Robust non-fragile boundary control for non-linear parabolic PDE systems with semi-Markov switching and input quantization

Abinandhitha, R.; Sakthivel, R.; Kong, F.; Parivallal, A.

doi:10.1016/j.ejcon.2022.100713

Cited by 14 publications

(1 citation statement)

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“…The author introduced a novel technique and derived the nonlinear robust boundary control laws to assure the stabilization for KdVB equations. The authors in Abinandhitha et al [40] studied the robust boundary control problem for a nonlinear parabolic PDE system with semi-Markov jumping signals, incorporating nonlinearities and parameter uncertainties. However, the aforementioned literature does not consider the passivity and randomness.…”

Section: E(•)mentioning

confidence: 99%

Passivity‐based boundary control for stochastic Korteweg–de Vries–Burgers equations

Liang,

2024

Math Methods in App Sciences

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The passivity‐based boundary control is considered for stochastic Korteweg–de Vries–Burgers (SKdVB) equations. Both the stochastic input strictly passive (SISP) and stochastic output strictly passive (SOSP) are studied. By introducing Lyapunov functionals and Wirtinger's inequality, sufficient criteria are derived to establish SISP and SOSP for SKdVB equations with boundary disturbances. Moreover, when parameter uncertainties arise in SKdVB equations, the robust stochastic passivity is also investigated and sufficient criteria are presented to achieve the robust SISP and SOSP. Two numerical simulations are employed to show the effectiveness and advantages of our theoretical results.

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Section: E(•)mentioning

confidence: 99%