Detectability analysis and observer design for linear time varying systems
This letter presents a new detectability criterion and a new observer design method for a
class of linear time varying systems. The concept is based on the stabilization of the system's …
class of linear time varying systems. The concept is based on the stabilization of the system's …
Chaotic dynamics and the role of covariance inflation for reduced rank Kalman filters with model error
C Grudzien, A Carrassi… - Nonlinear Processes in …, 2018 - npg.copernicus.org
The ensemble Kalman filter and its variants have shown to be robust for data assimilation in
high dimensional geophysical models, with localization, using ensembles of extremely small …
high dimensional geophysical models, with localization, using ensembles of extremely small …
Observability for Nonlinear Systems: Connecting Variational Dynamics, Lyapunov Exponents, and Empirical Gramians
Observability is a key problem in dynamic network sciences. While it has been thoroughly
studied for linear systems, observability for nonlinear networks is less intuitive and more …
studied for linear systems, observability for nonlinear networks is less intuitive and more …
Asymptotic forecast uncertainty and the unstable subspace in the presence of additive model error
It is well understood that dynamic instability is among the primary drivers of forecast
uncertainty in chaotic, physical systems. Data assimilation techniques have been designed …
uncertainty in chaotic, physical systems. Data assimilation techniques have been designed …
Stability and Uncertainty Propagation in Power Networks: A Lyapunov-based Approach with applications to Renewable Resources Allocation
MH Kazma, AF Tah - IEEE Transactions on Power Systems, 2025 - ieeexplore.ieee.org
The rapid increase in the integration of intermittent and stochastic renewable energy
resources (RER) introduces challenging issues related to power system stability …
resources (RER) introduces challenging issues related to power system stability …
Particle filters for data assimilation based on reduced‐order data models
J Maclean, ES Van Vleck - Quarterly Journal of the Royal …, 2021 - Wiley Online Library
We introduce a framework for data assimilation (DA) in which the data is split into multiple
sets corresponding to low‐rank projections of the state space. Algorithms are developed that …
sets corresponding to low‐rank projections of the state space. Algorithms are developed that …
Sliding mode tangent space observer for LTV systems with unknown inputs
This paper presents a cascaded observer structure for linear time varying systems which
yields finite-time exact state estimates despite an unknown input. The observer is based on …
yields finite-time exact state estimates despite an unknown input. The observer is based on …
A unified framework for the analysis of accuracy and stability of a class of approximate Gaussian filters for the Navier-Stokes Equations
A Biswas, M Branicki - arxiv preprint arxiv:2402.14078, 2024 - arxiv.org
Bayesian state estimation of a dynamical system utilising a stream of noisy measurements is
important in many geophysical and engineering applications. We establish rigorous results …
important in many geophysical and engineering applications. We establish rigorous results …
Non-Uniform Stability, Detectability, and, Sliding Mode Observer Design for Time Varying Systems with Unknown Inputs
This paper discusses stability and robustness properties of a recently proposed observer
algorithm for linear time varying systems. The observer is based on the approximation and …
algorithm for linear time varying systems. The observer is based on the approximation and …
Detectability Conditions and State Estimation for Linear Time-Varying and Nonlinear Systems
This work proposes a detectability condition for linear time-varying systems based on the
exponential dichotomy spectrum. The condition guarantees the existence of an observer …
exponential dichotomy spectrum. The condition guarantees the existence of an observer …