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This work introduces a controller synthesis method via system level synthesis for nonlinear systems characterized by polynomial dynamics. The resulting framework yields finite impulse response, time-invariant, closed-loop transfer functions…

Optimization and Control · Mathematics 2022-09-26 Lauren Conger , Jing Shuang Li , Eric Mazumdar , Steven L. Brunton

In this work, we first propose a parallel batch switching algorithm called Small-Batch Queue-Proportional Sampling (SB-QPS). Compared to other batch switching algorithms, SB-QPS significantly reduces the batch size without sacrificing the…

Networking and Internet Architecture · Computer Science 2020-10-20 Jingfan Meng , Long Gong , Jun , Xu

We describe a methodology for designing efficient parallel and distributed scientific software. This methodology utilizes sequences of mechanizable algebra--based optimizing transformations. In this study, we apply our methodology to the…

Software Engineering · Computer Science 2008-11-18 Harry B. Hunt , Lenore R. Mullin , Daniel J. Rosenkrantz , James E. Raynolds

We introduce a novel approach to automatically synthesize a mathematical representation of the control algorithms implemented in industrial cyber-physical systems (CPS), given the embedded system binary. The output model can be used by…

The $k$d-tree is one of the most widely used data structures to manage multi-dimensional data. Due to the ever-growing data volume, it is imperative to consider parallelism in $k$d-trees. However, we observed challenges in existing parallel…

Data Structures and Algorithms · Computer Science 2025-01-08 Ziyang Men , Zheqi Shen , Yan Gu , Yihan Sun

In this paper, we analyze the convergence as well as the rate of convergence of asynchronous distributed quadratic programming (QP) with dual decomposition technique. In general, distributed optimization requires synchronization of data at…

Optimization and Control · Mathematics 2015-06-22 Kooktae Lee , Raktim Bhattacharya

We propose a new parallel-in-time algorithm for solving optimal control problems constrained by discretized partial differential equations. Our approach, which is based on a deeper understanding of ParaExp, considers an overlapping…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-06 Felix Kwok , Djahou N Tognon

Probabilistic models such as Gaussian processes (GPs) are powerful tools to learn unknown dynamical systems from data for subsequent use in control design. While learning-based control has the potential to yield superior performance in…

Systems and Control · Electrical Eng. & Systems 2022-09-22 Alexander von Rohr , Matthias Neumann-Brosig , Sebastian Trimpe

New trends towards multiple core processors imply using standard programming models to develop efficient, reliable and portable programs for distributed memory multiprocessors and workstation PC clusters. Message passing using MPI is widely…

Programming Languages · Computer Science 2013-11-05 Alaa I. Elnashar

This paper is concerned with developing a software tool, called IMPaCT, for the parallelized verification and controller synthesis of large-scale stochastic systems using interval Markov chains (IMCs) and interval Markov decision processes…

Systems and Control · Electrical Eng. & Systems 2024-02-22 Ben Wooding , Abolfazl Lavaei

Presented is an algorithm to synthesize the optimal infinite-horizon LQR feedback controller for continuous-time systems. The algorithm does not require knowledge of the system dynamics but instead uses only a finite-length sampling of…

Optimization and Control · Mathematics 2026-02-16 Sean Bowerfind , Matthew R. Kirchner , Gary Hewer

We present a new method for the automated synthesis of digital controllers with formal safety guarantees for systems with nonlinear dynamics, noisy output measurements, and stochastic disturbances. Our method derives digital controllers…

Systems and Control · Electrical Eng. & Systems 2019-08-21 Fedor Shmarov , Sadegh Soudjani , Nicola Paoletti , Ezio Bartocci , Shan Lin , Scott A. Smolka , Paolo Zuliani

We introduce Knowledge-Driven Program Synthesis (KDPS) as a variant of the program synthesis task that requires the agent to solve a sequence of program synthesis problems. In KDPS, the agent should use knowledge from the earlier problems…

Neural and Evolutionary Computing · Computer Science 2022-09-09 Yifan He , Claus Aranha , Tetsuya Sakurai

This work newly establishes the feasibility and practical value of a sum of squares (SOS)-based stability verification procedure for applied control problems utilizing neural-network-based controllers (NNCs). It successfully verifies…

Systems and Control · Electrical Eng. & Systems 2025-08-22 Alvaro Detailleur , Dalim Wahby , Guillaume Ducard , Christopher Onder

The advancement of scalable quantum information processing relies on the accurate and parallel manipulation of a vast number of qubits, potentially reaching into the millions. Superconducting qubits, traditionally controlled through…

Quantum Physics · Physics 2023-12-13 Pan Shi , Jiahao Yuan , Fei Yan , Haifeng Yu

This paper studies formal synthesis of controllers for continuous-space systems with unknown dynamics to satisfy requirements expressed as linear temporal logic formulas. Formal abstraction-based synthesis schemes rely on a precise…

Systems and Control · Electrical Eng. & Systems 2022-06-17 Milad Kazemi , Rupak Majumdar , Mahmoud Salamati , Sadegh Soudjani , Ben Wooding

Composing systems is a fundamental concept in modern control systems, yet it remains challenging to formally analyze how controllers designed for individual subsystems can differ from controllers designed for the composition of those…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Baike She , Tyler Hanks , James Fairbanks , Matthew Hale

We apply numerical optimization and linear algebra algorithms for classical computers to the problem of automatically synthesizing algorithms for quantum computers. Using our framework, we apply several common techniques from these…

Numerical Analysis · Mathematics 2025-09-16 Yuxin Huang , Benjamin E. Grossman-Ponemon , David A. B. Hyde

The quantum machine learning model is emerging as a new model that merges quantum computing and machine learning. Simulating very deep quantum machine learning models requires a lot of resources, increasing exponentially based on the number…

Quantum Physics · Physics 2025-02-18 Vu Tuan Hai , Le Vu Trung Duong , Pham Hoai Luan , Yasuhiko Nakashima

This paper proposes a parallel-in-time method for computing continuous-time maximum-a-posteriori (MAP) trajectory estimates of the states of partially observed stochastic differential equations (SDEs), with the goal of improving…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-16 Hassan Razavi , Ángel F. García-Fernández , Simo Särkkä