On feedback stabilization of a class of stochastic nonlinear Systems with delays

Woihida Aggoune; Krishna Busawon

doi:10.1109/ACC.2011.5991293

On feedback stabilization of a class of stochastic nonlinear Systems with delays

Woihida Aggoune, Krishna Busawon

Mathematics, Physics and Electrical Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, the problem of feedback stabilization of stochastic differential delay systems is considered. The systems under study are nonlinear and nonaffine. By using a LaSalle-type theorem for stochastic systems, general conditions for stabilizing the closed-loop system with delays are obtained. In addition, stabilizing state feedback control laws are proposed.

Original language	English
Pages (from-to)	4225-4230
Journal	American Control Conference
DOIs	https://doi.org/10.1109/ACC.2011.5991293
Publication status	Published - 18 Aug 2011

Keywords

nonaffine system
state feedback control law
stochastic differential delay

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10.1109/ACC.2011.5991293

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title = "On feedback stabilization of a class of stochastic nonlinear Systems with delays",

abstract = "In this paper, the problem of feedback stabilization of stochastic differential delay systems is considered. The systems under study are nonlinear and nonaffine. By using a LaSalle-type theorem for stochastic systems, general conditions for stabilizing the closed-loop system with delays are obtained. In addition, stabilizing state feedback control laws are proposed.",

keywords = "nonaffine system, state feedback control law, stochastic differential delay",

author = "Woihida Aggoune and Krishna Busawon",

note = "This paper was presented at the American Control Conference (ACC),June 29 2011-July 1 2011, San Francisco, USA.",

year = "2011",

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doi = "10.1109/ACC.2011.5991293",

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AU - Busawon, Krishna

N1 - This paper was presented at the American Control Conference (ACC),June 29 2011-July 1 2011, San Francisco, USA.

PY - 2011/8/18

Y1 - 2011/8/18

N2 - In this paper, the problem of feedback stabilization of stochastic differential delay systems is considered. The systems under study are nonlinear and nonaffine. By using a LaSalle-type theorem for stochastic systems, general conditions for stabilizing the closed-loop system with delays are obtained. In addition, stabilizing state feedback control laws are proposed.

AB - In this paper, the problem of feedback stabilization of stochastic differential delay systems is considered. The systems under study are nonlinear and nonaffine. By using a LaSalle-type theorem for stochastic systems, general conditions for stabilizing the closed-loop system with delays are obtained. In addition, stabilizing state feedback control laws are proposed.

KW - nonaffine system

KW - state feedback control law

KW - stochastic differential delay

U2 - 10.1109/ACC.2011.5991293

DO - 10.1109/ACC.2011.5991293

M3 - Article

SN - 0743-1619

SP - 4225

EP - 4230

JO - American Control Conference

JF - American Control Conference

ER -

On feedback stabilization of a class of stochastic nonlinear Systems with delays

Abstract

Keywords

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