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We present a computational method for open-loop minimum-norm control synthesis for fixed-endpoint transfer of bilinear ensemble systems that are indexed by two continuously varying parameters. We suppose that one ensemble parameter scales…

Optimization and Control · Mathematics 2024-10-15 Luke S. Baker , Andre Luiz P. de Lima , Anatoly Zlotnik , Jr-Shin Li , Michael J. Martin

In this paper, we propose a filtering algorithm for simultaneously estimating the mode, input and state of hidden mode switched linear stochastic systems with unknown inputs. Using a multiple-model approach with a bank of linear input and…

Optimization and Control · Mathematics 2016-06-28 Sze Zheng Yong , Minghui Zhu , Emilio Frazzoli

This paper discusses a novel initialization algorithm for the estimation of nonlinear state-space models. Good initial values for the model parameters are obtained by identifying separately the linear dynamics and the nonlinear terms in the…

Systems and Control · Computer Science 2018-04-25 A. Marconato , J. Sjöberg , J. A. K. Suykens , J. Schoukens

This paper discusses the solution of nonlinear integral equations with noisy integral kernels as they appear in nonparametric instrumental regression. We propose a regularized Newton-type iteration and establish convergence and convergence…

Numerical Analysis · Mathematics 2015-04-01 Fabian Dunker , Jean-Pierre Florens , Thorsten Hohage , Jan Johannes , Enno Mammen

We investigate the problem of jointly testing two hypotheses and estimating a random parameter based on data that is observed sequentially by sensors in a distributed network. In particular, we assume the data to be drawn from a Gaussian…

Signal Processing · Electrical Eng. & Systems 2020-03-04 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

The steady-state Bayesian vector autoregression (BVAR) makes it possible to incorporate prior information about the long-run mean of the process. This has been shown in many studies to substantially improve forecasting performance, and the…

Computation · Statistics 2025-06-12 Oskar Gustafsson , Mattias Villani

In this paper we consider a linearized variable-time-step two-step backward differentiation formula (BDF2) scheme for solving nonlinear parabolic equations. The scheme is constructed by using the variable time-step BDF2 for the linear term…

Numerical Analysis · Mathematics 2025-08-29 Chengchao Zhao , Nan Liu , Yuheng Ma , Jiwei Zhang

The paper considers the observer synthesis for nonlinear, time-varying plants with uncertain parameters under multiharmonic disturbance. It is assumed that the relative degree of the plant is known, the regressor linearly depends on the…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Alexey A. Margun , Van H. Bui , Alexey A. Bobtsov , Denis V. Efimov

We incorporate discrete and continuous time Markov processes as building blocks into probabilistic graphical models with latent and observed variables. We introduce the automatic Backward Filtering Forward Guiding (BFFG) paradigm (Mider et…

Computation · Statistics 2022-11-02 Frank van der Meulen , Moritz Schauer

We consider state and parameter estimation for a dynamical system having both time-varying and time-invariant parameters. It has been shown that the robustness of the Markov Chain Monte Carlo (MCMC) algorithm for estimating time-invariant…

Computational Engineering, Finance, and Science · Computer Science 2022-10-18 Philippe Bisaillon , Brandon Robinson , Mohammad Khalil , Chris L. Pettit , Dominique Poirel , Abhijit Sarkar

An incremental/online state dynamic learning method is proposed for identification of the nonlinear Gaussian state space models. The method embeds the stochastic variational sparse Gaussian process as the probabilistic state dynamic model…

Machine Learning · Statistics 2016-08-31 Vahid Bastani , Lucio Marcenaro , Carlo Regazzoni

In this paper, we present an optimal filter for linear time-varying continuous-time stochastic systems that simultaneously estimates the states and unknown inputs in an unbiased minimum-variance sense. We first show that the unknown inputs…

Optimization and Control · Mathematics 2016-11-17 Sze Zheng Yong , Minghui Zhu , Emilio Frazzoli

Motivated by various distributed control applications, we consider a linear system with Gaussian noise observed by multiple sensors which transmit measurements over a dynamic lossy network. We characterize the stationary optimal sensor…

Systems and Control · Electrical Eng. & Systems 2021-01-11 Hassan Hmedi , Johnson Carroll , Ari Arapostathis

In this paper we study the question of how to reconstruct the state of a power system using Phasor Measurement Units (PMUs). In our previous research we proved that this question has an affirmative answer imposing some rather strict…

Systems and Control · Electrical Eng. & Systems 2024-10-08 Alexey Bobtsov , Romeo Ortega , Nicolai Lorenz-Meyer , Johannes Schiffer

This paper considers a time-varying vector error-correction model that allows for different time series behaviours (e.g., unit-root and locally stationary processes) to interact with each other to co-exist. From practical perspectives, this…

Econometrics · Economics 2023-05-30 Jiti Gao , Bin Peng , Yayi Yan

The Bregman-Kaczmarz method is an iterative method which can solve strongly convex problems with linear constraints and uses only one or a selected number of rows of the system matrix in each iteration, thereby making it amenable for…

Optimization and Control · Mathematics 2023-07-31 Dirk A. Lorenz , Maximilian Winkler

This paper addresses the problem of state and parameter estimation for a class of second-order systems with single output. A new filtered transformation is proposed for the system via dynamic vector and matrix. In this method, the dynamics…

Systems and Control · Computer Science 2018-03-14 Mehdi Tavan , Kamel Sabahi , Saeid Hoseinzadeh

In this paper, we address the efficient implementation of moving horizon state estimation of constrained discrete-time linear systems. We propose a novel iteration scheme which employs a proximity-based formulation of the underlying…

Optimization and Control · Mathematics 2021-11-09 Meriem Gharbi , Bahman Gharesifard , Christian Ebenbauer

We propose a novel method for maximum likelihood-based parameter inference in nonlinear and/or non-Gaussian state space models. The method is an iterative procedure with three steps. At each iteration a particle filter is used to estimate…

Computation · Statistics 2016-03-22 Johan Dahlin , Fredrik Lindsten

We study the impact of eccentricity on gravitational-wave parameter estimation for binary neutron star systems. For signals with small eccentricity injected into the advanced LIGO sensitivity, we perform Bayesian parameter estimation using…

General Relativity and Quantum Cosmology · Physics 2022-06-13 Hee-Suk Cho