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Researchers develop models to explain the unknowns. These models typically involve parameters that capture tangible quantities, the estimation of which is desired. Parameter identifiability investigates the recoverability of the unknown…

Optimization and Control · Mathematics 2024-07-01 Anuththara Sarathchandra , Azadeh Aghaeeyan , Pouria Ramazi

This paper presents a closed-form notion of controllability and observability for systems with communication delays, actuation delays, and locality constraints. The formulation reduces to classical notions of controllability and…

Optimization and Control · Mathematics 2024-04-08 Lauren Conger , Yiheng Lin , Adam Wierman , Eric Mazumdar

Nowadays, the numerical models of real-world structures are more precise, more complex and, of course, more time-consuming. Despite the growth of a computational effort, the exploration of model behaviour remains a complex task. The…

Computational Engineering, Finance, and Science · Computer Science 2014-10-17 Eliska Janouchova , Anna Kucerova

Infinite-dimensional control systems with outputs are considered in the Hamiltonian formulation with generalized coordinates. An explicit scheme for constructing a dynamic observer for this class of systems is proposed with arbitrary gain…

Optimization and Control · Mathematics 2023-08-16 Alexander Zuyev , Julia Kalosha

In this paper, a general framework is proposed for the analysis and characterization of observability and diagnosability of finite state systems. Observability corresponds to the reconstruction of the system's discrete state, while…

Optimization and Control · Mathematics 2016-11-28 Elena De Santis , Maria Domenica Di Benedetto

To study discrete dynamical systems of different types --- deterministic, statistical and quantum --- we develop various approaches. We introduce the concept of a system of discrete relations on an abstract simplicial complex and develop…

Mathematical Physics · Physics 2010-11-10 Vladimir V. Kornyak

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

For linear infinite systems the approximate controllability problem by control constraints is considered. Controllability conditions represented via system parameters are obtained. Partial differential control systems and control systems…

solv-int · Physics 2008-02-03 B. Shklyar

A simply structured distributed observer is described for estimating the state of a discrete-time, jointly observable, input-free, linear system whose sensed outputs are distributed across a time-varying network. It is explained how to…

Systems and Control · Computer Science 2019-03-14 Lili Wang , Ji Liu , A. Stephen Morse , Brian D. O. Anderson

The construction and operation of large scale quantum information devices presents a grand challenge. A major issue is the effective control of coherent evolution, which requires accurate knowledge of the system dynamics that may vary from…

Quantum Physics · Physics 2014-03-04 Daniel Oi , Sophie Schirmer

This paper studies the identification of nonlinearly parameterized control systems in given experiments. Several identifiability criteria are established and an implementable algorithm is proposed for practicality with the convergence rate…

Optimization and Control · Mathematics 2019-08-21 Chanying Li

This note aims to bring attention to a simple class of discrete dynamical systems exhibiting some complex behaviour. Each of these systems is defined as a self-mapping of the unit square and is obtained by coupling two families of…

Dynamical Systems · Mathematics 2012-01-20 Chris Preston

We propose automated techniques for the verification and control of probabilistic real-time systems that are only partially observable. To formally model such systems, we define an extension of probabilistic timed automata in which local…

Logic in Computer Science · Computer Science 2015-06-24 Gethin Norman , David Parker , Xueyi Zou

We present a computational framework for analyzing and quantifying system flexibility. Our framework incorporates new features that include: general uncertainty characterizations that are constructed using composition of sets, procedures…

Optimization and Control · Mathematics 2021-06-25 Joshua L. Pulsipher , Daniel Rios , Victor M. Zavala

According to recent results, convergence in a prespecified or prescribed finite time can be achieved under extreme model uncertainty if control is applied continuously over time. This paper shows that this extreme amount of uncertainty…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Hernan Haimovich , Rodrigo Aldana-Lopez , Richard Seeber , David Gomez-Gutierrez

We show that many bounded rationality patterns of choice can be alternatively represented as testable models of limited consideration, and we elicit the features of the associated unobserved consideration sets from the observed choice.…

Theoretical Economics · Economics 2024-03-08 Davide Carpentiere , Angelo Petralia

In this review, we recall the concepts of Identifiability and Observability of dynamical systems, and analyse them in the framework of Mathematical Epidemiology. We show that, even for simple and well known models of the literature, these…

Dynamical Systems · Mathematics 2023-05-23 Nik Cunniffe , Frédéric Hamelin , Abderrahman Iggidr , Alain Rapaport , Gauthier Sallet

An algebraic characterization of the property of approximate controllability is given, for behaviours of spatially invariant dynamical systems, consisting of distributional solutions, that are periodic in the spatial variables, to a system…

Optimization and Control · Mathematics 2014-02-19 Amol Sasane

We consider the controllability of large-scale linear networked dynamical systems when complete knowledge of network structure is unavailable and knowledge is limited to coarse summaries. We provide conditions under which average…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Nafiseh Ghoroghchian , Rajasekhar Anguluri , Gautam Dasarathy , Stark C. Draper

A canonical formalism and constraint analysis for discrete systems subject to a variational action principle are devised. The formalism is equivalent to the covariant formulation, encompasses global and local discrete time evolution moves…

Mathematical Physics · Physics 2013-09-17 Bianca Dittrich , Philipp A Hoehn
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