A modified Kalman filter algorithm for fractional system under Lévy noises
From MaRDI portal
Publication:1660445
DOI10.1016/j.jfranklin.2015.02.008zbMath1395.93551OpenAlexW1966532243MaRDI QIDQ1660445
Yonghui Sun, Wenjie Yu, Ming Ni, Xiaopeng Wu, Zigang Lu, Zhinong Wei
Publication date: 16 August 2018
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfranklin.2015.02.008
Filtering in stochastic control theory (93E11) Design techniques (robust design, computer-aided design, etc.) (93B51) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Fractional derivatives and integrals (26A33)
Related Items
The Riesz integral and an \(L^ p-L^ q\) estimate for the Cauchy problem of the wave operator ⋮ Tobit Kalman filtering for fractional‐order systems with stochastic nonlinearities under Round‐Robin protocol ⋮ Stability and Hopf bifurcation of fractional complex-valued BAM neural networks with multiple time delays ⋮ Fractional-order Kalman filters for continuous-time fractional-order systems involving colored process and measurement noises ⋮ Fractional-order Kalman filters for continuous-time linear and nonlinear fractional-order systems using Tustin generating function ⋮ Bifurcations in a delayed fractional complex-valued neural network ⋮ Robust extended fractional Kalman filter for nonlinear fractional system with missing measurements ⋮ Extended Kalman filters for fractional‐order nonlinear continuous‐time systems containing unknown parameters with correlated colored noises ⋮ Cubature Kalman filters for nonlinear continuous-time fractional-order systems with uncorrelated and correlated noises ⋮ Reduced order Kalman filter for a continuous-time fractional-order system using fractional-order average derivative
Cites Work
- \(\mathcal{H}_\infty\) filtering for a class of discrete-time switched fuzzy systems
- Robust stability analysis for a class of fractional order systems with uncertain parameters
- Improved fractional Kalman filter and its application to estimation over lossy networks
- Initial value problems for arbitrary order fractional differential equations with delay
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Stability of stochastic neural networks of neutral type with Markovian jumping parameters: a delay-fractioning approach
- Fractional-order diffusion-wave equation
- On the fractional-order extended Kalman filter and its application to chaotic cryptography in noisy environment
- Stability analysis of fractional-order Hopfield neural networks with time delays
- Robust filtering with stochastic nonlinearities and multiple missing measurements
- Quantised recursive filtering for a class of nonlinear systems with multiplicative noises and missing measurements
- State estimation for two-dimensional complex networks with randomly occurring nonlinearities and randomly varying sensor delays
- Lévy Processes and Stochastic Calculus
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- On Nonlinear $H_{\infty }$ Filtering for Discrete-Time Stochastic Systems With Missing Measurements
- State estimation under non-Gaussian Lévy noise: A modified Kalman filtering method
- An Algorithm for Stabilization of Fractional-Order Time Delay Systems Using Fractional-Order PID Controllers
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
