2014
DOI: 10.1007/s10440-014-9954-4
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Controllability and Observability for a Linear Time Varying System with Piecewise Constant Delay

Abstract: Artículo de publicación ISIIn 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 prese… Show more

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Cited by 14 publications
(6 citation statements)
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“…Then, in spite of its functional character a quasilinear DEPCAG has similar properties to ordinary differential equations. For further details, consult for instance [8,19,21,23,24,33]. Here, in this paper, we use the approach of Akhmet.…”
Section: Introductionmentioning
confidence: 99%
“…Then, in spite of its functional character a quasilinear DEPCAG has similar properties to ordinary differential equations. For further details, consult for instance [8,19,21,23,24,33]. Here, in this paper, we use the approach of Akhmet.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, many researchers have applied the discretization method to discretize various cellular neural networks [23][24][25][26][27][28][29]. But discretizing the fractional-order differential equations is of main interest.…”
Section: Formulation Of Discrete-time Analogue: Euler's Polygonal Linmentioning
confidence: 99%
“…DEPCA also arises in the process of replacing some terms of differential equation by their piecewise constant approximations. This point of view has applications in impulsive or loaded differential equations of control theory, and stabilization of systems with discrete (sample) control [7], [8]. Recently published papers [13] and [14] studied DEPCA special form.…”
Section: Introductionmentioning
confidence: 99%