Controllability and Observability for a Linear Time Varying System with Piecewise Constant Delay
Author
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Pinto Jiménez, Manuel
Author
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Robledo Veloso, Gonzalo
Admission date
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2015-08-18T12:22:08Z
Available date
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2015-08-18T12:22:08Z
Publication date
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2015
Cita de ítem
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Acta Appl Math (2015) 136:193–216
en_US
Identifier
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DOI: 10.1007/s10440-014-9954-4
Identifier
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https://repositorio.uchile.cl/handle/2250/132808
General note
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Artículo de publicación ISI
en_US
Abstract
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In this note, we obtain some necessary and sufficient conditions for the controllability and observability in a linear time-varying control system with piecewise constant state variables. The controllability results can be understood in terms of classical control systems on intervals [k,k+1] with . We have preferred to use a global treatment instead of the reduction to a discrete equation. We also derive some results for the linear time-invariant case. Illustrative examples are presented.