Robust distributed state estimation for genetic regulatory networks with Markovian jumping parameters

DOI10.1016/j.cnsns.2011.02.009zbMath1223.92019OpenAlexW2086393834MaRDI QIDQ634237

Bei Lv, Jinling Liang, Cao, Jinde

Publication date: 2 August 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.02.009

zbMATH Keywords

linear matrix inequalities (LMIs)time-varying delaysMarkovian processmultiple sensors

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Probabilistic models, generic numerical methods in probability and statistics (65C20) Dynamical systems in biology (37N25) Miscellaneous inequalities involving matrices (15A45) Qualitative investigation and simulation of ordinary differential equation models (34C60) Systems biology, networks (92C42)

Related Items (max. 100)

Mean square state estimation for sensor networks ⋮ State estimation for delayed genetic regulatory networks based on passivity theory ⋮ Stability analysis of the differential genetic regulatory networks model with time-varying delays and Markovian jumping parameters ⋮ Generalized dissipativity state estimation for genetic regulatory networks with interval time-delay signals and leakage delays ⋮ Approximation of state variables for discrete-time stochastic genetic regulatory networks with leakage, distributed, and probabilistic measurement delays: a robust stability problem ⋮ Robust state estimation for discrete-time genetic regulatory networks with randomly occurring uncertainties ⋮ \(H_\infty\) filtering for discrete-time genetic regulatory networks with random delay described by a Markovian chain ⋮ Exponential state estimation of Markovian jumping genetic regulatory networks with mode-dependent probabilistic time-varying delays ⋮ Mode-dependent \(H_\infty\) filtering for stochastic Markovian switching genetic regulatory networks with leakage and time-varying delays ⋮ Distributed filtering over wireless sensor networks with parameter and topology uncertainties

Cites Work

• State estimation for jumping recurrent neural networks with discrete and distributed delays
• State estimation for Markov-type genetic regulatory networks with delays and uncertain mode transition rates
• Delay-enhanced coherence of spiral waves in noisy Hodgkin-Huxley neuronal networks
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• Robust asymptotic stability of fuzzy Markovian jumping genetic regulatory networks with time-varying delays by delay decomposition approach
• Novel results concerning global robust stability of delayed neural networks
• Stochastic resonance on paced genetic regulatory small-world networks: effects of asymmetric potentials
• External control in Markovian genetic regulatory networks
• Mode-dependent \(H_\infty\) filtering for discrete-time Markovian jump linear systems with partly unknown transition probabilities
• \(H_{\infty }\) model reduction of Markovian jump linear systems
• Linear Matrix Inequalities in System and Control Theory
• Robust state estimation for perturbed systems with error variance and circular pole constraints: The discrete-time case
• Stability of Genetic Networks With SUM Regulatory Logic: Lur'e System and LMI Approach
• SPATIAL COHERENCE RESONANCE IN DELAYED HODGKIN–HUXLEY NEURONAL NETWORKS
• Robust state estimation for stochastic genetic regulatory networks
• Stability of genetic regulatory networks with time delay
• RobustH∞ filtering for switched linear discrete-time systems with polytopic uncertainties
• Discrete-time analogues of integrodifferential equations modelling bidirectional neural networks

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