New Method to Global Exponential Stability Analysis for Switched Genetic Regulatory Networks With Mixed Delays
Lína Zhang, Xinyue Zhang, Yu Xue, Xian Zhang
Abstract
In this paper, the sufficient conditions for the global exponential stability of the switched genetic regulatory networks with mixed time delays are obtained. The proposed method does not need the construction of Lyapunov-Krasovskii functional, but is directly proceeded by the definition of global exponential stability. The derived sufficient conditions can easily be verified by checking the eigenvalues of a constant matrix or solving several simple linear matrix inequalities. Finally, two numerical examples are presented to illustrate that the obtained global exponential stability criteria are available.
Topics & Concepts
Exponential stabilityEigenvalues and eigenvectorsStability (learning theory)MathematicsSimple (philosophy)Applied mathematicsConstant (computer programming)Exponential growthExponential functionMatrix (chemical analysis)Control theory (sociology)Mathematical optimizationComputer scienceMathematical analysisPhysicsNonlinear systemMachine learningComposite materialArtificial intelligenceProgramming languageMaterials scienceEpistemologyQuantum mechanicsPhilosophyControl (management)Gene Regulatory Network Analysisstochastic dynamics and bifurcationMathematical Biology Tumor Growth