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Stability and Exponential Stability of Complex-valued Discrete Linear Systems with Delay

Jingwen Zhu, and Jitao Sun*
International Journal of Control, Automation, and Systems, vol. 16, no. 3, pp.1030-1037, 2018

Abstract : "In this paper, we consider the stability and exponential stability of complex-valued discrete linear system with delay. By employing complex-valued Lyapunov matrix equation and complex-modulus inequality technique, sufficient conditions for stability and exponential stability of complex-valued discrete linear systems are established. What’s more, we improve some previous results. Finally, two examples are discussed to illustrate the obtained results are formulated in a set of Linear Matrices Inequalities (LMIs). The adaptive fuzzy observer and the FTC are"

Keyword : Complex-valued, discrete system, exponential stability, stability.

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