relative null controllability of nonlinear systems with multiple delays in state and control

Umana, RA

doi:10.4314/jonamp.v12i1.45490

Cited by 2 publications

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“…The controllability of neutral functional differential systems, in particular null controllability of neutral functional differential systems have been studied, see for example Onwuatu (1984) and Underwood and Chukwu (1988). These studies have been extended to neutral functional differential systems with infinite delays in (Onwuatu, 1993;Balachandran and Leelamani, 2006;Umana, 2008Umana, , 2011Dauer et al 1998;Davies, 2006). In Dauer et al (1998), null controllability of neutral functional differential systems having infinite delay has been studied using the Schauder fixed point theorem.…”

Section: Introductionmentioning

confidence: 99%

“…In Dauer et al (1998), null controllability of neutral functional differential systems having infinite delay has been studied using the Schauder fixed point theorem. In Umana (2008), the result was based on the uniform asymptotical stability of the uncontrolled system and the controllability of the linear control system. In Davies (2006), it was obtained by exploiting the stability of the free system and the well known rank criterion for properness.…”

Section: Introductionmentioning

confidence: 99%

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Null controllability of neutral system with infinite delays

Davies

Haas

2015

European Journal of Control

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Sufficient conditions are developed for the null controllability of neutral control systems with infinite delay when the values of the control lie in an -dimensional unit cube. Conditions are placed on the perturbation function which guarantee that; if the uncontrolled system is uniformly asymptotically stable and the control system satisfies a full rank condition so that ( ) (exp(− ℎ)) ≠ 0, for every complex , where ( ) is an × polynomial matrix in constructed from the coefficient matrices of the control system and (exp(− ℎ)) is the transpose of [1, exp(− ℎ) , ⋯ , exp(−( − 1) ℎ)], then the control system is null controllable with constraint.

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