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Fading memory and stability
Authors:Guoqiang Zang  Pablo A Iglesias  
Institution:Department of Electrical and Computer Engineering, The Johns Hopkins University, Baltimore, MD 21218, USA
Abstract:The conditions under which discrete-time nonlinear affine systems possess fading memory are explored. A sufficient condition is given based on discrete-time Lyapunov theory; whereas a necessary condition is provided based on the relationship between the stability and the continuity of this system.
Keywords:Fading memory  Exponential stability  Nonlinear system  Lyapunov theory
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