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It is of practical significance to define the notion of a measure of quality of a control system, i.e., a quantitative extension of the classical notion of controllability. In this article we demonstrate that the three standard measures of…

最优化与控制 · 数学 2018-06-12 Mohammed Rayyan Sheriff , Debasish Chatterjee

For large-scale network systems, network centrality based on control theory plays a crucial role in understanding their properties and controlling them efficiently. The controllability score is such a centrality index and can give a…

最优化与控制 · 数学 2025-10-07 Kota Umezu , Kazuhiro Sato

This paper presents a general framework for the design of linear controllers for linear systems subject to time-domain constraints. The design framework exploits sums-of-squares techniques to incorporate the time-domain constraints on…

Positive linear systems on arbitrary time scales are studied. The theory developed in the paper unifies and extends concepts and results known for continuous-time and discrete-time systems. A necessary and sufficient condition for a linear…

最优化与控制 · 数学 2012-04-17 Zbigniew Bartosiewicz

In this paper, we investigate the problem of synthesizing strategies for linear temporal logic (LTL) specifications that are interpreted over finite traces -- a problem that is central to the automated construction of controllers, robot…

计算机科学中的逻辑 · 计算机科学 2018-09-03 Alberto Camacho , Meghyn Bienvenu , Sheila A. McIlraith

Algebraically speaking, linear time-invariant (LTI) systems can be considered as modules. In this framework, controllability is translated as the freeness of the system module. Optimal control mainly relies on quadratic Lagrangians and the…

最优化与控制 · 数学 2024-10-10 Cédric Join , Emmanuel Delaleau , Michel Fliess

Some necessary and sufficient conditions are obtained for the controllability and observability of a networked system with linear time invariant (LTI) dynamics. The topology of this system is fixed but arbitrary, and every subsystem is…

系统与控制 · 计算机科学 2016-10-12 Tong Zhou

Scalable frames are frames with the property that the frame vectors can be rescaled resulting in tight frames. However, if a frame is not scalable, one has to aim for an approximate procedure. For this, in this paper we introduce three…

泛函分析 · 数学 2014-06-10 Xuemei Chen , Gitta Kutyniok , Kasso A. Okoudjou , Friedrich Philipp , Rongrong Wang

This paper investigates the controllability of finite-dimensional linear fractional systems involving an uncertain parameter. We establish new results on the simultaneous and average controllability. In particular, we show that average…

最优化与控制 · 数学 2025-08-05 Idriss Boutaayamou , Fouad Et-Tahri , Lahcen Maniar

A fundamental concept in control theory is that of controllability, where any system state can be reached through an appropriate choice of control inputs. Indeed, a large body of classical and modern approaches are designed for controllable…

最优化与控制 · 数学 2022-06-13 Yonathan Efroni , Sham Kakade , Akshay Krishnamurthy , Cyril Zhang

Achieving optimal steady-state performance in real-time is an increasingly necessary requirement of many critical infrastructure systems. In pursuit of this goal, this paper builds a systematic design framework of feedback controllers for…

最优化与控制 · 数学 2017-10-30 Zachary E. Nelson , Enrique Mallada

Internal software quality determines the maintainability of the software product and influences the quality in use. There is a plethora of metrics which purport to measure the internal quality of software, and these metrics are offered by…

软件工程 · 计算机科学 2019-09-24 Mayra Nilson , Vard Antinyan , Lucas Gren

Two indicators are classically used to evaluate the quality of rule-based classification systems: predictive accuracy, i.e. the system's ability to successfully reproduce learning data and coverage, i.e. the proportion of possible cases for…

人工智能 · 计算机科学 2020-04-07 Nassim Dehouche

Nowadays, systems containing components based on machine learning (ML) methods are becoming more widespread. In order to ensure the intended behavior of a software system, there are standards that define necessary quality aspects of the…

Linear time-invariant control systems can be considered as finitely generated modules over the commutative principal ideal ring $\mathbb{R}[\frac{d}{dt}]$ of linear differential operators with respect to the time derivative. The Kalman…

最优化与控制 · 数学 2025-12-15 Cédric Join , Emmanuel Delaleau , Michel Fliess

Systems equipped with modern sensing modalities such as vision and lidar gain access to increasingly high-dimensional measurements with which to enact estimation and control schemes. In this article, we examine the continuum limit of…

系统与控制 · 电气工程与系统科学 2024-09-20 Maxwell Varley , Timothy L. Molloy , Girish N. Nair

In this paper, we study the control of a class of time-invariant linear ensemble systems whose natural dynamics are linear in the system parameter. This class of ensemble control systems arises from practical engineering and physical…

最优化与控制 · 数学 2014-10-07 Jr-Shin Li , Ji Qi

In this paper, we study the concept of approximate controllability of retarded network systems of neutral type. On one hand, we reformulate such systems as free-delay boundary control systems on product spaces. On the other hand, we use the…

最优化与控制 · 数学 2021-01-14 Yassine El Gantouh , Said Hadd

This paper introduces a framework for quantitative characterization of the controllability of time-varying linear systems (or networks) in terms of input novelty. The motivation for such an approach comes from the study of biophysical…

最优化与控制 · 数学 2014-11-24 Gautam Kumar , Delsin Menolascino , ShiNung Ching

In this paper we consider output controllability for linear time-invariant systems. In a recent paper by Danhane, Loh{\'e}ac and Jungers it has been pointed out that although output controllability is a classical notion in control theory,…

最优化与控制 · 数学 2023-06-16 Michael Schönlein
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