Robust stability and stabilization of a class of nonlinear discrete time stochastic systems: An LMI approach

@article{Sathananthan2012RobustSA,
  title={Robust stability and stabilization of a class of nonlinear discrete time stochastic systems: An LMI approach},
  author={Sivapragasam Sathananthan and Michael Jason Knap and A. Strong and Lee H. Keel},
  journal={Applied Mathematics and Computation},
  year={2012},
  volume={219},
  pages={1988-1997}
}
A problem of robust state feedback stability and stabilization of nonlinear discrete-time stochastic processes is considered. The linear rate vector of a discrete-time system is perturbed by a nonlinear function that satisfies a quadratic constraint. Our objective is to show how linear constant feedback laws can be formulated to stabilize this type of nonlinear discrete-time systems and, at the same time maximize the bounds on this nonlinear perturbing function which the system can tolerate… CONTINUE READING
4 Citations
26 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 26 references

Robust stabilization of nonlinear systems: the LMI approach

  • D. D. Siljak, D. M. Stipanovic
  • Mathematical problems in Engineering 6
  • 2000
Highly Influential
4 Excerpts

Linear Stochastic Control Systems

  • G. Chen, S. Hsu
  • CRC Press, Boca Raton, Florida, 1995. S…
  • 2012
1 Excerpt

Feedback stabilization of Markov jump linear systems with time-varying delay

  • S. Sathananthan, O. Adetona, C. Beane, L. H. Keel
  • Stochastic Analysis and Applications 26
  • 2008
1 Excerpt

Similar Papers

Loading similar papers…