Exponential stability of non-linear neutral stochastic delay differential system with generalized delay-dependent impulsive points

Kaviya, R.; Muthukumar, P.

doi:10.1016/j.jfranklin.2021.04.026

Cited by 7 publications

(2 citation statements)

References 28 publications

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“…We also confirm that Assumption 4 holds with p 1 = 3, p 2 = 2, p > 6 and q ≥ 4. Let p = 7, we have where H (y) = 0.9217|y| 4 + 0.1390|y| 6 , G (ȳ) = 0.2|ȳ| 4 . Obviously, Assumption 6 is satisfied.…”

Section: An Examplementioning

confidence: 99%

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Stabilization of highly nonlinear stochastic neutral Markovian jump systems with multiple delays

Fan

Park

et al. 2022

IET Control Theory & Appl

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This paper is concerned with the stabilization of highly nonlinear stochastic neutral Markovian jump systems (HNSNMJSs) with multiple delays. First, mild conditions are imposed on the coefficients of the system to ensure the existence and uniqueness of the solution. Second, the design method of the delayed feedback control is provided to stabilize an unstable HNSNMJS with multiple delays in the neutral term. In particular, novel conditions in terms of M-matrices are proposed for the control function, which facilitate derivation and calculation and are easy to verify. Then, by applying Lyapunov functional-based approach, new theories on the asymptotic stabilization and exponential stabilization are established. Finally, the validity of the theoretical results is illustrated through a numerical example.

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Section: An Examplementioning

confidence: 99%

“…Stochastic neutral delay systems [1][2][3][4][5][6][7][8], featured by random disturbances and retarded derivatives of state variables, are widely used to model stochastic events in lossless transmission, population ecology, heat exchanges, etc. [9,10].…”

Section: Introductionmentioning

confidence: 99%