Detectability Conditions and State Estimation for Linear Time-Varying and Nonlinear Systems
DOI10.1137/21M1429473zbMath1498.93066arXiv2106.13461OpenAlexW3173232592MaRDI QIDQ5097395
Martin Horn, Martin Steinberger, Markus Tranninger, Richard Seeber, Christian Poetzsche
Publication date: 23 August 2022
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.13461
Nonlinear systems in control theory (93C10) Linear systems in control theory (93C05) Observability (93B07) Control/observation systems governed by ordinary differential equations (93C15) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)
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Cites Work
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- On asymptotic stability of linear time-varying systems
- Detectability of Boolean networks with disturbance inputs
- SVD algorithms to approximate spectra of dynamical systems
- Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
- Normalized coprime factorizations for linear time-varying systems
- A spectral theory for linear differential systems
- Dichotomies in stability theory
- An EKF-based nonlinear observer with a prescribed degree of stability
- Matrix Riccati equations in control and systems theory
- Observer design for a class of MIMO nonlinear systems.
- The synchronization of chaotic systems
- The Bohl spectrum for linear nonautonomous differential equations
- Asymptotic properties of linear filter for deterministic processes
- Global theory of the Riccati equation
- The Riccati equation and its bounds
- Lyapunov and Sacker-Sell spectral intervals
- Lyapunov vectors and assimilation in the unstable subspace: theory and applications
- A Contraction Theory-Based Analysis of the Stability of the Deterministic Extended Kalman Filter
- On Stability of a Class of Filters for Nonlinear Stochastic Systems
- Canonical form observer design for non-linear time-variable systems
- Ergodic Properties of Linear Dynamical Systems
- A simple observer for nonlinear systems applications to bioreactors
- Unitary Integrators and Applications to Continuous Orthonormalization Techniques
- Nonlinear observers for locally uniformly observable systems
- Synchronization of chaotic systems
- Asymptotic Forecast Uncertainty and the Unstable Subspace in the Presence of Additive Model Error
- Lyapunov Spectral Intervals: Theory and Computation
- Synchronization of chaotic systems: Transverse stability of trajectories in invariant manifolds
- Fundamentals of synchronization in chaotic systems, concepts, and applications
- High Gain Observer for Structured Multi-Output Nonlinear Systems
- Data assimilation as a nonlinear dynamical systems problem: Stability and convergence of the prediction-assimilation system
- Degenerate Kalman Filter Error Covariances and Their Convergence onto the Unstable Subspace
- Data Assimilation
- On a Matrix Riccati Equation of Stochastic Control
- Dichotomy spectrum for nonautonomous differential equations
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