Stability analysis of quasi-polynomial dynamical systems with applications to biological network models
From MaRDI portal
Publication:694846
DOI10.1016/j.automatica.2012.06.094zbMath1252.93109OpenAlexW1970148217MaRDI QIDQ694846
Bassam Bamieh, Nader Motee, Mustafa H. Khammash
Publication date: 13 December 2012
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2012.06.094
Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Biochemistry, molecular biology (92C40) Control/observation systems governed by ordinary differential equations (93C15)
Related Items
Reducing nonlinear dynamical systems to canonical forms ⋮ Global observer for Lotka-Volterra systems ⋮ Realizations of quasi-polynomial systems and application for stability analysis ⋮ Recasting the mass-action rate equations of open chemical reaction networks into a universal quadratic format80A30 ⋮ Controllability of asynchronous Boolean multiplex control networks ⋮ On the stability of discrete-time homogeneous polynomial dynamical systems ⋮ Intrinsic timing in classical master equation dynamics from an extended quadratic format of the evolution law ⋮ Attracting subspaces in a hyper-spherical representation of autonomous dynamical systems ⋮ Global and Local Weighted Homogeneity for Time-Delay Systems
Cites Work
- Unnamed Item
- Unnamed Item
- A passivity-based stability criterion for a class of biochemical reaction networks
- Lotka-Volterra representation of general nonlinear systems
- Boundedness of solutions and Lyapunov functions in quasi-polynomial systems
- Stability conditions and Lyapunov functions for quasi-polynomial systems
- Diagonal stability of a class of cyclic systems and its connection with the secant criterion
- A Survey onM-Matrices
- A Passivity-Based Approach to Stability of Spatially Distributed Systems With a Cyclic Interconnection Structure