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A joint characterization of reachability (controllability) and observability (constructibility) for linear SISO nonuniformly sampled discrete systems is presented. The work generalizes to the nonuniform sampling the criterion known for the…

Dynamical Systems · Mathematics 2010-05-21 Amparo Fúster-Sabater

For linear control systems, the usual state feedback stabilizability has two components: one is a continuous observation mode (i.e., to observe solutions continuously in time), and the other is a class of feedback laws (which is usually the…

Optimization and Control · Mathematics 2022-08-29 Hanbing Liu , Gengsheng Wang , Huaiqiang Yu

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 problem of determining the state of a quantum system given one or more readings of the expectation value of an observable. The system is assumed to be a finite dimensional quantum control system for which we can influence…

Quantum Physics · Physics 2009-11-10 Domenico D'Alessandro

We survey the state of the art on the algorithmic analysis of discrete linear dynamical systems, focussing in particular on reachability, model-checking, and invariant-generation questions, both unconditionally as well as relative to…

Dynamical Systems · Mathematics 2022-09-21 Toghrul Karimov , Edon Kelmendi , Joël Ouaknine , James Worrell

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

We analyze in detail the subtle yet critical differences between the structural controllability and observability of the triplet $(A,B,C)$ in the two cases that this is viewed as a linear dynamical network of interconnected nodes or as a a…

Dynamical Systems · Mathematics 2019-01-18 Francesco Lo Iudice , Francesco Sorrentino , Franco Garofalo

Observability is a modelling property that describes the possibility of inferring the internal state of a system from observations of its output. A related property, structural identifiability, refers to the theoretical possibility of…

Quantitative Methods · Quantitative Biology 2018-12-12 Alejandro F. Villaverde

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

A solution is given to the basic distributed feedback control problem for a multi-channel linear system assuming only that the system is jointly controllable, jointly observable and has an associated neighbor graph which is strongly…

Systems and Control · Electrical Eng. & Systems 2020-03-16 L. Wang , D. Fullmer , F. Liu , A. S. Morse

In this paper we propose a new observability property for nonautonomous linear control systems in finite dimension: the nonuniform complete observability, which is more general than the uniform complete observability. A dual relationship is…

Optimization and Control · Mathematics 2025-08-14 Ignacio Huerta , Pablo Monzón

In this paper, we introduce the concept of observability of targeted state variables for systems that may not be fully observable. For their estimation, we introduce and exemplify a deep filter, which is a neural network specifically…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Wei Kang , Liang Xu , Hong Zhou

This paper studies the local observability of synchronous machines using a unified approach. Recently, motion sensorless control of electrical drives has gained high interest. The main challenge for such a technology is the poor performance…

Optimization and Control · Mathematics 2015-12-14 Mohamad Koteich , Abdelmalek Maloum , Gilles Duc , Guillaume Sandou

This paper is concerned with a characterization of the observability for a continuous-time hidden Markov model where the state evolves as a general continuous-time Markov process and the observation process is modeled as nonlinear function…

Probability · Mathematics 2020-02-25 Jin W. Kim , Prashant G. Mehta

We address the observability problem for ensembles that are described by probability distributions. The problem is to reconstruct a probability distribution of the initial state from the time-evolution of the probability distribution of the…

Optimization and Control · Mathematics 2015-07-09 Shen Zeng , Steffen Waldherr , Christian Ebenbauer , Frank Allgower

This paper extends the application of a recently proposed nonlinear observer (cubic observer) for state estimation of linear systems with unknown inputs and delays. The generalized structure proposed here, makes it possible to establish a…

Optimization and Control · Mathematics 2019-12-24 Mohammad Mahdi Share Pasand

This paper is devoted to the study of controllability of linear systems on generalized Heisenberg groups. Some general necessary controllability conditions and some sufficient ones are provided. We introduce the notion of decoupled systems,…

Optimization and Control · Mathematics 2015-10-15 Mouhamadou Dath , Philippe Jouan

This note investigates the distributed estimation problem for continuous-time linear time-invariant (LTI) systems observed by a network of observers. Each observer in the network has access to only part of the output of the observed system,…

Optimization and Control · Mathematics 2017-08-07 Weixin Han , Harry L. Trentelman , Zhenhua Wang , Yi Shen

This work deals with the problem of designing observers for the estimation of a single function of the states for discrete-time nonlinear systems. Necessary and sufficient conditions for the existence of lower order functional observers…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Sunjeev Venkateswaran , Benjamin A. Wilhite , Costas Kravaris

A joint characterisation of the observability and controllability of a particular kind of discrete system has been developed. The key idea of the procedure can be reduced to a correct choice of the sampling sequence. This freedom, owing to…

Discrete Mathematics · Computer Science 2010-06-23 Amparo Fúster-Sabater , J. M. Guillén