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Many engineering problems involve learning hidden dynamics from indirect observations, where the physical processes are described by systems of partial differential equations (PDE). Gradient-based optimization methods are considered…

Numerical Analysis · Mathematics 2019-12-17 Kailai Xu , Dongzhuo Li , Eric Darve , Jerry M. Harris

In this paper, we will consider a class of continuous-time stochastic control systems with both unknown nonlinear structure and unknown disturbances, and investigate the capability of the classical proportional-integral-derivative(PID)…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Cheng Zhao , Shuo Yuan

The Intelligent Driver Model is studied and several drawbacks with respect to driving simulators are defined. We present two modifications of the IDM. The first one gives any predefined distance to the leading vehicle in a steady state. The…

Physics and Society · Physics 2016-10-18 Valentina Kurtc , Igor Anufriev

The effectiveness of data-driven techniques significantly relies on the input signal used to generate the training data. Nevertheless, there is a notable gap in research when it comes to designing excitation signals for identifying…

Systems and Control · Electrical Eng. & Systems 2024-10-02 Max Heinz Herkersdorf , Tarek Koesters , Oliver Nelles

We propose a new inexact column-and-constraint generation (i-C&CG) method to solve two-stage robust optimization problems. The method allows solutions to the master problems to be inexact, which is desirable when solving large-scale and/or…

Optimization and Control · Mathematics 2022-11-08 Man Yiu Tsang , Karmel S. Shehadeh , Frank E. Curtis

We introduce Interleaved Gibbs Diffusion (IGD), a novel generative modeling framework for discrete-continuous data, focusing on problems with important, implicit and unspecified constraints in the data. Most prior works on discrete and…

Machine Learning · Computer Science 2025-07-04 Gautham Govind Anil , Sachin Yadav , Dheeraj Nagaraj , Karthikeyan Shanmugam , Prateek Jain

This paper presents a new improved nonlinear tracking differentiator (INTD) with hyperbolic tangent function in the state space system. The stability and convergence of the INTD are thoroughly investigated and proved. Through the error…

Optimization and Control · Mathematics 2018-03-09 Ibraheem Kasim Ibraheem , Wameedh Riyadh Abdul-Adheem

Leveraging machine learning methods to solve constraint satisfaction problems has shown promising, but they are mostly limited to a static situation where the problem description is completely known and fixed from the beginning. In this…

Machine Learning · Computer Science 2025-09-23 Wook Lee , Frans A. Oliehoek

Generating novel molecules with optimal properties is a crucial step in many industries such as drug discovery. Recently, deep generative models have shown a promising way of performing de-novo molecular design. Although graph generative…

Machine Learning · Computer Science 2018-11-27 Rim Assouel , Mohamed Ahmed , Marwin H Segler , Amir Saffari , Yoshua Bengio

This paper addresses the optimal control problem known as the Linear Quadratic Regulator in the case when the dynamics are unknown. We propose a multi-stage procedure, called Coarse-ID control, that estimates a model from a few experimental…

Optimization and Control · Mathematics 2018-12-17 Sarah Dean , Horia Mania , Nikolai Matni , Benjamin Recht , Stephen Tu

A technique is introduced which allows to generate -- starting from any solvable discrete-time dynamical system involving N time-dependent variables -- new, generally nonlinear, generations of discrete-time dynamical systems, also involving…

Mathematical Physics · Physics 2017-06-07 Oksana Bihun , Francesco Calogero

In this paper we propose a data-driven approach to the design of a residual generator, based on a dead-beat unknown-input observer, for linear time-invariant discrete-time state-space models, whose state equation is affected both by…

Systems and Control · Electrical Eng. & Systems 2024-04-10 Giulio Fattore , Maria Elena Valcher

Many combinatorial problems can be mapped to Ising machines, i.e., networks of coupled oscillators that settle to a minimum-energy ground state, from which the problem solution is inferred. This work proposes DROID, a novel event-driven…

Emerging Technologies · Computer Science 2025-02-27 Abhimanyu Kumar , Ramprasath S. , Chris H. Kim , Ulya R. Karpuzcu , Sachin S. Sapatnekar

This paper presents a continuous-time optimal control framework for the generation of reference trajectories in driving scenarios with uncertainty. A previous work presented a discrete-time stochastic generator for autonomous vehicles;…

Optimization and Control · Mathematics 2026-03-17 Ange Valli , Shangyuan Zhang , Abdel Lisser

Understanding how time delays impact the stability of a delay differential equation is important for modeling many natural and technological systems that experience time delays. Here we introduce a new stability criterion for…

Dynamical Systems · Mathematics 2025-08-25 Quinlan Leishman , Benjamin Webb

In this work, we address the exact D-optimal experimental design problem by proposing an efficient algorithm that rapidly identifies the support of its continuous relaxation. Our method leverages a column generation framework to solve such…

Optimization and Control · Mathematics 2026-05-18 Selin Ahipasaoglu , Stefano Cipolla , Jacek Gondzio

The impulsive Goodwin's oscillator (IGO) is a hybrid model composed of a third-order continuous linear part and a pulse-modulated feedback. This paper introduces a design problem of the IGO to admit a desired periodic solution. The dynamics…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Alexander Medvedev , Anton V. Proskurnikov , Zhanybai T. Zhusubaliyev

Despite its success, generative adversarial networks (GANs) still suffer from mode collapse, i.e., the generator can only map latent variables to a partial set of modes in the target distribution. In this paper, we analyze and seek to…

Machine Learning · Computer Science 2023-06-21 Yang Li , Liangliang Shi , Junchi Yan

This paper presents a new column-and-constraint generation method for two-stage robust mixed-integer programs with finite uncertainty sets. Our method combines and extends speed-up techniques used in previous column-and-constraint…

Optimization and Control · Mathematics 2025-11-04 Marc Goerigk , Dorothee Henke , Johannes Kager , Fabian Schäfer , Clemens Thielen

In this work we present a model for computation of random processes in digital computers which solves the problem of periodic sequences and hidden errors produced by correlations. We show that systems with non-invertible non-linearities can…

Statistical Mechanics · Physics 2007-05-23 Monica A. Garcia-Nustes , Leonardo Trujillo , Jorge A. Gonzalez
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