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In this paper, we study the stability and instability of plane wave solutions to semilinear systems of wave equations satisfying the null condition. We identify a condition which allows us to prove the global nonlinear asymptotic stability…

Analysis of PDEs · Mathematics 2020-09-04 John Anderson , Samuel Zbarsky

We introduce the notions of semi-uniform input-to-state stability and its subclass, polynomial input-to-state stability, for infinite-dimensional systems. We establish a characterization of semi-uniform input-to-state stability based on…

Optimization and Control · Mathematics 2022-05-30 Masashi Wakaiki

A deep-sea construction vessel is used to install underwater parts of an off-shore oil drilling platform at the designated locations on the seafloor. By using extended Hamilton's principle, a nonlinear PDE system governing the…

Optimization and Control · Mathematics 2020-07-23 Ji Wang , Miroslav Krstic

A discussion of the robustness properties of the proposed observer with respect to measurement errors is provided for the recently proposed full-order and reduced-order, hybrid, dead-beat observer for a class of nonlinear systems, linear in…

Optimization and Control · Mathematics 2011-02-21 Iasson Karafyllis , Zhong-Ping Jiang

This paper deals with the state estimation of linear time-invariant systems using distributed observers with local sampled-data measurement and aperiodic communication. Each observer agent perceives partial information of the system to be…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Shimin Wang , Ya-Jun Pan , Martin Guay

This paper addresses the problem of selecting the minimum number of dedicated sensors to achieve observability in the presence of unknown inputs, namely, the state and input observability, for linear time-invariant systems. We assume that…

Systems and Control · Electrical Eng. & Systems 2024-08-20 Ranbo Cheng , Yuan Zhang , Amin MD Al , Yuanqing Xia

This paper deals with the problem of robust fault estimation for the Lipschitz nonlinear systems under the influence of sensor faults and actuator faults. In the proposed methodology, a descriptor system is formulated by augmenting sensor…

Systems and Control · Electrical Eng. & Systems 2023-12-11 Shivaraj Mohite , Adil Sheikh , S. R. Wagh

This work introduces a learning-enhanced observer (LEO) for linear time-invariant systems with uncertain dynamics. Rather than relying solely on nominal models, the proposed framework treats the system matrices as optimizable variables and…

Machine Learning · Computer Science 2025-11-21 Hao Shu

Observer design typically requires the observability of the underlying system, which may be hard to verify for nonlinear systems, while guaranteeing asymptotic convergence of errors, which may be insufficient in order to satisfy performance…

Optimization and Control · Mathematics 2017-03-23 Shankar Mohan , Jinsun Liu , Ram Vasudevan

This work presents a notion of strong detectability for linear time varying systems affected by unknown inputs. It is shown that this notion is equivalent to detectability of an auxiliary system without unknown inputs. This allows a…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Markus Tranninger , Richard Seeber , Juan G. Rueda-Escobedo , Martin Horn

This paper proposes a novel distributed interval observer design for linear time-invariant (LTI) discrete-time systems subject to bounded disturbances. In the proposed observer algorithm, each agent in a networked group exchanges…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Mohammad Khajenejad , Scott Brown , Sonia Martinez

The design of a nonlinear Luenberger observer for a parametrized linear SISO (single-input single-output) system is studied. From an observability assumption of the system, the existence of such an observer is concluded. In a second step, a…

Dynamical Systems · Mathematics 2016-05-11 Chouaib Afri , Vincent Andrieu , Laurent Bako , Pascal Dufour

In this work, we propose the design and analysis of a novel continuous robust controller for a class of multi--input multi--output (MIMO) nonlinear uncertain systems. The systems under consideration contains unstructured uncertainties in…

Optimization and Control · Mathematics 2013-01-24 Baris Bidikli , Enver Tatlicioglu , Erkan Zergeroglu , Alper Bayrak

When the disturbance input matrix is nonlinear, existing disturbance observer design methods rely on the solvability of a partial differential equation or the existence of an output function with a uniformly well-defined disturbance…

Systems and Control · Electrical Eng. & Systems 2024-06-21 Yujie Wang , Xiangru Xu

We consider the problem of distributed state estimation of a linear time-invariant (LTI) system by a network of sensors. We develop a distributed observer that guarantees asymptotic reconstruction of the state for the most general class of…

Systems and Control · Computer Science 2017-04-27 Aritra Mitra , Shreyas Sundaram

The paper deals with the observer design problem for a wide class of triangular nonlinear time-varying systems. The results of the present work generalize previous results in the literature dealing with the observer design problem for…

Optimization and Control · Mathematics 2014-03-17 Dimitris Boskos , John Tsinias

This paper presents a detection algorithm for sensor attacks and a resilient state estimation scheme for a class of uniformly observable nonlinear systems. An adversary is supposed to corrupt a subset of sensors with the possibly unbounded…

Systems and Control · Computer Science 2021-01-11 Junsoo Kim , Chanhwa Lee , Hyungbo Shim , Yongsoon Eun , Jin Heon Seo

This paper presents two schemes to jointly estimate parameters and states of discrete-time nonlinear systems in the presence of bounded disturbances and noise and where the parameters belong to a known compact set. The schemes are based on…

Optimization and Control · Mathematics 2022-03-23 T. J. Meijer , V. S. Dolk , M. S. Chong , R. Postoyan , B. de Jager , D. Nešić , W. P. M. H. Heemels

We analyse stability of observability estimates for solutions to wave and Scr\" odinger equations subjected to additive perturbations. The paper generalises the recent averaged observability/control result by allowing for systems consisting…

Analysis of PDEs · Mathematics 2015-02-04 Martin Lazar

Parameter estimation-based observer (PEBO) is a recently developed constructive tool to design state observers for nonlinear systems. It reformulates the state estimation problem as one of online parameter identification, effectively…

Optimization and Control · Mathematics 2026-03-11 Bowen Yi , Leyan Fang , Romeo Ortega