时滞连续时间系统Wirtinger型积分不等式的加权正交多项式推广

非线性广义比例分数阶时滞系统的稳定性判据

Stability criteria of nonlinear generalized proportional fractional delayed systems

针对带时滞的广义比例分数阶系统的有限时间稳定性问题，结合广义比例Grönwall不等式、Mittag-Leffler函数及Hölder、Jensen不等式推导显式判据，并用数值算例验证结果的有效性与可行性。

An Exact Cutting Plane Method for $k$-submodular Function Maximization

A natural and important generalization of submodularity -- $k$-submodularity -- applies to set functions with $k$ arguments and appears in a broad range of applications, such as infrastructure design, machine learning, and healthcare. In this paper, we study maximization problems with $k$-submodular objective functions. We propose valid linear inequalities, namely the $k$-submodular inequalities, for the hypograph of any $k$-submodular function. This class of inequalities serves as a novel generalization of the well-known submodular inequalities. We show that maximizing a $k$-submodular functi…

具有单一时滞阻尼的耦合波方程的理论与数值间接稳定性

Theoretical and numerical indirect stabilization of coupled wave equations with a single time-delayed damping

本文研究时滞对具有时滞与非时滞阻尼的耦合波方程系统指数稳定性的影响，通过半群理论证明系统适定性并推导能量指数衰减的充分条件，同时基于有限差分法构造保持能量衰减性质的数值格式以验证理论结果。

Newton-series-based observer-predictor control for disturbed input-delayed discrete-time systems

This paper deals with the problem of predicting the future state of discrete-time input-delayed systems in the presence of unknown disturbances that can affect both the state and the output equations of the plant. Since the disturbance is unknown, computing an exact prediction of the future plant states is not possible. To circumvent this problem, we propose using a high-order extended Luenberger-type observer for the plant states, disturbances, and their finite difference variables, combined with a new equation for computing the prediction based on Newton's series from the calculus of finite …