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- W2801984905 abstract "M. FLIESS AND H. MOUNIER 1 An algebraic framework for Infinite Dimensional Linear Systems M. Fliess, H. Mounier Abstract— An algebraic theory for linear partial differential systems controlled at the boundary is presented. Some structural properties, analogous to the differential flatness of nonlinear systems, are exposed yielding an easy solution to tracking problems. Examples of the wave and Euler Bernoulli equations are treated in some detail. Index Terms— Distributed parameter systems, Delay systems, π-freeness, Flatness, controllability, Trajectory tracking, Wave equation, Euler-Bernoulli equation, Module theory. INTRODUCTION THE present document reports on recent works in the area of infinite dimensional systems modelled through delay differential or partial differential equations [1], [21], [23], [24], [25], [26], [37], [41], [42], [48], [49], [50], [52]. The adopted framework emphasizes on equation structure (rather than solutions) in order to study a given system. When dealing with linear equations, a system is associated with a module over a differential ring, this notion playing for differential equations the role played by vector spaces for linear algebraic equatio" @default.
- W2801984905 created "2018-05-17" @default.
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- W2801984905 date "2004-01-01" @default.
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- W2801984905 title "An algebraic framework for Infinite Dimensional Linear Systems" @default.
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