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The concept of observability of linear systems initiated with Kalman in the mid 1950s. Roughly a decade later, the observability of nonlinear systems appeared. By such definitions a system is either observable or not. Continuous measures of…

混沌动力学 · 物理学 2019-05-06 Luis A. Aguirre , Leonardo L. Portes , Christophe Letellier

The quantitative understanding and precise control of complex dynamical systems can only be achieved by observing their internal states via measurement and/or estimation. In large-scale dynamical networks, it is often difficult or…

系统与控制 · 电气工程与系统科学 2022-08-09 Arthur N. Montanari , Chao Duan , Luis A. Aguirre , Adilson E. Motter

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…

最优化与控制 · 数学 2021-06-25 Joshua L. Pulsipher , Daniel Rios , Victor M. Zavala

The duality between controllability and observability enables methods developed for full-state control to be applied to full-state estimation, and vice versa. In applications in which control or estimation of all state variables is…

系统与控制 · 电气工程与系统科学 2023-09-26 Arthur N. Montanari , Chao Duan , Adilson E. Motter

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…

最优化与控制 · 数学 2019-12-24 Mohammad Mahdi Share Pasand

This paper considers the relevance of the concepts of observability and computability in physical theory. Observability is related to verifiability which is essential for effective computing and as physical systems are computational systems…

综合物理 · 物理学 2012-06-28 Subhash Kak

Set-based state estimation computes sets of states consistent with a system model given bounded sets of disturbances and noise. Bounding the set of states is crucial for safety-critical applications so that one can ensure that all…

系统与控制 · 电气工程与系统科学 2026-02-04 Nico Holzinger , Matthias Althoff

In decentralized networked supervisory control of discrete-event systems (DESs), the local supervisors observe event occurrences subject to observation delays to make correct control decisions. Delay coobservability describes whether these…

系统与控制 · 电气工程与系统科学 2022-05-20 Yunfeng Hou , Qingdu Li , Yunfeng Ji , Gang Wang , Ching-Yen Weng

This paper presents a new observer design approach for linear time invariant multivariable systems subject to unknown inputs. The design is based on a transformation to the so-called special coordinate basis. This form reveals important…

系统与控制 · 电气工程与系统科学 2021-11-30 Markus Tranninger , Helmut Niederwieser , Richard Seeber , Martin Horn

Sustainability aspects of transportation infrastructure systems primarily focus on system performance based on environmental, social, and economic impacts. In contrast, resilience aspects demonstrate the ability to withstand external shocks…

系统与控制 · 电气工程与系统科学 2022-08-23 H M Imran Kays , Arif Mohaimin Sadri

A joint characterisation of the controllability and observability 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…

动力系统 · 数学 2010-06-14 Amparo Fúster-Sabater , J. M. Guillén

The problem of state reconstruction is considered for uncertain linear time-invariant systems with overparameterization, arbitrary state-space matrices and unknown additive perturbation described by an exosystem. A novel adaptive observer…

系统与控制 · 电气工程与系统科学 2024-03-14 Anton Glushchenko , Konstantin Lastochkin

We study the evolution of observables of dynamical systems. For linear systems, we show that observables satisfy a closed differential equation whose minimal order is determined by the dynamical system and observation operator. This yields…

动力系统 · 数学 2026-03-24 Xinyu Liu , Dongbin Xiu

This paper studies detectability for switched linear differential-algebraic equations (DAEs) and its application to the synthesis of observers, which generate asymptotically converging state estimates. Equating detectability to asymptotic…

最优化与控制 · 数学 2019-04-02 Aneel Tanwani , Stephan Trenn

In this paper we propose a new observer design technique for nonlinear systems. It combines the well-known Kazantzis-Kravaris-Luenberger observer and the recently introduced parameter estimation-based observer, which become special cases of…

系统与控制 · 计算机科学 2018-07-12 Bowen Yi , Romeo Ortega , Weidong Zhang

In this paper we consider the joint problems of state estimation and model identification for a class of continuous-time nonlinear systems in output-feedback canonical form. An adaptive observer is proposed that combines an extended…

系统与控制 · 电气工程与系统科学 2020-12-01 Michelangelo Bin , Lorenzo Marconi

Reachability analysis, in general, is a fundamental method that supports formally-correct synthesis, robust model predictive control, set-based observers, fault detection, invariant computation, and conformance checking, to name but a few.…

系统与控制 · 电气工程与系统科学 2020-11-17 Niklas Kochdumper , Bastian Schürmann , Matthias Althoff

Problem of adaptive state observer synthesis for linear time-varying (LTV) system with unknown time-varying parameter and delayed output measurements is considered. State observation problem has attracted the attention of many researchers…

动力系统 · 数学 2022-07-26 Alexey Bobtsov , Nikolay Nikolaev , Olga Slita , Olga Kozachek

Detectability describes the property of a system to uniquely determine, after a finite number of observations, the current and subsequent states. In this paper, to reduce the complexity of checking the detectability properties in the…

系统与控制 · 电气工程与系统科学 2019-08-27 Hao Lan , Yin Tong , Jin Guo , Carla Seatzu

In this paper we provide a flexible framework allowing for a unified study of time consistency of risk measures and performance measures (also known as acceptability indices). The proposed framework not only integrates existing forms of…

概率论 · 数学 2017-09-08 Tomasz R. Bielecki , Igor Cialenco , Marcin Pitera