Representation Formulae for Discrete 2D Autonomous Systems
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Publication:2848593
DOI10.1137/12088080XzbMath1273.39012arXiv1505.05684OpenAlexW2109197036MaRDI QIDQ2848593
Debasattam Pal, Harish K. Pillai
Publication date: 26 September 2013
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.05684
Laurent polynomial ring2D systemsfirst order representationNoether's normalizationtime/space relevant systems
Algebraic methods (93B25) Partial differential equations and systems of partial differential equations with constant coefficients (35E99) Partial difference equations (39A14)
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Every discrete 2D autonomous system admits a finite union of parallel lines as a characteristic set ⋮ \(\ell^\infty\)-stability analysis of discrete autonomous systems described by Laurent polynomial matrix operators ⋮ Multidimensional behaviors: the state-space paradigm ⋮ The coarsest lattice that determines a discrete multidimensional system ⋮ \(\ell^2\)-stability: the cases of infinite dimensional discrete autonomous systems and 2-D autonomous systems ⋮ On Minimality of Initial Data Required to Uniquely Characterize Every Trajectory in a Discrete $n$-D System
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