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Showing 1 to 6 of 6 for “"Realization Theory"”.
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Stochastic realization theory for exact and approximate multiscale models
… important insight into the multiscale stochastic realization problem. Multiscale models constitute a broad class of probabilistic models which includes the well--known subclass of multiscale autoregressive (MAR) models. MAR models have proven useful in a variety of different application areas, due …
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Geometric and functional representations of stochastic neural dynamical systems: from realization theory to controlled approximation
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-20 without embargo terms
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Noncommutative rational functions and their finite-dimensional representations
… such as noncom-mutative algebra, automata theory, control theory, free analysis, free real algebraic geometry and free probability. A noncommutative rational function is given by a formal rational expression involving freely noncommuting variables and arithmetic operations, which can be …
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Stochastic Processes and Multi-Resolution Analysis: A Trigonometric Moment Problem Approach and an Analysis of the Expenditure Trends for Diabetic Patients
… the trigonometric moment problem), the theory of realization of rational functions, and reproducing kernel Hilbert spaces. A novel form of multiresolution analysis is formulated in the discrete case that is used to study some stochastic processes. Using the trigonometric moment problem, …
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ΑΝΑΛΥΣΗ ΓΕΝΙΚΕΥΜΕΝΩΝ ΙΔΙΟΜΟΡΦΩΝ ΣΥΣΤΗΜΑΤΩΝ ΑΥΤΟΜΑΤΟΥ ΕΛΕΓΧΟΥ
… THE NOTION OF JORDAN CHAINS FROM THE OPERATOR THEORY. WE ALSO PRESENT A NEW SOLUTION FOR THE INITIAL VALUE PROBLEM AND WE FIND THE COMPATIBILITY CONDITIONS (CONSTRAINTS) THAT THE SYSTEMS' PSEUDO STATES MUST SATISFY IN ORDER THAT THE SOLUTIONS OF THESYSTEM EXIST. POSSIBLY THE MOST IMPORTANT …
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Volterra Systems with Realizable Kernels
… We focus our attention on time-invariant realizations but the case where the state representation of the kernel is a time-variant linear system is briefly discussed.