论文标题
对某些非线性非自治系统的双边界限和诱捕/稳定区域的连续估计
Successive Estimations of Bilateral Bounds and Trapping/Stability Regions of Solution to Some Nonlinear Non-autonomous Systems
论文作者
论文摘要
估计稳定性程度和对非自主非线性系统的溶液界限在许多应用问题中引起了主要关注点。然而，当前的技术通常是产生过度保守的条件，这些条件无法有效地在随时间变化的非线性系统中衡量这些特征。本文开发了一种新的方法，该方法可为解决方案提供连续的近似值，这些解决方案源于这些系统的陷阱和稳定区域，并估算了此类近似值的误差。反过来，这导致了解决方案的双边界限和基础系统的陷阱和稳定区域的连续近似。沿着这些线条，我们制定了增强的稳定性和有限性标准，并将我们的推论与包容性模拟进行对比。
Estimation of the degree of stability and the bounds of solutions to non-autonomous nonlinear systems present major concerns in numerous applied problems. Yet, current techniques are frequently yield overconservative conditions which are unable to effectively gage these characteristics in time-varying nonlinear systems. This paper develops a novel methodology providing successive approximations to solutions that are stemmed from the trapping and stability regions of these systems and estimate the errors of such approximations. In turn, this leads to successive approximations of both the bilateral bounds of solutions and the boundaries of trapping and stability regions of the underlying systems. Along these lines we formulate enhanced stability and boundedness criteria and contrast our inferences with inclusive simulations.
