针对采样控制系统的渐近稳定性问题. 结合整个采样间隔的特征信息和阶B-L (Bessel-Legendre) 不等 式, 首次提出一个-相关的双边闭环L-K (Lyapunov-Krasovskii) 泛函. 利用阶B-L不等式估计L-K 泛函的导数, 建立了采样控制系统的渐近稳定性新条件. 最后通过2个数值算例验证了所得条件的有效性和优越性.
This paper investigates the problem of asymptotic stability for sampled-data control systems. Based on the characteristic information on the whole sampling interval combined with the -order Bessel-Legendre (B-L) inequality, an -dependent-based two-side looped Lyapunov-Krasovskii (L-K) functional is proposed for the first time. Then, by employing the B-L inequality to estimate the derivative of the L-K functional, A new asymptotic stability condition is established for sampled-data control systems. Finally, two numerical examples are provided to verify the effectiveness and superiority of proposed method. } \EKeywords{Sampled-data control system, Stability, B-L inequality, -dependent-based two-side looped L-K functional.