Inverse Optimal Design of Input-to-State Stabilizing Nonlinear Controllers

@inproceedings{Krstic1997InverseOD,
  title={Inverse Optimal Design of Input-to-State Stabilizing Nonlinear Controllers},
  author={Miroslav Krstic and Zhong-hua Li},
  year={1997}
}
We show that input-to-state stabilizability (as defined by Sontag) is bothnecessary and sufficient for the solvability of a Hamilton–Jacobi–Isaacs equation associated with a meaningful differential game problem similar to, but more general than, the “nonlinear H1” problem. The significance of the result stems from the fact that constructive solutions to the input-tostate stabilization problem are available (presented in the paper) and that, as shown here, inverse optimal controllers possess… CONTINUE READING
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