNP has established itself as a programming paradigm…

Programming Languages · Computer Science 2017-10-18 Kostadin Kratchanov

Ensuring constraint satisfaction is a key requirement for safety-critical systems, which include most robotic platforms. For example, constraints can be used for modeling joint position/velocity/torque limits and collision avoidance.…

Robotics · Computer Science 2025-09-04 Elias Fontanari , Gianni Lunardi , Matteo Saveriano , Andrea Del Prete

For linear infinite systems the approximate controllability problem by control constraints is considered. Controllability conditions represented via system parameters are obtained. Partial differential control systems and control systems…

solv-int · Physics 2008-02-03 B. Shklyar

Hamilton-Jacobi (HJ) reachability analysis has been developed over the past decades into a widely-applicable tool for determining goal satisfaction and safety verification in nonlinear systems. While HJ reachability can be formulated very…

Robotics · Computer Science 2020-03-13 Vicenc Rubies-Royo , David Fridovich-Keil , Sylvia Herbert , Claire J. Tomlin

Autonomous vehicle software is typically structured as a modular pipeline of individual components (e.g., perception, prediction, and planning) to help separate concerns into interpretable sub-tasks. Even when end-to-end training is…

Machine Learning · Computer Science 2022-04-29 Rowan McAllister , Blake Wulfe , Jean Mercat , Logan Ellis , Sergey Levine , Adrien Gaidon

We introduce a data-based approach to estimating key quantities which arise in the study of nonlinear control systems and random nonlinear dynamical systems. Our approach hinges on the observation that much of the existing linear theory may…

Optimization and Control · Mathematics 2016-04-04 Jake Bouvrie , Boumediene Hamzi

The inherent approximation ability of neural networks plays an essential role in adaptive neural control, where the prerequisite for existence of the compact set is crucial in the control designs. Instead of using practical system state, in…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Mingxuan Sun , Shengxiang Zou

The maximization of reach-avoid probabilities for stochastic systems is a central topic in the control literature. Yet, the available methods are either restricted to low-dimensional systems or suffer from conservative approximations. To…

Optimization and Control · Mathematics 2026-01-26 Niklas Schmid , Jaeyoun Choi , Oswin So , Chuchu Fan