Displaying similar documents to “A simple definition of hidden modes, poles and zeros”

Poles and zeroes of nonlinear control systems

Jean-François Pommaret (2002)

Kybernetika

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During the last ten years, the concepts of “poles” and “zeros” for linear control systems have been revisited by using modern commutative algebra and module theory as a powerful substitute for the theory of polynomial matrices. Very recently, these concepts have been extended to multidimensional linear control systems with constant coefficients. Our purpose is to use the methods of “algebraic analysis” in order to extend these concepts to the variable coefficients case and, as a byproduct,...

A general solution to the output-zeroing problem for MIMO LTI systems

Jerzy Tokarzewski (2002)

International Journal of Applied Mathematics and Computer Science

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The problem of zeroing the output in an arbitrary linear continuous-time system S(A,B,C,D) with a nonvanishing transfer function is discussed and necessary conditions for output-zeroing inputs are formulated. All possible real-valued inputs and real initial conditions which produce the identically zero system response are characterized. Strictly proper and proper systems are discussed separately.