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- W2339080007 abstract "This paper studies robust stability, stabilization, and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=normal>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>control for a class of nonlinear discrete time stochastic systems. Firstly, the easily testing criteria for stochastic stability and stochastic stabilizability are obtained via linear matrix inequalities (LMIs). Then a robust<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=normal>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>state feedback controller is designed such that the concerned system not only is internally stochastically stabilizable but also satisfies robust<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=normal>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>performance. Moreover, the previous results of the nonlinearly perturbed discrete stochastic system are generalized to the system with state, control, and external disturbance dependent noise simultaneously. Two numerical examples are given to illustrate the effectiveness of the proposed results." @default.
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- W2339080007 date "2016-01-01" @default.
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- W2339080007 title "Robust Stability, Stabilization, andH∞Control of a Class of Nonlinear Discrete Time Stochastic Systems" @default.
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- W2339080007 doi "https://doi.org/10.1155/2016/5185784" @default.
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