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The supervisory control of probabilistic discrete event systems (PDESs) is investigated under the assumptions that the supervisory controller (supervisor) is probabilistic and has a partial observation. The probabilistic P-supervisor is…

Systems and Control · Computer Science 2018-05-21 Weilin Deng , Jingkai Yang , Daowen Qiu

Much has been said about observability in system theory and control; however, it has been recently that observability in complex networks has seriously attracted the attention of researchers. This paper examines the state-of-the-art and…

Systems and Control · Computer Science 2017-07-13 Mehdi Fatemi , Peyman Setoodeh , Simon Haykin

Controllability and observability are important properties of a distributed paramater systems.The equivalence between the notion of exact observability and exact controllability holds in general. In this work, we define a new notion of…

Optimization and Control · Mathematics 2013-06-21 Akram Ben Aissa

This paper is devoted to a study of linear, differential and topological classifications for linear controlled systems governed by ordinary differential equations. The necessary and sufficient conditions for the linear and topological…

Optimization and Control · Mathematics 2008-07-30 Jing Li

We define observability and detectability for linear switching systems as the possibility of reconstructing and respectively of asymptotically reconstructing the hybrid state of the system from the knowledge of the output for a suitable…

Dynamical Systems · Mathematics 2008-02-28 Elena De Santis , Maria Domenica Di Benedetto , Giordano Pola

Recent developments in the formalisation of quantum causal structures have made it possible to test and compare hypotheses about causal structure empirically, rather than being a-priori assumptions. Such differences in causal structure may…

Quantum Physics · Physics 2026-05-28 Declan Maguire , Fabio Costa

This paper addresses the problems of stabilization, robust control, and observer design for nonlinear systems. We build upon recently a proposed method based on contraction theory and convex optimization, extending the class of systems to…

Optimization and Control · Mathematics 2014-09-29 Ian R. Manchester , Jean-Jacques E. Slotine

This paper investigates the structural functional observability (SFO) and structural output controllability (SOC) of a class of systems with generically diagonalizable state matrices and explores the associated minimal sensor and actuator…

Systems and Control · Electrical Eng. & Systems 2024-09-26 Yuan Zhang , Tyrone Fernando , Mohamed Darouach

In order theory, partially ordered sets are only equipped with one relation which decides the entire structure/Hasse diagram of the set. In this paper, we have presented how partially ordered sets can be studied under simultaneous partially…

General Mathematics · Mathematics 2023-07-03 Omprakash Atale

In this paper, we study infinite dimensional stochastic systems having both unbounded control and observation operators. First of all, using a semigroup approach, we give another take of the well-posedness of such systems treated in [SIAM…

Optimization and Control · Mathematics 2021-05-31 Fatima-Zahra Lahbiri , Said Hadd

We consider the set of bimodal linear systems consisting of two linear dynamics acting on each side of a given hyperplane, assuming continuity along the separating hyperplane. Focusing on the unobservable planar ones, we obtain a simple…

Dynamical Systems · Mathematics 2012-01-04 Josep Ferrer , M. Dolors Magret , Juan R. Pacha , Marta Peña

This paper studies the structural controllability of a class of uncertain switched linear systems, where the parameters of subsystems state matrices are either unknown or zero. The structural controllability is a generalization of the…

Systems and Control · Computer Science 2013-08-27 Xiaomeng Liu , Hai Lin , Ben M. Chen

Causality is one of the most fundamental notions in physics. Generalized probabilistic theories (GPTs) and the process matrix framework incorporate it in different forms. However, a direct connection between these frameworks remains…

Quantum Physics · Physics 2024-11-07 Yiying Chen , Peidong Wang , Zizhu Wang

Causality among events is widely recognized as a most fundamental structure of spacetime, and causal sets have been proposed as discrete models of the latter in the context of quantum gravity theories, notably in the Causal Set Programme.…

Computational Physics · Physics 2010-04-20 Tommaso Bolognesi

We study controllability and observability concepts of tempered fractional linear systems in the Caputo sense. First, we formulate a solution for the class of tempered systems under investigation by means of the Laplace transform method.…

Optimization and Control · Mathematics 2024-12-11 Ilyasse Lamrani , Hanaa Zitane , Delfim F. M. Torres

In this note, we investigate the structural controllability and observability indices of structured systems. We provide counter-examples showing that an existing graph-theoretic characterization for the structural controllability index…

Systems and Control · Electrical Eng. & Systems 2025-02-20 Yuan Zhang , Ranbo Cheng , Ziyuan Luo , Yuanqing Xia

This paper introduces a new controllability notion, termed partial strong structural controllability (PSSC), on a structured system whose entries of system matrices are either fixed zero or indeterminate, which naturally extends the…

Systems and Control · Electrical Eng. & Systems 2021-11-08 Yuan Zhang , Yuanqing Xia

We consider a sequential problem in decentralized detection. Two observers can make repeated noisy observations of a binary hypothesis on the state of the environment. At any time, any of the two observers can stop and send a final message…

Optimization and Control · Mathematics 2015-03-17 Ashutosh Nayyar , Demosthenis Teneketzis

By relating and ordering events, causality constitutes a pivotal feature of our world. On the one hand, there are information-theoretic notions of causality defined in terms of the information processing ability of agents and on the other…

Quantum Physics · Physics 2023-04-26 Maarten Grothus

The clustered observational study (COS) design is the observational study counterpart to the clustered randomized trial. In a COS, a treatment is assigned to intact groups, and all units within the group are exposed to the treatment.…

Methodology · Statistics 2022-06-22 Ting Ye , Ted Westling , Lindsay Page , Luke Keele