On multistability of delayed genetic regulatory networks with multivariable regulation functions

DOI10.1016/j.mbs.2010.08.012zbMath1200.92020OpenAlexW1973922205WikidataQ51664128 ScholiaQ51664128MaRDI QIDQ608887

Huijun Gao, Wei Pan, Zidong Wang, Yurong Li, Min Du

Publication date: 26 November 2010

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: http://bura.brunel.ac.uk/handle/2438/4698

zbMATH Keywords

linear matrix inequalityLyapunov-Krasovskii functionalgenetic regulatory networksmultiple time delaysmultistabilitymultivariable regulation function

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Application models in control theory (93C95) Systems biology, networks (92C42)

Related Items

Exponential stability of stochastic genetic regulatory networks with interval uncertainties and multiple delays ⋮ Multistability of neural networks with discontinuous non-monotonic piecewise linear activation functions and time-varying delays ⋮ Dynamic behaviors of memristor-based recurrent neural networks with time-varying delays ⋮ Pinning adaptive synchronization of complex dynamical network with multi-links ⋮ Robust state estimation for discrete-time genetic regulatory networks with randomly occurring uncertainties ⋮ Stability of genetic networks with hybrid regulatory mechanism

Cites Work

• Unnamed Item
• Stochastic stability of Markovian switching genetic regulatory networks
• Multistability of competitive neural networks with time-varying and distributed delays
• On global asymptotic stability of neural networks with discrete and distributed delays
• Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions
• Robust stability analysis of generalized neural networks with discrete and distributed time delays
• Genetic oscillation deduced from Hopf bifurcation in a genetic regulatory network with delays
• Dynamical behaviour of biological regulatory networks. I: Biological role of feedback loops and practical use of the concept of the loop- characteristic state
• A new delay system approach to network-based control
• Multi-stability in monotone input/output systems
• Global exponential stability of generalized recurrent neural networks with discrete and distributed delays
• Cellular neural networks: theory
• Linear Matrix Inequalities in System and Control Theory
• Robust H/sub /spl infin// filtering for stochastic time-delay systems with missing measurements
• Stability of Genetic Networks With SUM Regulatory Logic: Lur'e System and LMI Approach
• Network-Based ${{\cal H}}_{\!\!\!\infty }$ Output Tracking Control
• Monotone control systems
• Delay-dependent robust H/sub ∞/ and L/sub 2/-L/sub ∞/ filtering for a class of uncertain nonlinear time-delay systems
• New Results on Stability of Discrete-Time Systems With Time-Varying State Delay
• Bistable Biological Systems: A Characterization Through Local Compact Input-to-State Stability
• A Delay-Dependent Approach to Robust<tex>$H_infty$</tex>Filtering for Uncertain Discrete-Time State-Delayed Systems
• Neurons with graded response have collective computational properties like those of two-state neurons.
• Dynamics and bistability in a reduced model of the lac operon

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