Invariant Approximations of the Maximal Invariant Set or “ Encircling the Square ”

  title={Invariant Approximations of the Maximal Invariant Set or “ Encircling the Square ”},
  author={Sasa V. Rakovic and Mirko Fiacchini},
This paper offers a method for the computation of invariant approximations of the maximal invariant set for constrained linear discrete time systems subject to bounded, additive, disturbances. The main advantage of the method is that it generates invariant sets at any step of the underlying set iteration. Conditions under which the sequence of generated invariant sets is monotonically non–decreasing and converges to the maximal invariant set are provided. Explicit formulae for the estimates of… CONTINUE READING
11 Citations
11 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 11 extracted citations


Publications referenced by this paper.
Showing 1-10 of 11 references

Theory and computation of disturbance invariant sets for discrete time linear systems

  • I. Kolmanovsky, E. G. Gilbert
  • Mathematical Problems in Engineering: Theory…
  • 1998
Highly Influential
8 Excerpts

Viability theory

  • J. P. Aubin
  • Systems & Control: Foundations & Applications…
  • 1991
Highly Influential
5 Excerpts

Infinite-time reachability of statespace regions by using feedback control

  • D. P. Bertsekas
  • IEEE Trans. Automatic Control 17(5), 604–613.
  • 1972
Highly Influential
4 Excerpts

Semi–Ellipsoidal Controlled Invariant Sets for Constrained Linear Systems

  • B. D. O’Dell, E. A. Misawa
  • Journal of Dynamic Systems, Measurement, and…
  • 2002

Convex bodies: The BrunnMinkowski theory

  • R. Schneider
  • Vol. 44. Cambridge University Press. Cambridge…
  • 1993
1 Excerpt

Similar Papers

Loading similar papers…