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When learning to act in a stochastic, partially observable environment, an intelligent agent should be prepared to anticipate a change in its belief of the environment state, and be capable of adapting its actions on-the-fly to changing…

Machine Learning · Computer Science 2022-04-14 Ugo Lecerf , Christelle Yemdji-Tchassi , Pietro Michiardi

This paper investigates observability/controllability of a networked dynamic system (NDS) in which system matrices of its subsystems are expressed through linear fractional transformations (LFT). Some relations have been obtained between…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Tong Zhou , Yuyu Zhou

In various applications in the field of control engineering the estimation of the state variables of dynamic systems in the presence of unknown inputs plays an important role. Existing methods require the so-called observer matching…

Systems and Control · Electrical Eng. & Systems 2022-04-08 Helmut Niederwieser , Markus Tranninger , Richard Seeber , Markus Reichhartinger

We prove that all standard subregular language classes are linearly separable when represented by their deciding predicates. This establishes finite observability and guarantees learnability with simple linear models. Synthetic experiments…

Computation and Language · Computer Science 2026-03-16 Katsuhiko Hayashi , Hidetaka Kamigaito

In this paper we provide a set of stability conditions for linear time-invariant networked control systems with arbitrary topology, using a Lyapunov direct approach. We then use these stability conditions to provide a novel low-complexity…

Optimization and Control · Mathematics 2014-01-27 Mohammad Razeghi-Jahromi , Alireza Seyedi

The structure of interactions in most of animals and human societies can be best represented by complex hierarchical networks. In order to maintain close to optimal functioning both stability and adaptability are necessary. Here we…

Physics and Society · Physics 2018-02-20 Maryam Zamani , Leonardo Camargo-Forero , Tamas Vicsek

For systems that are not observable at the very equilibrium of interest to be stabilized, output-feedback stabilization is considerably challenging. In this paper we solve this control problem for the case-study of a second-order system…

Optimization and Control · Mathematics 2023-09-21 Mohamed Maghenem , William Pasillas-Lépine , Antonio Loría , Missie Aguado-Rojas

In several applications such as databases, planning, and sensor networks, parameters such as selectivity, load, or sensed values are known only with some associated uncertainty. The performance of such a system (as captured by some…

Data Structures and Algorithms · Computer Science 2010-01-28 Sudipto Guha , Kamesh Munagala

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…

Optimization and Control · Mathematics 2022-06-13 Yonathan Efroni , Sham Kakade , Akshay Krishnamurthy , Cyril Zhang

In this paper, a new definition of observability is introduced for PDEs. It is a quantitative measure of partial observability. The quantity is proved to be consistent if approximated using well posed approximation schemes. A first order…

Dynamical Systems · Mathematics 2011-11-28 Wei Kang

The mathematical modeling of numerous real-world applications results in hierarchical optimization problems with two decision makers where at least one of them has to solve an optimal control problem of ordinary or partial differential…

Optimization and Control · Mathematics 2019-06-20 Patrick Mehlitz , Gerd Wachsmuth

This paper studies least-square regression penalized with partly smooth convex regularizers. This class of functions is very large and versatile allowing to promote solutions conforming to some notion of low-complexity. Indeed, they force…

Optimization and Control · Mathematics 2014-07-01 Samuel Vaiter , Gabriel Peyré , Jalal M. Fadili

Supervisory control of discrete-event systems with a global safety specification and with only local supervisors is a difficult problem. For global specifications the equivalent conditions for local control synthesis to equal global control…

Optimization and Control · Mathematics 2012-03-22 Jan Komenda , Tomas Masopust , Jan H. van Schuppen

Bisimulation relation has been successfully applied to computer science and control theory. In our previous work, simulation-based controllability and simulation-based observability are proposed, under which the existence of bisimilarity…

Systems and Control · Computer Science 2016-11-25 Yajuan Sun , Hai Lin , Fuchun Liu

We derive sufficient conditions for the solvability of the state estimation problem for a class of nonlinear control time-varying systems which includes those, whose dynamics have triangular structure. The state estimation is exhibited by…

Optimization and Control · Mathematics 2018-06-07 John Tsinias , Constantinos Kitsos

Observability is the property that enables to distinguish two different locations in $n$-dimensional state space from a reduced number of measured variables, usually just one. In high-dimensional systems it is therefore important to make…

Neurons and Cognition · Quantitative Biology 2019-05-06 Luis A. Aguirre , Leonardo L. Portes , Christophe Letellier

Necessary conditions for asymptotic stability and stabilizability of subsets for dynamical and control systems are obtained. The main necessary condition is homotopical and is in turn used to obtain a homological one. A certain extension is…

Dynamical Systems · Mathematics 2022-11-15 Matthew D. Kvalheim

We present a novel Explainable methodology for Condition Monitoring, relying on healthy data only. Since faults are rare events, we propose to focus on learning the probability distribution of healthy observations only, and detect Anomalies…

In this paper, we will investigate the moment exponential stabilization of highly nonlinear hybrid stochastic differential delay equations. A periodically intermittent controller based on discrete time state observations with asynchronous…

Optimization and Control · Mathematics 2026-03-20 Guangqiang Lan , Fansai Meng

This paper introduces the new concepts of Functional Controllability and Functional Stabilizability, and establishes their duality with Functional Observability and Functional Detectability, respectively. A Generalized Separation Principle…

Systems and Control · Electrical Eng. & Systems 2026-02-18 Tyrone Fernando , Mohamed Darouach