caa a22 4500 467988838 CHVBK 20180323112539.0 cr unu---uuuuu 170328e19900301xx s 000 0 eng 10.1007/BF02551356 doi (NATIONALLICENCE)springer-10.1007/BF02551356 Schumacher J. Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB, Amsterdam, The Netherlands aut State representations of linear systems with output constraints [Elektronische Daten] [J. Schumacher] We derive state space representations for linear systems that are described by input/state/output equations and that are subjected to a number of constant linear constraints on the outputs. In the case of a general linear system, the state representation of the constrained system is shown to be essentially nonunique. For linear Hamiltonian systems satisfying a nondegeneracy condition, there is a natural and unique choice of the representation which preserves the Hamiltonian structure. In the linear systems setting we give an algebraic proof that a system withn degrees of freedom underk constraints becomes a system withn−k degree of freedom. Similar results are obtained for linear gradient systems. Springer-Verlag New York Inc., 1990 Constrained linear system nationallicence Gradient systems nationallicence Hamiltonian systems nationallicence State representation nationallicence Mathematics of Control, Signals and Systems Springer-Verlag 3/1(1990-03-01), 61-80 0932-4194 3:1<61 1990 3 498 https://doi.org/10.1007/BF02551356 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02551356 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Schumacher J. Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB, Amsterdam, The Netherlands aut NATIONALLICENCE 773 0- Mathematics of Control, Signals and Systems Springer-Verlag 3/1(1990-03-01), 61-80 0932-4194 3:1<61 1990 3 498 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer