On convergence for hybrid models of gene regulatory networks under polytopic uncertainties: a Lyapunov approach

DOI10.1007/s00285-021-01690-3zbMath1480.92089OpenAlexW3214156362WikidataQ113905435 ScholiaQ113905435MaRDI QIDQ2059528

Mirko Pasquini, David Angeli

Publication date: 14 December 2021

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-021-01690-3

zbMATH Keywords

convergence analysislinear matrix inequalitiesgene regulatory networksLyapunov methodssystems biologypolytopic uncertainties

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Systems biology, networks (92C42)

Related Items (1)

Random periodic sequence of globally mean-square exponentially stable discrete-time stochastic genetic regulatory networks with discrete spatial diffusions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Qualitative simulation of genetic regulatory networks using piecewise-linear models
• Piecewise-linear Lyapunov functions for structural stability of biochemical networks
• Robust stability of time-varying polytopic systems via parameter-dependent homogeneous Lyapunov functions
• A passivity-based stability criterion for a class of biochemical reaction networks
• Stability analysis of uncertain genetic sum regulatory networks
• A methodological basis for description and analysis of systems with complex switch-like interactions
• Switching in systems and control
• Uncovering operational interactions in genetic networks using asynchronous Boolean dynamics
• State transition graph and stability of singular equilibria for piecewise linear biological models
• Piecewise-linear models of genetic regulatory networks: equilibria and their stability
• Lyapunov stability for piecewise affine systems via cone-copositivity
• LMI conditions for robust stability analysis based on polynomially parameter-dependent Lyapunov functions
• Biomolecular Feedback Systems
• New Approach to the Stability of Chemical Reaction Networks: Piecewise Linear in Rates Lyapunov Functions
• Quadratic stabilizability of switched linear systems with polytopic uncertainties
• SDPT3 — A Matlab software package for semidefinite programming, Version 1.3
• Affine parameter-dependent Lyapunov functions and real parametric uncertainty
• Asymptotic Stability of Piecewise Affine Systems With Filippov Solutions via Discontinuous Piecewise Lyapunov Functions
• On Convergence for Piecewise Affine Models of Gene Regulatory Networks via a Lyapunov Approach
• Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems: an LMI approach
• Switching Stabilizability for Continuous-Time Uncertain Switched Linear Systems
• Combinatorial Representation of Parameter Space for Switching Networks
• An efficient search algorithm to find the elementary circuits of a graph

This page was built for publication: On convergence for hybrid models of gene regulatory networks under polytopic uncertainties: a Lyapunov approach