LOGIN TO YOUR ACCOUNT

Username
Password
Remember Me
Or use your Academic/Social account:

CREATE AN ACCOUNT

Or use your Academic/Social account:

Congratulations!

You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.

Important!

Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message

CREATE AN ACCOUNT

Name:
Username:
Password:
Verify Password:
E-mail:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Darup, Moritz Schulze; Cannon, Mark (2016)
Languages: English
Types: Preprint
Subjects: Mathematics - Optimization and Control

Classified by OpenAIRE into

ACM Ref: TheoryofComputation_LOGICSANDMEANINGSOFPROGRAMS
We present two theoretical results on the computation of lambda-contractive sets for linear systems with state and input constraints. First, we show that it is possible to a priori compute a number of iterations that is sufficient to approximate the maximal lambda-contractive set with a given precision using 1-step sets. Second, based on the former result, we provide a procedure for choosing lambda so that the associated maximal lambda-contractive set is guaranteed to approximate the maximal controlled invariant set with a given accuracy.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] F. Blanchini and S. Miani, Set-Theoretic Methods in Control. Birkh¨auser, 2008.
    • [2] F. Blanchini, “Ultimate boundedness control for uncertain discrete-time systems via set-induced Lyapunov functions,” IEEE Trans. Autom. Control, vol. 39, no. 2, pp. 428-433, 1994.
    • [3] D. P. Bertsekas, “Infinite-time reachability of state-space regions by using feedback control,” IEEE Trans. Autom. Control, vol. 17, no. 5, pp. 604-613, 1972.
    • [4] M. Cwikel and P. O. Gutman, “Convergence of an algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded controls and states,” IEEE Trans. Autom. Control, vol. 31, no. 5, pp. 457-459, 1986.
    • [5] P. O. Gutman and M. Cwikel, “An algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded control and states,” IEEE Trans. Autom. Control, vol. 32, no. 3, pp. 251-253, 1987.
    • [6] S. S. Keerthi and E. G. Gilbert, “Computation of minimum-time feedback control laws for discrete-time systems with state-control constraints,” IEEE Trans. Autom. Control, vol. 32, no. 5, pp. 432-435, 1987.
    • [7] F. Blanchini and S. Miani, “Constrained stabilization of continuous-time linear systems,” System and Control Letters, vol. 28, pp. 95-102, 1996.
    • [8] M. Fiacchini, T. Alamo, and E. F. Camacho, “On the computation of local invariant sets for nonlinear systems,” in Proc. of 46th Conference on Decision and Control, pp. 3989-3994, 2007.
    • [9] M. Schulze Darup and M. M¨onnigmann, “On general relations between nullcontrollable and controlled invariant sets,” in Proc. of 53th Conference on Decision and Control, pp. 6323-6328, 2014.
  • No related research data.
  • Discovered through pilot similarity algorithms. Send us your feedback.

Share - Bookmark

Cite this article

Collected from