Combination of functional and disturbance observer for positive systems with disturbances

L Huang, X Zhao, F Lin, J Zhang - Mathematics, 2022 - mdpi.com
This technique note proposes two classes of functional and disturbance observers for
positive systems with structural and non-structural disturbances, respectively. A positive …

Detectability of Boolean networks with disturbance inputs

B Wang, J Feng - Systems & Control Letters, 2020 - Elsevier
This paper concerns the detectability problem of Boolean networks with disturbance inputs
using the semi-tensor product approach. Detectability like observability describes the ability …

Observability for Nonlinear Systems: Connecting Variational Dynamics, Lyapunov Exponents, and Empirical Gramians

MH Kazma, AF Taha - arXiv preprint arXiv:2402.14711, 2024 - arxiv.org
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 …

Detectability of linear stochastic impulsive systems with state-dependent noises

S Luo, X Chen, F Deng, Y Jiang - Systems & Control Letters, 2025 - Elsevier
This paper focuses on the characterization of moment detectability and almost sure
detectability for linear stochastic impulsive systems. The concepts and characterizations of …

Stability And Uncertainty Propagation In Power Networks: A Lyapunov-based Approach With Applications To Renewable Resources Allocation

M Kazma, AF Taha - arXiv preprint arXiv:2405.05028, 2024 - arxiv.org
The rapid increase in the integration of intermittent and stochastic renewable energy
resources (RER) introduces challenging issues related to power system stability …

Adaptive observer of state variables of a nonlinear time varying system with unknown constant parameters

O Kozachek, A Bobtsov, N Nikolaev - arXiv preprint arXiv:2305.15504, 2023 - arxiv.org
The paper proposes an adaptive observer of the state vector of a nonlinear time varying
system based on measurements of the output variable. The problem is solved under the …

[HTML][HTML] Strong∗ detectability and observers for linear time-varying systems

M Tranninger, R Seeber, JG Rueda-Escobedo… - Systems & Control …, 2022 - Elsevier
This work presents a notion of strong detectability for linear time-varying systems affected by
unknown inputs. It is shown that this notion is equivalent to detectability of an auxiliary …

Detectability Conditions and State Estimation for Linear Time-Varying and Nonlinear Systems

M Tranninger, R Seeber, M Steinberger, M Horn… - SIAM Journal on Control …, 2022 - SIAM
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 …

[HTML][HTML] On the numerical integration of the Lorenz-96 model, with scalar additive noise, for benchmark twin experiments

C Grudzien, M Bocquet… - Geoscientific Model …, 2020 - gmd.copernicus.org
Relatively little attention has been given to the impact of discretization error on twin
experiments in the stochastic form of the Lorenz-96 equations when the dynamics are fully …

Uniform detectability of linear time varying systems with exponential dichotomy

M Tranninger, R Seeber… - IEEE Control Systems …, 2020 - ieeexplore.ieee.org
Exponential dichotomies play a central role in stability theory for dynamical systems. They
allow to split the state space into two subspaces, where all trajectories in one subspace …