IEEE Transactions on Automatic Control, Vol.47, No.4, 647-655, 2002
A sufficient condition on the exponential stability of two-dimensional (2-D) shift-variant systems
In this note, we consider a class of two-dimensional (2-D) shift-variant systems. Based on the bound on the deviation of parameters, a sufficient condition is derived which ensures exponential stability with different decaying rates along the two directions. An example Is presented to illustrate the result.
Keywords:adaptive control system;exponential stability;frozen system;shift-variant system;two-dimensional (2-D) system