Uniform stability analysis for time-varying systems applying homogeneity

H. Ríos, D. Efimov, L. Fridman, J. Moreno, W. Perruquetti
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Abstract

The uniform stability notion for a class of nonlinear time-varying systems is studied using the homogeneity framework. It is assumed that the system is weighted homogeneous considering the time variable as a constant parameter, then several conditions of uniform stability for such a class of systems are formulated. The results are applied to the problem of adaptive estimation for a linear system.
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应用均匀性的时变系统的一致稳定性分析
利用齐次框架研究了一类非线性时变系统的一致稳定性概念。考虑时间变量为常参数,假设系统是加权齐次的,给出了该类系统一致稳定的若干条件。结果应用于线性系统的自适应估计问题。
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