Almost Sure Stabilizability of Controlled Degenerate Diffusions

  title={Almost Sure Stabilizability of Controlled Degenerate Diffusions},
  author={Martino Bardi and Annalisa Cesaroni},
  journal={SIAM J. Control and Optimization},
We develop a direct Lyapunov method for the almost sure open-loop stabilizability and asymptotic stabilizability of controlled degenerate diffusion processes. The infinitesimal decrease condition for a Lyapunov function is a new form of Hamilton-Jacobi-Bellman partial differential inequality of 2nd order. We give local and global versions of the First and Second Lyapunov Theorems assuming the existence of a lower semicontinuous Lyapunov function satisfying such inequality in the viscosity sense… CONTINUE READING

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Lepeltier: On the existence of optimal controls

  • J.P.U.G. Haussmann
  • SIAM J. Control Optim
  • 1990
Highly Influential
4 Excerpts

A geometric characterization of viable sets for controlled degenerate diffusions

  • M. Bardi, R. Jensen
  • Set-Valued Anal
  • 2002
Highly Influential
5 Excerpts

Sussmann: Non smooth control Lyapunov functions

  • H.J.E.D. Sontag
  • Proc. IEEE Conf. Decision and Control,
  • 1995
Highly Influential
10 Excerpts

Williams:Stabilization of stochastic nonlinear systems driven by noise of unknown covariance

  • H.Deng, R.J.M.Krstić
  • IEEE Trans. Automat. Control
  • 2001
Highly Influential
4 Excerpts

Lyapunov-like techniques for stochastic stability

  • P. Florchinger
  • SIAM J. Control Optim
  • 1995
Highly Influential
4 Excerpts

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