Lyapunov Equations with Positive Definite Solutions for Continuous- and Discrete-time Descriptor Systems

@article{Wang2007LyapunovEW,
  title={Lyapunov Equations with Positive Definite Solutions for Continuous- and Discrete-time Descriptor Systems},
  author={Qingyang Wang and Qingling Zhang and Qing Wang},
  journal={2007 IEEE International Conference on Control and Automation},
  year={2007},
  pages={681-685}
}
Lyapunov equations with positive definite solutions are presented to guarantee the asymptotic stability for continuous-and discrete-time descriptor systems. They hold without impulse free assumption for continuous-time descriptor system and causal assumption for discrete-time descriptor systems. The solutions of proposed Lyapunov equations can be obtained by Matlab directly. 

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