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• W2018765813 abstract "This paper investigates the stability properties of a class of dynamic linear systems possessing several linear time-invariant parameterizations (or configurations) which conform a linear time-varying polytopic dynamic system with a finite number of time-varying time-differentiable point delays. The parameterizations may be timevarying and with bounded discontinuities and they can be subject to mixed regular plus impulsive controls within a sequence of time instants of zero measure. The polytopic parameterization for the dynamics associated with each delay is specific, so that<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>q</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math>polytopic parameterizations are considered for a system with<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>q</mml:mi></mml:math>delays being also subject to delay-free dynamics. The considered general dynamic system includes, as particular cases, a wide class of switched linear systems whose individual parameterizations are timeinvariant which are governed by a switching rule. However, the dynamic system under consideration is viewed as much more general since it is time-varying with timevarying delays and the bounded discontinuous changes of active parameterizations are generated by impulsive controls in the dynamics and, at the same time, there is not a prescribed set of candidate potential parameterizations." @default.
• W2018765813 created "2016-06-24" @default.
• W2018765813 creator A5042326806 @default.
• W2018765813 date "2010-01-01" @default.
• W2018765813 modified "2023-10-13" @default.
• W2018765813 title "Global Stability of Polytopic Linear Time-Varying Dynamic Systems under Time-Varying Point Delays and Impulsive Controls" @default.
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• W2018765813 doi "https://doi.org/10.1155/2010/693958" @default.
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