Multistability of genetic regulatory networks

DOI10.1080/00207720903072381zbMath1291.92086OpenAlexW2133021379MaRDI QIDQ5168763

Zexu Zhang, Hongyang Liu, Wei Pan

Publication date: 21 July 2014

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207720903072381

zbMATH Keywords

robust stabilitylinear matrix inequalityinterval time-varying delaygenetic regulatory networksswitched systemmultistability

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Lyapunov and storage functions (93D30) Genetics and epigenetics (92D10) Stability of control systems (93D99)

Cites Work

• Robust stability for stochastic Hopfield neural networks with time delays
• Exponential stability of delayed recurrent neural networks with Markovian jumping parameters
• Robust control of a class of uncertain nonlinear systems
• Alternative designs for a genetic switch: Analysis of switching times using the piecewise power-law representation
• Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays
• Multi-stability in monotone input/output systems
• Design principles for elementary gene circuits: Elements, methods, and examples
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Stability of Genetic Networks With SUM Regulatory Logic: Lur'e System and LMI Approach
• Filtering for Nonlinear Genetic Regulatory Networks With Stochastic Disturbances
• Monotone control systems
• Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
• Bistable Biological Systems: A Characterization Through Local Compact Input-to-State Stability
• Robust filtering for gene expression time series data with variance constraints