Periodic Lyapunov equations : some applications and new algorithms

  title={Periodic Lyapunov equations : some applications and new algorithms},
  author={Andr{\'a}s Varga},
The discrete-time periodic Lyapunov equation has several important applications in the analysis and design of linear periodic control systems. Specific applications considered in the paper are the solution of stateand output-feedback optimal periodic control problems, the stabilization by periodic state feedback and the square-root balancing of discrete-time periodic systems. Efficient numerically reliable algorithms based on the periodic Schur decomposition are proposed for the solution of… CONTINUE READING
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