Exponential Stability With $L_{2}$-Gain Condition of Nonlinear Impulsive Switched Systems

@article{Xu2010ExponentialSW,
  title={Exponential Stability With  \$L_\{2\}\$-Gain Condition of Nonlinear Impulsive Switched Systems},
  author={Honglei Xu and Kok Lay Teo},
  journal={IEEE Transactions on Automatic Control},
  year={2010},
  volume={55},
  pages={2429-2433}
}
In this technical note, we consider exponential stability and stabilization problems of a general class of nonlinear impulsive switched systems with time-varying disturbances. By using the switched Lyapunov function method, sufficient conditions expressed as algebraic inequality constraints and linear matrix inequalities are obtained. They ensure that the nonlinear impulsive switched systems are not only exponentially stable but also satisfy the L2-gain condition. Based on the stability results… CONTINUE READING
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