| Global Stabilization of Linear Discrete-Time Systems with Bounded Feedback (1997) | |||||||||||||||
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| This paper deals with the problem of global stabilization of linear discrete time systems by means of bounded feedback laws. The main result proved is an analog of one proved for the continuous time case by the authors, and shows that such stabilization is possible if and only if the system is stabilizable with arbitrary controls and the transition matrix has spectral radius less or equal to one. The proof provides in principle an algorithm for the construction of such feedback laws, which can be implemented either as cascades or as parallel connections ("single hidden layer neural networks") of simple saturation functions. 1 Introduction This paper is concerned with the global stabilization to the origin x = 0 of the state x(t) of a linear discrete-time system \Sigma : x(t + 1) = Ax(t) + Bu(t) ; (1.1) when the control values u(t) are constrained to lie in a bounded subset U of R m which contains zero in its interior. (As usual, A 2 R n\Thetan and B 2 R n\Thetam .) The study of ... | |||||||||||||||
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