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- W2054321103 abstract "Finite-dimensional autonomous behaviors (SIAM J. Control Optimiz. 31 (1993) 1502; IEEE Trans. Circuits Systems Part I, CAS1-47 3 (2000) 290) are the sets of solutions of certain two-dimensional (2D) difference equations, endowed with the property of constituting finite-dimensional vector spaces. Among all possible types of representations for this class of behaviors, we will be specifically interested in two of them: kernel descriptions (corresponding to right factor prime polynomial matrix operators) or 2D state-space descriptions (associated with a pair of nonsingular commuting system matrices). In this paper, we explore the observability property of these state-space representations, and analyze the algebraic connections between the properties of the kernel descriptions and the properties of the corresponding state-space realizations." @default.
- W2054321103 created "2016-06-24" @default.
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- W2054321103 date "2001-10-01" @default.
- W2054321103 modified "2023-09-25" @default.
- W2054321103 title "State-space descriptions and observability properties of 2D finite-dimensional autonomous behaviors" @default.
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- W2054321103 doi "https://doi.org/10.1016/s0167-6911(01)00127-x" @default.
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