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We develop a formal framework for the behavioral comparison of linear systems across different time domains. We accomplish this by introducing the notion of system interpolation, which determines whether the input-state trajectories of a…

Optimization and Control · Mathematics 2026-02-26 Armin Pirastehzad , Bart Besselink

A high-gain extended observer is designed for a class of nonlinear uncertain systems. This observer has the ability of estimating system uncertainty, and it can be used to estimate the derivatives of signal up to order n. The controller…

Systems and Control · Electrical Eng. & Systems 2023-02-13 Xinhua Wang , Zengqiang Chen , Zhuzhi Yuan

The deadbeat synchronization of identical discrete-time nonlinear systems is studied from a geometric point of view. An array of deadbeat observers coupled via a deadbeat interconnection is shown to achieve synchronization in finite number…

Dynamical Systems · Mathematics 2012-12-04 S. Emre Tuna

We present a new domain-agnostic synthesis technique for generating programs from input-output examples. Our method, called metric program synthesis, relaxes the well-known observational equivalence idea (used widely in bottom-up…

Programming Languages · Computer Science 2022-10-12 John Feser , Isil Dillig , Armando Solar-Lezama

This paper considers the observer design problem for discrete-time nonlinear dynamical systems with sampled measurement data. Earlier, the recently proposed Iteratively Preconditioned Gradient-Descent (IPG) observer, a Newton-type observer,…

Optimization and Control · Mathematics 2024-10-29 Kushal Chakrabarti , Nikhil Chopra

In this paper we investigate multi-agent discrete-event systems with partial observation. The agents can be divided into several groups in each of which the agents have similar (isomorphic) state transition structures, and thus can be…

Systems and Control · Electrical Eng. & Systems 2021-03-22 Yingying Liu , Jan Komenda , Zhiwu Li

This paper investigates the problem of consensus-based distributed control of linear time-invariant multi-channel systems subject to unknown inputs. A distributed observer-based control framework is proposed, within which observer nodes and…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Ganghui Cao , Xunyuan Yin

This paper shows how the theory of nonlinear adaptive observers can be effectively used in the design of internal models for nonlinear output regulation. The theory substantially enhances the existing results in the context of {\em…

Optimization and Control · Mathematics 2007-05-23 Francesco Delli Priscoli , Lorenzo Marconi , Alberto Isidori

In this paper, an adaptive observer is proposed for multi-input multi-output (MIMO) discrete-time linear time-invariant (LTI) systems. Unlike existing MIMO adaptive observer designs, the proposed approach is applicable to LTI systems in…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Anchita Dey , Shubhendu Bhasin

In this paper, we propose a new approach to prove stability of non-linear discrete-time systems. After introducing the new concept of stability contractor, we show that the interval centred form plays a fundamental role in this context and…

Systems and Control · Electrical Eng. & Systems 2021-01-15 Auguste Bourgois , Luc Jaulin

This work deals with the problem of designing disturbance decupled observers for the estimation of a function of the states in nonlinear systems. Necessary and sufficient conditions for the existence of lower order disturbance decoupled…

Optimization and Control · Mathematics 2023-07-19 Sunjeev Venkateswaran , Costas Kravaris

In this paper, we deal with the problem of the stabilization in the sample-and-hold sense, by emulation of continuous-time, observer-based, global stabilizers. Fully nonlinear time-delay systems are studied. Sufficient conditions are…

Systems and Control · Computer Science 2018-02-28 Mario Di Ferdinando , Pierdomenico Pepe

This paper discusses a general framework for designing robust state estimators for a class of discrete-time nonlinear systems. We consider systems that may be impacted by impulsive (sparse but otherwise arbitrary) measurement noise…

Optimization and Control · Mathematics 2026-05-13 Laurent Bako , Madiha Nadri , Vincent Andrieu , Qinghua Zhang

This paper presents a dynamic state observer design for discrete-time linear time-varying systems that robustly achieves equalized recovery despite delayed or missing observations, where the set of all temporal patterns for the missing or…

Systems and Control · Electrical Eng. & Systems 2021-01-12 Syed M. Hassaan , Qiang Shen , Sze Zheng Yong

The robust distributed state estimation for a class of continuous-time linear time-invariant systems is achieved by a novel kernel-based distributed observer, which, for the first time, ensures fixed-time convergence properties. The…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Pudong Ge , Peng Li , Boli Chen , Fei Teng

Dynamic feedback linearization-based methods allow us to design control algorithms for a fairly large class of nonlinear systems in continuous time. However, this feature does not extend to their sampled counterparts, i.e., for a given…

Systems and Control · Electrical Eng. & Systems 2024-06-04 Ashutosh Jindal , Florentina Nicolau , David Martin Diego , Ravi Banavar

A new adaptive observer is proposed for a certain class of nonlinear systems with bounded unknown input and parametric uncertainty. Unlike most existing solutions, the proposed approach ensures asymptotic convergence of the unknown…

Systems and Control · Electrical Eng. & Systems 2024-03-21 Anton Glushchenko , Konstantin Lastochkin

This paper addresses optimal feedback stabilizing control for bounded Jacobian nonlinear discrete-time (DT) systems with nonlinear observations, affected by state and process noise. Instead of directly stabilizing the uncertain system, we…

Systems and Control · Electrical Eng. & Systems 2024-10-15 Mohammad Khajenejad

This paper proposes a new extended-state observer-based framework for adaptive nonlinear regulator design of a class of nonlinear systems, in the general nonequilibrium theory. By augmenting an extended-state observer with an internal…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Lei Wang , Christopher M. Kellett

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…

Systems and Control · Electrical Eng. & Systems 2026-02-04 Nico Holzinger , Matthias Althoff
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