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Without presuming the activation functions to be continuous, bounded and monotone nondecreasing, by utilizing linear matrix inequality and Cellina approximate selection theory in differential inclusion, a sufficient condition is provided to ensure existence of periodic solutions for that recurrent neural networks.

在并不要求激励函数连续、有界及单调非减的情况下,通过利用线性矩阵不等式和微分包含中的Cellina近似选择定理,得到了该神经网络模型存在周期解的充分条件。

We have proposed the switching adaptive control law for the systems and designed the Lyapunov function in this thesis. It is proved that the proposed switching adaptive control law guarantees the solutions of the nonlinear systems boundedness and convergence of the tracking error to a residual set based on the Lyapunovs stability theory. The residual set can be made arbitrarily small by choosing a certain design parameters.

文中设计出了这类系统的切换自适应控制律,并构造出相应的Lyapunov函数,基于Lyapunov稳定性理论证明了系统在所设计的控制律作用下,闭环信号都有界并且跟踪误差收敛到一个集合,通过选择适当的参数可使这个集合任意小。

On condition that the nonlinear uncertain function is bounded, based on state observer and controller, we derive a sufficient condition for robust stability independent of delay by the Lyapunov functional theory.

在非线性不确定性满足有界条件下,通过构造增广系统,利用Lyapunov稳定性理论,给出了该不确定性系统基于观测器的鲁棒镇定的充分条件,并给出了相应的状态观测器和鲁棒控制器。

Let 〓 be two Hilbert spaces over the same field,and let T:〓a bounded linear operator with closed range.

在1.4中,我们在最一般条件假设下,给出了Hilbert空间上线性有界算子及其最小二乘解的误差分析,从而完整地解决了Hilbert空间算子的扰动理论。

By integral in mean and comparison theorem, boundednesses of consumer population and resources, as well as a sufficient condition for population's weak persistent in mean are given when the environment is with a small capacity.

利用积分均值法和比较定理,给出消费者种群和资源量的有界性,以及环境容量较小情形下种群弱平均持续生存的充分条件。

Propose a method to estimate the maximum robust invariant set of linear plants with control saturation and structural uncertain block.

并且对具有有界干扰的系统,进一步扩展上面条件,给出了干扰条件下系统的鲁棒不变子集计算方法。

We prove that an n-dimensional complete open Riemannian manifold M with Ricci curvature Ric_M ≥ 0 is diffeomorphic to an Euclidean n-space if M satisfies some volume growth conditions.

第二章,我们研究了Ricci益率有一定下界的完备非紧n维Riemann流形,证明了这样的流形在满足一定体积增长条件下微分同胚于n维欧几里德空间。

This paper studies chaotic motions in a nonlinear oscillatory system perturbed by external harmonic force and bounded noise excitation.

研究谐和外力与有界噪声激励联合作用下的一类非线性振子的混沌运动。

While from fault detection aspect this method can detect abrupt and incipient faults effectively and is more robust than the methods where the thresholds are determined by statistical properties of residual errors.

第二类问题为在状态空间模型下带有未知但有界噪声的非线性离散时间系统传感器故障的检测与隔离问题。

A stability proof is given strictly in the sense of Lyapunov. It is shown that all the signals in the closed loop systems are uniformly ultimately bounded.

在很弱的假设条件下,应用李雅普诺夫稳定性理论证明了闭环系统内的所有信号为一致最终有界。

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