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We introduce a simple method to estimate the system parameters in continuous dynamical systems from the time series. In this method, we construct a modified system by introducing some constants (controlling constants) into the given…

Chaotic Dynamics · Physics 2009-11-10 P. Palaniyandi , M. Lakshmanan

We study the numerical solution of nonlinear partially observed optimal stopping problems. The system state is taken to be a multi-dimensional diffusion and drives the drift of the observation process, which is another multi-dimensional…

Optimization and Control · Mathematics 2010-01-20 Mike Ludkovski

Focusing on identification, this paper develops techniques to reconstruct zero and nonzero elements of a sparse parameter vector of a stochastic dynamic system under feedback control, for which the current input may depend on the past…

Systems and Control · Electrical Eng. & Systems 2019-09-04 Wenxiao Zhao , George G. Yin , Er-Wei Bai

This study presents a Bayesian maximum \textit{a~posteriori} (MAP) framework for dynamical system identification from time-series data. This is shown to be equivalent to a generalized Tikhonov regularization, providing a rational…

Methodology · Statistics 2024-08-29 Robert K. Niven , Laurent Cordier , Ali Mohammad-Djafari , Markus Abel , Markus Quade

We provide an algorithm for the simultaneous system identification and model predictive control of nonlinear systems. The algorithm has finite-time near-optimality guarantees and asymptotically converges to the optimal (non-causal)…

Robotics · Computer Science 2025-11-04 Hongyu Zhou , Vasileios Tzoumas

We describe a method for the identification of models for dynamical systems from observational data. The method is based on the concept of symbolic regression and uses genetic programming to evolve a system of ordinary differential…

Machine Learning · Computer Science 2021-07-14 Gabriel Kronberger , Lukas Kammerer , Michael Kommenda

Dynamical systems are frequently used to model biological systems. When these models are fit to data it is necessary to ascertain the uncertainty in the model fit. Here we present prediction deviation, a new metric of uncertainty that…

Applications · Statistics 2017-06-08 Benjamin Letham , Portia A. Letham , Cynthia Rudin , Edward P. Browne

In this article, variational state estimation is examined from the dynamic programming perspective. This leads to two different value functional recursions depending on whether backward or forward dynamic programming is employed. The result…

Methodology · Statistics 2025-12-17 Filip Tronarp

This paper studies the identification of nonlinearly parameterized control systems in given experiments. Several identifiability criteria are established and an implementable algorithm is proposed for practicality with the convergence rate…

Optimization and Control · Mathematics 2019-08-21 Chanying Li

Simulation-based verification algorithms can provide formal safety guarantees for nonlinear and hybrid systems. The previous algorithms rely on user provided model annotations called discrepancy function, which are crucial for computing…

Systems and Control · Computer Science 2015-02-09 Chuchu Fan , Sayan Mitra

Stochastic dynamical systems are ubiquitous in physics, biology, and engineering, where both deterministic drifts and random fluctuations govern system behavior. Learning these dynamics from data is particularly challenging in…

Numerical Analysis · Mathematics 2026-03-10 Ziheng Guo , Igor Cialenco , Ming Zhong

In this paper we develop a method for learning nonlinear systems with multiple outputs and inputs. We begin by modelling the errors of a nominal predictor of the system using a latent variable framework. Then using the maximum likelihood…

Machine Learning · Statistics 2018-05-28 Per Mattsson , Dave Zachariah , Petre Stoica

Identifying tire and vehicle parameters is an essential step in designing control and planning algorithms for autonomous vehicles. This paper proposes a new method: Simulation-Based Inference (SBI), a modern interpretation of Approximate…

Robotics · Computer Science 2021-08-30 Ali Boyali , Simon Thompson , David Robert Wong

Gradient matching is a promising tool for learning parameters and state dynamics of ordinary differential equations. It is a grid free inference approach, which, for fully observable systems is at times competitive with numerical…

Machine Learning · Statistics 2018-04-11 Nico S. Gorbach , Stefan Bauer , Joachim M. Buhmann

This paper shows how the variational Bayes method provides a computational efficient technique in the context of hierarchical modelling using Dirichlet process priors, in particular without requiring conjugate prior assumption. It shows,…

Computation · Statistics 2013-09-23 Hui Zhao , Paul Marriott

In control and engineering community, models generally contain a number of parameters which are unknown or roughly known. A complete knowledge of these parameters is critical to describe and analyze the dynamics of the system. This paper…

Optimization and Control · Mathematics 2015-01-30 Fei Sun , Kamran Turkoglu

This paper addresses a system identification for linear periodically time-varying plants in the discrete-time setting. A system identification algorithm for linear, periodically time-varying plants is introduced based on a cyclic…

Systems and Control · Electrical Eng. & Systems 2025-02-17 Hiroshi Okajima , Yusuke Fujimoto , Hiroshi Oku , Haruto Kondo

The paper studies identification of linear systems with multiplicative noise from multiple-trajectory data. An algorithm based on the least-squares method and multiple-trajectory data is proposed for joint estimation of the nominal system…

Systems and Control · Electrical Eng. & Systems 2022-06-07 Yu Xing , Benjamin Gravell , Xingkang He , Karl Henrik Johansson , Tyler Summers

This paper investigates the effects of setting the sampling frequency significantly higher than conventional guidelines in system identification. Although continuous-time identification methods resolve the numerical difficulties encountered…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Ichiro Maruta , Toshiharu Sugie

This work presents an algorithm for determining the parameters of a nonlinear dynamic model of the respiratory system in patients undergoing assisted ventilation. Using the pressure and flow signals measured at the mouth, the model's…

Systems and Control · Electrical Eng. & Systems 2024-03-01 Diego A. Riva , Carolina A. Evangelista , Paul F. Puleston , Luis Corsiglia , Nahuel Dargains