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

  title={Inverse Optimal Design of Input-to-State Stabilizing Nonlinear Controllers},
  author={Miroslav Krstic and Zhong-hua Li},
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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Publications referenced by this paper.
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Smooth stabilization implies coprime factorization

  • IEEE Trans. Automat. Contr. , vol. 34, pp. 435…
  • 1989
Highly Influential
17 Excerpts

Kokotoví c, “Modular approach to adaptive nonlinear stabilization,”Automatica

  • P.V.M. Krstić
  • 1996
Highly Influential
5 Excerpts

On characterizations of input-to-state stability property,”Syst

  • E. D. Sontag, Y. Wang
  • Contr. Lett. ,
  • 1995
Highly Influential
9 Excerpts

Kokotovi ć, Nonlinear and Adaptive Control Design

  • M. Krstić, I. Kanellakopoulos, V P.
  • 1995
Highly Influential
6 Excerpts

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