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Frequency domain stability inequalities for nonlinear time delay systems

机译:非线性时滞系统的频域稳定性不等式

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Motivated by various applications, among which one can mention the problem of PIO - P(ilot)-I(n-the-loop)-O(scillations), it is considered the problem of the absolute (global asymptotic) stability of the zero equilibrium for systems with slope restricted nonlinearities. Since the linear part incorporates also time delay, it is taken the approach of integral equations subject to the so-called IQC - Integral Quadratic Constraints. It is thus obtained an early stability inequality due to V.A. Yakubovich, but valid for time delay systems in the basic (stable) case - when the linear part is exponentially stable.
机译:出于各种应用的考虑,其中一个可以提到PIO问题-P(ilot)-I(n-the-loop)-O(scillations),它被认为是零的绝对(全局渐近)稳定性问题。斜率受限非线性系统的平衡。由于线性部分还包含时间延迟,因此采用了受所谓IQC-积分二次约束约束的积分方程的方法。因此,由于V.A而获得了早期的稳定性不等式。 Yakubovich,但对于基本(稳定)情况下的时延系统有效-线性部分呈指数稳定时。

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