Input-to-state stable nonlinear filtering for a class of continuous-time delayed nonlinear systems

DOI10.1080/00207179.2013.787547zbMath1278.93260OpenAlexW2046095692MaRDI QIDQ2871802

Choon Ki Ahn

Publication date: 9 January 2014

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2013.787547

zbMATH Keywords

linear matrix inequality (LMI)input-to-state stability (ISS)Lyapunov-Krasovskii stability theoryrobust filtering problemdelayed nonlinear system

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stochastic stability in control theory (93E15)

Related Items (8)

Stability of discrete-time stochastic nonlinear systems with event-triggered state-feedback control ⋮ Observer-based output feedback control of discrete-time linear systems with input and output delays ⋮ Adaptive input-to-state stable synchronization for uncertain time-delay Lur’e systems ⋮ Resilient input-to-state stable filter design for nonlinear time-delay systems ⋮ Input-to-state stability of stochastic nonlinear fuzzy Cohen–Grossberg neural networks with the event-triggered control ⋮ Input-to-state stability for discrete-time nonlinear switched singular systems ⋮ Event-triggered fuzzy control of nonlinear systems with its application to inverted pendulum systems ⋮ A new solution to the inducedl_∞finite impulse response filtering problem based on two matrix inequalities

Uses Software

• LMI toolbox

Cites Work

• Switched exponential state estimation of neural networks based on passivity theory
• Passive and exponential filter design for fuzzy neural networks
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• Small-gain theorem for ISS systems and applications
• Linear matrix inequality optimization approach to exponential robust filtering for switched Hopfield neural networks
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• Input-Output-to-State Stability
• The extended Kalman filter as an exponential observer for nonlinear systems
• Further facts about input to state stabilization
• Observer design for discrete and continuous non-linear stochastic systems
• Linear Matrix Inequalities in System and Control Theory
• Robust H/sub ∞/ control of distributed delay systems with application to combustion control
• Separation Principles for Input-Output and Integral-Input-to-State Stability
• Smooth stabilization implies coprime factorization
• A Max-Plus-Based Algorithm for a Hamilton--Jacobi--Bellman Equation of Nonlinear Filtering
• Singular perturbations and input-to-state stability
• Stability of time-delay systems
• Robust Kalman filtering for continuous time-lag systems

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