首页|Input-to-State Stability for Impulsive Switched Singular Systems with Mismatched Disturbances
Input-to-State Stability for Impulsive Switched Singular Systems with Mismatched Disturbances
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This work investigates the input-to-state stability(ISS)problem for impulsive switched singular systems(ISSSs)with mismatched disturbances.In this paper,'disturbance'is a general concept that includes model uncertainty,unknown system dynamic,external disturbance,etc.The modified uncertainty and disturbance estimator(UDE)-based control method is presented for singular systems and ISSSs,a virtual control is introduced to offset the effects of mismatched disturbances.On the basis of a discontinuous multiple Lyapunov functional and admissible edge-dependent average dwell time(AED-ADT)method,several sufficient conditions in terms of linear matrix inequalities(LMIs)are obtained to ensure that the closed-loop systems are regular,impulse-free and ISS.Finally,two examples are given to demonstrate the effectiveness of the proposed results.
Impulsive switched singular systemsinput-to-state stabilityUDE-based control
YANG Anqing、MA Shuping
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School of Information Engineering,Shandong Management University,Jinan 250357,China
School of Math-ematics,Shandong University,Jinan 250100,China
School of Mathematics,Shandong University,Jinan 250100,China
国家自然科学基金Foundation for Innovative Research Groups of National Natural Science Foundation of China
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