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This paper addresses the stabilization of linear systems with multiple time-varying input delays. In scenarios where neither the exact delays information nor their bound is known, we propose a class of linear time-varying state feedback…

Dynamical Systems · Mathematics 2025-05-01 Bin Zhou , Kai Zhang

Inference for streaming time-series is tightly coupled with the problem of Bayesian on-line state and parameter inference. In this paper we will introduce Dynamic Generalised Linear Models, the class of models often chosen to model…

Computation · Statistics 2016-09-01 Rui Vieira , Darren J. Wilkinson

A parameter estimation method is devised for a slow-fast stochastic dynamical system, where often only the slow component is observable. By using the observations only on the slow component, the system parameters are estimated by working on…

Dynamical Systems · Mathematics 2013-03-20 Jian Ren , Jinqiao Duan

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

In this note, analysis of time delay systems using Lambert W function approach is reassessed. A common canonical form of time delay systems is defined. We extended the recent results of [6] for second order into nth order system. The…

Systems and Control · Computer Science 2017-09-05 Niraj Choudhary , Janardhanan Sivaramakrishnan , Indra Narayan Kar

This paper presents a low-dimensional observer design for stable, single-input single-output, continuous-time linear time-invariant (LTI) systems. Leveraging the model reduction by moment matching technique, we approximate the system with a…

Systems and Control · Electrical Eng. & Systems 2025-08-04 M. F. Shakib , M. Khalil , R. Postoyan

We propose an SDP-based framework to address the stabilization of input delay systems while taking into account dissipative constraints. A key to our approach is the introduction of the concept of parameterized linear dynamical state…

Optimization and Control · Mathematics 2025-12-02 Qian Feng , Cong Zhang , Bo Wei

Observability of state variables and parameters of a dynamical system from an observed time series is analyzed and quantified by means of the Jacobian matrix of the delay coordinates map. For each state variable and each parameter to be…

Chaotic Dynamics · Physics 2015-07-10 Ulrich Parlitz , Jan Schumann-Bischoff , Stefan Luther

This work studies remote state estimation of multiple linear time-invariant systems over shared wireless time-varying communication channels. We model the channel states by a semi-Markov process which captures both the random holding period…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Wanchun Liu , Daniel E. Quevedo , Branka Vucetic , Yonghui Li

This paper considers the problem of computing Bayesian estimates of both states and model parameters for nonlinear state-space models. Generally, this problem does not have a tractable solution and approximations must be utilised. In this…

Machine Learning · Statistics 2020-12-15 Jarrad Courts , Johannes Hendriks , Adrian Wills , Thomas Schön , Brett Ninness

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

Verification of temporal logic properties plays a crucial role in proving the desired behaviors of hybrid systems. In this paper, we propose an interval method for verifying the properties described by a bounded linear temporal logic. We…

Logic in Computer Science · Computer Science 2015-07-15 Daisuke Ishii , Naoki Yonezaki , Alexandre Goldsztejn

We provide two solutions to the heretofore open problem of stabilization of systems with arbitrarily long delays at the input and output of a nonlinear system using output feedback only. Both of our solutions are global, employ the…

Optimization and Control · Mathematics 2011-08-24 Iasson Karafyllis , Miroslav Krstic

We consider state-dependent delay equations (SDDE) obtained by adding delays to a planar ordinary differential equation with a limit cycle. These situations appear in models of several physical processes, where small delay effects are…

Dynamical Systems · Mathematics 2021-08-13 Jiaqi Yang , Joan Gimeno , Rafael de la Llave

This article addresses the problem of state observer design for continuous-time linear positive networked systems. Considering the bandwidth constraint in the communication network, an event-measurement-based positive observer design is…

Systems and Control · Electrical Eng. & Systems 2025-08-06 Bhargavi Chaudhary , Krishanu Nath , Subashish Datta , Indra Narayan Kar

This paper studies the problem of designing sampled-data observers and observer-based, sampled-data, output feedback stabilizers for systems with both discrete and distributed, state and output time-delays. The obtained results can be…

Optimization and Control · Mathematics 2019-07-17 Tarek Ahmed-Ali , Iasson Karafyllis , Fouad Giri

In this paper, we address the problem of stabilization in continuous time linear dynamical systems using state feedback when compressive sampling techniques are used for state measurement and reconstruction. In [5], we had introduced the…

Optimization and Control · Mathematics 2011-10-18 Kang Kang , Sourabh Bhattacharya , Tamer Basar

This paper presents a delay-dependent parameter-varying control design approach to address the automated blood pressure regulation problem in the critical patient resuscitation using closed-loop administration of vasopressors. The mean…

Systems and Control · Electrical Eng. & Systems 2019-10-03 Shahin Tasoujian , Karolos Grigoriadis , Matthew Franchek

Delays are ubiquitous in applied problems, but often do not arise as the simple constant discrete delays that analysts and numerical analysts like to treat. In this chapter we show how state-dependent delays arise naturally when modeling…

Dynamical Systems · Mathematics 2025-11-11 A. R. Humphries , A. S. Eremin , Z. Wang

This paper considers the problem of data-driven prediction of partially observed systems using a recurrent neural network. While neural network based dynamic predictors perform well with full-state training data, prediction with partial…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Debdipta Goswami
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