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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…

Systems and Control · Electrical Eng. & Systems 2020-12-01 Michelangelo Bin , Lorenzo Marconi

The convergence properties of adaptive systems in terms of excitation conditions on the regressor vector are well known. With persistent excitation of the regressor vector in model reference adaptive control the state error and the…

Optimization and Control · Mathematics 2015-11-11 Benjamin M. Jenkins , Anuradha M. Annaswamy , Eugene Lavretsky , Travis E. Gibson

In this paper we propose a new parameter estimator that ensures global exponential convergence of linear regression models requiring only the necessary assumption of identifiability of the regression equation,which we show is equivalent to…

Systems and Control · Electrical Eng. & Systems 2021-08-20 Lei Wang , Romeo Ortega , Alexey Bobtsov , Jose Guadalupe Romero , Bowen Yi

This article deals with input-to-state stability (ISS) of continuous-time switched nonlinear systems. Given a family of systems with exogenous inputs such that not all systems in the family are ISS, we characterize a new and general class…

Systems and Control · Computer Science 2017-11-27 Atreyee Kundu , Debasish Chatterjee , Daniel Liberzon

From the structural perspective, this paper investigates a new formulation of the concept of input-to-state stability (ISS), and based on this formulation, proposes a new stability analysis approach for a class of interconnected system. The…

Systems and Control · Computer Science 2015-05-05 Yong Wang

We consider an adaptive finite element method with arbitrary but fixed polynomial degree $p \ge 1$, where adaptivity is driven by an edge-based residual error estimator. Based on the modified maximum criterion from [Diening et al, Found.…

Numerical Analysis · Mathematics 2021-01-29 Michael Innerberger , Dirk Praetorius

This paper deals with the analysis of input/output-to-state stability (IOSS) and construction of state-norm estimators for continuous-time switched nonlinear systems under restricted switching. Our contributions are twofold. First, given a…

Optimization and Control · Mathematics 2024-04-25 Atreyee Kundu

The problem of finding the expected value of a statistic of a locally stable point process in a bounded region is addressed. We propose an adaptive importance sampling for solving the problem. In our proposal, we restrict the importance…

Machine Learning · Statistics 2025-03-04 Hee-Geon Kang , Sunggon Kim

In this paper, a concurrent learning based adaptive observer is developed for a class of second-order linear time-invariant systems with uncertain system matrices. The developed technique yields an exponentially convergent state estimator…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar

Input-to-state stability (ISS) allows estimating the impact of inputs and initial conditions on both the intermediate values and the asymptotic bound on the solutions. ISS has unified the input-output and Lyapunov stability theories and is…

Optimization and Control · Mathematics 2023-02-02 Andrii Mironchenko

Adaptive inference is a promising technique to improve the computational efficiency of deep models at test time. In contrast to static models which use the same computation graph for all instances, adaptive networks can dynamically adjust…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Hao Li , Hong Zhang , Xiaojuan Qi , Ruigang Yang , Gao Huang

This paper addresses characterizations of integral input-to-state stability (iISS) for hybrid systems. In particular, we give a Lyapunov characterization of iISS unifying and generalizing the existing theory for pure continuous-time and…

Dynamical Systems · Mathematics 2017-12-15 Navid Noroozi , Alireza Khayatian , Roman Geiselhart

The paper introduces sufficient conditions for input-to-state stability (ISS) of a class of impulsive systems with jump maps that depend on time. Such systems can naturally represent an interconnection of several impulsive systems with…

Systems and Control · Computer Science 2016-05-30 Sergey Dashkovskiy , Petro Feketa

This article deals with input-to-state stability (ISS) of discrete-time switched systems. Given a family of nonlinear systems with exogenous inputs, we present a class of switching signals under which the resulting switched system is ISS.…

Systems and Control · Computer Science 2017-11-27 Atreyee Kundu , Debasish Chatterjee

This paper aims first at a simultaneous axiomatic presentation of the proof of optimal convergence rates for adaptive finite element methods and second at some refinements of particular questions like the avoidance of (discrete) lower…

Numerical Analysis · Mathematics 2014-03-14 Carsten Carstensen , Michael Feischl , Marcus Page , Dirk Praetorius

Effective containment of spreading processes such as epidemics requires accurate knowledge of several key parameters that govern their dynamics. In this work, we first show that the problem of identifying the underlying parameters of…

Systems and Control · Electrical Eng. & Systems 2023-11-03 Chi Ho Leung , William E. Retnaraj , Ashish R. Hota , Philip E. Paré

We consider a streaming signal in which each sample is linked to a latent class. We assume that multiple classifiers are available, each providing class probabilities with varying degrees of accuracy. These classifiers are employed…

Signal Processing · Electrical Eng. & Systems 2025-09-18 Ilker Bayram

A notion of detectability for nonlinear systems is discussed. Within the framework of ``input to state stability'' (ISS), a dual notion of ``output to state stability'' (OSS), and a more complete detectability notion, ``input-output to…

Optimization and Control · Mathematics 2007-05-23 Brian Ingalls

We provide a Lyapunov-function-based method for establishing different types of uniform input-to-state stability (ISS) for time-varying impulsive systems. The method generalizes to impulsive systems with inputs the well-established…

Systems and Control · Computer Science 2020-08-14 Jose L. Mancilla-Aguilar , Hernan Haimovich

This paper considers a simulation-based estimator for a general class of Markovian processes and explores some strong consistency properties of the estimator. The estimation problem is defined over a continuum of invariant distributions…

Probability · Mathematics 2010-01-14 Manuel S. Santos
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