EXPONENTIAL STABILITY RESULTS FOR STOCHASTIC SEMI-LINEAR SYSTEMS WITH LEVY NOISE

RAVI RAGUL; GUNASEKARAN SANGEETHA; KALIDASS MATHIYALAGANHUIYAN ZHANG

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EXPONENTIAL STABILITY RESULTS FOR STOCHASTIC SEMI-LINEAR SYSTEMS WITH LEVY NOISE

机译：EXPONENTIAL STABILITY RESULTS FOR STOCHASTIC SEMI-LINEAR SYSTEMS WITH LEVY NOISE

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In this paper, mean square exponential stability (MSES) for semi-linear partial differential equations (PDEs) involving Levy type noise is investigated. By constructing an appropriate Lyapunov function, a new set of sufficient conditions is established in terms of linear matrix inequalities (LMIs) ensuring that the given system with Neumann boundary conditions is MSES. The semilinear functions in the system are assumed to have sector bounds. The robust boundary feedback controller is designed to handle the noise and inappropriate behavior of the considered system. The boundary control gain is obtained by solving the derived results using the standard MATLAB software. Finally, two numerical examples are given to demonstrate effectiveness of the proposed results.

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《International journal of innovative computing, information and control》 |2022年第6期|1929-1940|共12页
作者
RAVI RAGUL; GUNASEKARAN SANGEETHA; KALIDASS MATHIYALAGANHUIYAN ZHANG;
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作者单位

Department of Mathematics Bharathiar University Coimbatore-641 046, Tamilnadu, India;

Department of Mathematics KGISL Institute of Technology Coimbatore-641 035, Tamilnadu, India;

National Research Base of Intelligent Manufacturing Service Chongqing Technology and Business University No. 19, Xuefu Avenue, Nan'an District, Chongqing 400067, P. R. China;

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正文语种英语
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关键词
Parabolic system; Levy noise; Boundary control; Lyapunov stability; LMIs;

EXPONENTIAL STABILITY RESULTS FOR STOCHASTIC SEMI-LINEAR SYSTEMS WITH LEVY NOISE

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