Minimal partial realization by descriptor systems

DOI10.1016/S0024-3795(00)00303-7zbMath0986.93017MaRDI QIDQ5932202

Uwe R. Helmke, Wilfried Manthey, Diederich Hinrichsen

Publication date: 13 June 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

descriptor systemsblock Hankel matricesminimal partial descriptor realizationsWeierstrass form

Mathematics Subject Classification ID

Minimal systems representations (93B20) Realizations from input-output data (93B15)

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On positivity of singular regular linear time-delay time-invariant systems subject to multiple internal and external incommensurate point delays, Partial realization of descriptor systems, Realization and canonical representation of linear systems through I/O maps, Continuous LTI input-output stable systems on \({L^P(\mathbb{R})}\) and \({\mathscr{D'}_{L^P}(\mathbb{R})}\) associated with differential equations: existence, invertibility conditions and inversion, On the geometry of the generalized partial realization problem, On minimal realizations and minimal partial realizations of linear time-invariant systems subject to point incommensurate delays, Minimal partial realization by descriptor systems, Connectivity properties of spaces of partial realizations, The rank of a sequence as an indicator of chaos in discrete nonlinear dynamical systems, Parametrising the solutions of the generalised partial realisation problem through an atlas of coordinates

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