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Causal and non-causal observability are discussed in this paper for nonlinear time-delay systems. By extending the Lie derivative for time-delay systems in the algebraic framework introduced by Xia et al. (2002), we present a canonical form and give sufficient condition in order to deal with causal and non-causal observations of state and unknown inputs of… (More)
In this paper, two quadratic observability normal forms dependent on output respectively correspondent to drift dominant term and forced dominant term are firstly discussed. Moreover characteristic numbers are studied in order to simplify the calculation of these two normal forms.
— This paper gives a new scheme of data secure communication based on synchronization of chaotic systems with multi inputs multi outputs and zero dynamics. In addition, a sliding mode observer is proposed and a simple example and simulations are given in order to highlight the proposed method.
Interval-valued data appear as a way to represent the uncertainty affecting the observed values. Dealing with interval-valued information systems is helpful to generalize the applications of rough set theory. Attribute reduction is a key issue in analysis of interval-valued data. Existing attribute reduction methods for single-valued data are unsuitable for… (More)
In this paper, we study the controllability for a system of linear parabolic equations. Through Galerkin method, we get the null controllability for this system with the Kalman condition.