Stability analysis of quasi-polynomial dynamical systems with applications to biological network models

No abstract is available for this paper.

• Publication year

  2012

• Venue

  at - Automatisierungstechnik

• Publication date

  2012-11-01

• Fields of study

  Biology, Mathematics, Computer Science

• Identifiers
  DOI 10.1016/J.AUTOMATICA.2012.06.094
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Stability conditions and Liapunov functions for quasi-polynomial systems

  2019cited by this paper
• Linear control analysis of the autocatalytic glycolysis system

  2009cited by this paper
• Predictive energy management of a power-split hybrid electric vehicle

  2009cited by this paper
• A method for determining the robustness of bio-molecular oscillator models

  2009influential reference
• A passivity-based stability criterion for a class of biochemical reaction networks.

  2008cited by this paper
• Towards a theory of biological robustness

  2007cited by this paper
• A Passivity-Based Approach to Stability of Spatially Distributed Systems With a Cyclic Interconnection Structure

  2007cited by this paper
• Diagonal stability of a class of cyclic systems and its connection with the secant criterion

  2006influential reference
• QUASI-POLYNOMIAL SYSTEM REPRESENTATION FOR THE ANALYSIS AND CONTROL OF NONLINEAR SYSTEMS

  2005cited by this paper
• Quantifying robustness of biochemical network models

  2002cited by this paper
• Boundedness of solutions and Lyapunov functions in quasi-polynomial systems

  2000cited by this paper
• Matrix diagonal stability in systems and computation

  1999cited by this paper
• A molecular network that produces spontaneous oscillations in excitable cells of Dictyostelium.

  1998cited by this paper
• Linear Matrix Inequalities In System And Control Theory

  1998cited by this paper
• Lotka-Volterra representation of general nonlinear systems.

  1997cited by this paper
• Matrix analysis

  1985cited by this paper
• Global Stability in Many-Species Systems

  1977influential reference
• A Survey on M-Matrices

  1974cited by this paper

• Stability of Ecological Systems: A Theoretical Review.

  2024cites this paper
• Closed-Form Solutions for Kermack–McKendrick Dynamical System

  2024cites this paper
• On the stability of discrete-time homogeneous polynomial dynamical systems

  2024cites this paper
• Universal embedding of autonomous dynamical systems into a Lotka-Volterra-like format

  2023cites this paper
• Control of oscillations by control of invariants in quasi-polynomial nonlinear systems

  2023cites this paper
• Universal Approximation of Parametric Optimization via Neural Networks with Piecewise Linear Policy Approximation

  2023cites this paper
• Global observer for Lotka-Volterra systems

  2022cites this paper
• Intrinsic timing in classical master equation dynamics from an extended quadratic format of the evolution law

  2022cites this paper
• Dynamic output feedback control for nonlinear large-scale interconnected systems

  2020cites this paper
• Global Stabilization of Lotka–Volterra Systems With Interval Uncertainty

  2019cites this paper
• Recasting the mass-action rate equations of open chemical reaction networks into a universal quadratic format

  2019cites this paper
• On Survival of All Agents in A Network With Cooperative and Competitive Interactions

  2019cites this paper
• Reducing nonlinear dynamical systems to canonical forms

  2018cites this paper
• Realizations of quasi-polynomial systems and application for stability analysis

  2017cites this paper
• On Stability and Trajectory Boundedness of Lotka–Volterra Systems With Polytopic Uncertainty

  2017cites this paper
• Attracting subspaces in a hyper-spherical representation of autonomous dynamical systems

  2017cites this paper
• Global and Local Weighted Homogeneity for Time-Delay Systems

  2016cites this paper
• Robustness analysis, prediction, and estimation for uncertain biochemical networks: An overview ☆

  2016cites this paper
• obustness analysis , prediction , and estimation for uncertain iochemical networks : An overview

  2016cites this paper
• Using Elementary Flux Modes to Estimate the Distance to Regime Shifts in Kinetic Systems

  2015cites this paper
• Controllability of asynchronous Boolean multiplex control networks.

  2014cites this paper
• Immersion of nonlinear systems through Power Geometry

  2013cites this paper
• Robustness Analysis, Prediction and Estimation for Uncertain Biochemical Networks

  2013cites this paper
• Stabilizing dynamic feedback design of quasi-polynomial systems using their underlying reduced linear dynamics

  2013cites this paper