2005 · 17 citations · 0 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsChaos TheoryControl TheoryNonlinear ControlNonlinear DynamicsNumerical StabilityStability TheoryFractional Differential EquationsLyapunov FunctionsLyapunov StabilityLyapunov Stability TheorySecond-order Differential Equations
利用分数维微积分(Fractional Calculus,简记为FC)理论,推广了Lyapunov第二方法,得到了类Lyapunov判据,给出了一种新的构造Lyapunov函数的方法和途径,并且把此判据推广到分数维系统,给出了一种分数维系统的Lyapunov稳定性问题的判别方法.