2015
DOI: 10.1109/tac.2015.2396647
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Divided State Feedback Control of Stochastic Systems

Abstract: This paper concerns with the divided state feedback control of stochastic systems. First, the concepts of state extraction matrix and divided state feedback control are proposed. Secondly, a fine stability criterion is established for stochastic systems with dominating linear parts. Thirdly, the divided state feedback control of the delayed stochastic systems is investigated, the divided state feedback control law is designed and the corresponding stability criterion for the closed-loop system is established. … Show more

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Cited by 13 publications
(4 citation statements)
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“…The initial function ϕ can be extended from the function space LscriptFt2false(false[t0τ,t0false];double-struckRnfalse) to the function space LscriptFt2false(false[t02τ,t0τfalse];double-struckRnfalse) by ϕfalse^false(sfalse)={ϕfalse(sfalse),sfalse[t0τ,t0false],ϕfalse(t0τfalse),sfalse[t02τ,t0τfalse),then, we have |ϕfalse^false|2τ=|ϕfalse|τ (see [35]).…”
Section: Preliminariesmentioning
confidence: 99%
“…The initial function ϕ can be extended from the function space LscriptFt2false(false[t0τ,t0false];double-struckRnfalse) to the function space LscriptFt2false(false[t02τ,t0τfalse];double-struckRnfalse) by ϕfalse^false(sfalse)={ϕfalse(sfalse),sfalse[t0τ,t0false],ϕfalse(t0τfalse),sfalse[t02τ,t0τfalse),then, we have |ϕfalse^false|2τ=|ϕfalse|τ (see [35]).…”
Section: Preliminariesmentioning
confidence: 99%
“…A similar criterion for exact detectability has also been proposed in [2]. As for the controller design problems, many researchers concentrated their attentions on state feedback control [3,4], output feedback control [5] and so on.…”
Section: Introductionmentioning
confidence: 99%
“…State feedback or output feedback can be used to guarantee the system stability and dynamic performances [2]. The forward integrator and the state feedback controller should be designed synthetically so that the different control requirements can be met simultaneously [3].…”
Section: Introductionmentioning
confidence: 99%