Uniform stabilization for linear systems with persistency of excitation: the neutrally stable and the double integrator cases

@article{Chaillet2008UniformSF,
  title={Uniform stabilization for linear systems with persistency of excitation: the neutrally stable and the double integrator cases},
  author={Antoine Chaillet and Yacine Chitour and Antonio Lor{\'i}a and Mario Sigalotti},
  journal={MCSS},
  year={2008},
  volume={20},
  pages={135-156}
}
Consider the controlled system dx/dt = Ax + α(t)Bu where the pair (A, B) is stabilizable and α(t) takes values in [0, 1] and is persistently exciting, i.e., there exist two positive constants μ, T such that, for every t ≥ 0, ∫ t+T t α(s)ds ≥ μ. In particular, when α(t) becomes zero the system dynamics switches to an uncontrollable system. In this paper, we address the following question: is it possible to find a linear time-invariant state-feedback u = Kx, with K only depending on (A,B) and… CONTINUE READING

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Continuous dependence with respect to the input of trajectories of controlaffine systems

  • W. Liu, H. J. Sussmann
  • SIAM J. Control Optim., vol. 37, pp. 777–803
  • 1999
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