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We propose a framework for the design of feedback controllers that combines the optimization-driven and model-free advantages of deep reinforcement learning with the stability guarantees provided by using the Youla-Kucera parameterization…

Machine Learning · Computer Science 2024-03-25 Nathan P. Lawrence , Philip D. Loewen , Shuyuan Wang , Michael G. Forbes , R. Bhushan Gopaluni

We propose a framework for the design of feedback controllers that combines the optimization-driven and model-free advantages of deep reinforcement learning with the stability guarantees provided by using the Youla-Kucera parameterization…

Systems and Control · Electrical Eng. & Systems 2024-03-27 Nathan P. Lawrence , Philip D. Loewen , Shuyuan Wang , Michael G. Forbes , R. Bhushan Gopaluni

This paper deals with the problem of distributed control synthesis. We seek to find structured controllers that are stably realizable over the underlying network. We address the problem using an operator form of discrete-time linear…

Optimization and Control · Mathematics 2019-10-03 Mohammad Naghnaeian , Petros G. Voulgaris , Nicola Elia

This paper presents a novel approach to generating stabilizing controllers for a large class of dynamical systems using diffusion models. The core objective is to develop stabilizing control functions by identifying the closest…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Amartya Mukherjee , Thanin Quartz , Jun Liu

Stable diffusion models represent the state-of-the-art in data synthesis across diverse domains and hold transformative potential for applications in science and engineering, e.g., by facilitating the discovery of novel solutions and…

Machine Learning · Computer Science 2025-10-23 Stefano Zampini , Jacob K. Christopher , Luca Oneto , Davide Anguita , Ferdinando Fioretto

This paper is concerned with application of the classical Youla-Ku\v{c}era parameterization to finding a set of linear coherent quantum controllers that stabilize a linear quantum plant. The plant and controller are assumed to represent…

Quantum Physics · Physics 2015-03-10 Arash Kh. Sichani , Ian R. Petersen , Igor G. Vladimirov

We have witnessed the emergence of several controller parameterizations and the corresponding synthesis methods, including Youla, system level, input-output, and many other new proposals. Meanwhile, under the same synthesis method, there…

Optimization and Control · Mathematics 2022-02-11 Shih-Hao Tseng

We have witnessed the emergence of several controller parameterizations and the corresponding synthesis methods, including Youla, system level, input-output, and many other new proposals. Meanwhile, under the same synthesis method, there…

Optimization and Control · Mathematics 2022-02-11 Shih-Hao Tseng

Robust controller synthesis attracts reviving research interest, driven by the rise of learning-based systems where uncertainty and perturbation are ubiquitous. Facing an uncertain situation, a robustly stabilizing controller should…

Optimization and Control · Mathematics 2022-02-11 Shih-Hao Tseng

We derive a state-space characterization of all dynamic state-feedback controllers that make an equilibrium of a nonlinear input-affine continuous-time system locally exponentially stable. Specifically, any controller obtained as the sum of…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Luca Furieri

We present a parameterization of the stabilizing controllers over commutative rings. In the classical case, that is, in the case where there exist the right-/left-coprime factorizations of the given plant, the stabilizing controllers can be…

Optimization and Control · Mathematics 2007-05-23 Kazuyoshi Mori

This paper presents a parameterization of nonlinear controllers for uncertain systems building on a recently developed neural network architecture, called the recurrent equilibrium network (REN), and a nonlinear version of the Youla…

Systems and Control · Electrical Eng. & Systems 2021-12-03 Ruigang Wang , Ian R. Manchester

Consistency models have been proposed for fast generative modeling, achieving results competitive with diffusion and flow models. However, these methods exhibit inherent instability and limited reproducibility when training from scratch,…

Machine Learning · Computer Science 2026-02-02 Youngjoong Kim , Duhoe Kim , Woosung Kim , Jaesik Park

We study parameterizations of stabilizing nonlinear policies for learning-based control. We propose a structure based on a nonlinear version of the Youla-Kucera parameterization combined with robust neural networks such as the recurrent…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Nicholas H. Barbara , Ruigang Wang , Alexandre Megretski , Ian R. Manchester

A convex parameterization of internally stabilizing controllers is fundamental for many controller synthesis procedures. The celebrated Youla parameterization relies on a doubly-coprime factorization of the system, while the recent…

Optimization and Control · Mathematics 2020-06-01 Yang Zheng , Luca Furieri , Antonis Papachristodoulou , Na Li , Maryam Kamgarpour

Various new implicit parameterizations for stabilizing controllers that allow one to impose structural constraints on the controller have been proposed lately. They are convex but infinite-dimensional, formulated in the frequency domain…

Optimization and Control · Mathematics 2022-04-01 Mauricio C. de Oliveira , Yang Zheng

Recent advances in diffusion-based controllable visual generation have led to remarkable improvements in image quality. However, these powerful models are typically deployed on cloud servers due to their large computational demands, raising…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Yuhe Liu , Zhenxiong Tan , Yujia Hu , Songhua Liu , Xinchao Wang

The increasing deployment of deep learning systems requires systematic evaluation of their reliability in real-world scenarios. Traditional gradient-based adversarial attacks introduce small perturbations that rarely correspond to realistic…

Machine Learning · Computer Science 2026-01-22 Oliver Weißl , Vincenzo Riccio , Severin Kacianka , Andrea Stocco

This study investigates a parameterization of all retrofit controllers. Retrofit control can accomplish modular design of control systems, i.e., independent design of subcontrollers only with its corresponding subsystem model in a dynamical…

Systems and Control · Electrical Eng. & Systems 2020-05-26 Hampei Sasahara , Takayuki Ishizaki , Jun-ichi Imura

The paper studies digital redesign of linear time-invariant analog controllers under intermittent sampling. The sampling pattern is only assumed to be uniformly bounded, but otherwise irregular and unknown a priori. The contribution of the…

Optimization and Control · Mathematics 2016-03-10 Leonid Mirkin
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