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Titlebook: Mathematical Systems Theory; Proceedings of the I Giovanni Marchesini,Sanjoy Kumar Mitter Conference proceedings 1976 Springer-Verlag Berli

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https://doi.org/10.1007/978-3-642-48895-5Algebra; Finite; Invariant; equation; function; theorem
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Algebraic Method for Calculating z-TransformThe purpose of this paper is to present the simple algebraic method for calculating the z-transform. Let G(s) be the Laplace transform of g(t) and Ĝ(z) be its z-transform. Define the linear map Z by ..
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The Formal Laplace Transform for Smooth Linear SystemsA class of time invariant linear systems is introduced. For systems in this class a formal Laplace transform is defined and invertibility properties are studied using this transform. The results are related to known results in literature.
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Exponential stabilization of Functional Differential EquationsLet us consider the autonomous functional differential equation . where: z →N(z) is an nxn matrix of bounded variation on the interval [-h,0], t →x(t) is a continuous vector function for t≥-h.
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Decomposition Theoremsof linear sequential machines. By putting the two theorems side by side, certain analogies and differences become apparent. These may be helpful in suggesting the proper methodology for similar theorems in other parts of system theory.
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On Invariants, Canonical Forms and Moduli for Linear, Constant, Finite Dimensional, Dynamical System, if one prefers discrete time systems . A change of coordinates in state space changes the triple of matrices (F,G,H) into the triple (SFS., SG, HS.). Let . denote the space of all triples (F,G,H); i.e. . is affine space of dimension np + n. + nm.
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