New asymptotic stability results for nonautonomous nonlinear fractional order systems
Bichitra Kumar Lenka, Swaroop Nandan Bora
Abstract
Abstract This paper considers nonautonomous nonlinear fractional order systems where state variables are associated with different fractional orders and lie in the interval $(0, 1]$. Some new comparison theories are proposed for the asymptotic stability analysis of such systems. Illustrative examples are presented, and it is established that some proposed results are effective for the asymptotic analysis of such systems.
Topics & Concepts
Nonlinear systemMathematicsExponential stabilityStability (learning theory)Applied mathematicsOrder (exchange)Fractional-order systemInterval (graph theory)State (computer science)Asymptotic analysisAsymptotic analysisControl theory (sociology)Fractional calculusMathematical analysisComputer sciencePhysicsAlgorithmCombinatoricsControl (management)FinanceEconomicsArtificial intelligenceQuantum mechanicsMachine learningAdvanced Control Systems DesignFractional Differential Equations SolutionsExtremum Seeking Control Systems