14 research outputs found
A geometric theory for 2-D systems including notions of stabilisability
In this paper we consider the problem of internally and externally stabilising controlled invariant and output-nulling subspaces for two-dimensional (2-D) Fornasini–Marchesini models, via static feedback. A numerically tractable procedure for computing a stabilising feedback matrix is developed via linear matrix inequality techniques. This is subsequently applied to solve, for the first time, various 2-D disturbance decoupling problems subject to a closed-loop stability constraint
Minimal realizations of syndrome formers of a special class of 2D codes
In this paper we consider a special class of 2D convolutional codes (composition
codes) with encoders G(d1;d2) that can be decomposed as the product of
two 1D encoders, i.e., G(d1;d2) = G2(d2)G1(d1). In case that G1(d1) and G2(d2)
are prime we provide constructions of syndrome formers of the code, directly from
G1(d1) and G2(d2). Moreover we investigate the minimality of 2D state-space realization
by means of a separable Roesser model of syndrome formers of composition
codes, where G2(d2) is a quasi-systematic encoder