M. Falcone, L. Grune and F. Wirth. A maximum time approach to the computation of robust domains of attraction. Proceedings of the EQUADIFF 99, Berlin, to appear.  Home/Search   Document Details and Download   Summary   Related Articles   Check

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M. Falcone, L. Grune and F. Wirth. A maximum time approach to the computation of robust domains of attraction. Proceedings of the EQUADIFF 99, Berlin, to appear.

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M. Falcone, L. Grune and F. Wirth. A maximum time approach to the computation of robust domains of attraction. Proceedings of the EQUADIFF 99, Berlin, B. Fiedler, K. Groger, J. Sprekels, eds., World Scienti c, Singapore(2000), 844-849.

....assumption that D R is a locally asymptotically stable compact set for all admissible perturbation functions a we try to nd the set of points which are attracted to D under all these perturbations a. For the special case of D being just one xed point this set has been considered e.g. in [14, 15, 5, 8], for the case where D is a periodic orbit see e.g. 2] The present paper follows the approach of [5] where a generalization of Zubov s classical method [22] has been developed in the framework of viscosity solutions for the characterization of the domain of attraction of an exponentially ....

M. Falcone, L. Grune and F. Wirth. A maximum time approach to the computation of robust domains of attraction. Proceedings of the EQUADIFF 99, Berlin, B. Fiedler, K. Groger, J. Sprekels, eds., World Scienti c, Singapore(2000), 844-849.

....values in some compact set A R m . Under the assumption that x 2 R n is a locally exponentially stable xed point for all admissible perturbation functions a( we try to nd the set of points which are attracted to x for all admissible a( This set has been considered e.g. in [14,15,4,7]. In particular, in [14] and [7] numerical procedures based on optimal control techniques for the computation of robust domains of attraction are presented. The techniques in these papers have in common that a numerical approximation of the optimal value function of a suitable optimal control ....

..... Under the assumption that x 2 R n is a locally exponentially stable xed point for all admissible perturbation functions a( we try to nd the set of points which are attracted to x for all admissible a( This set has been considered e.g. in [14,15,4,7] In particular, in [14] and [7] numerical procedures based on optimal control techniques for the computation of robust domains of attraction are presented. The techniques in these papers have in common that a numerical approximation of the optimal value function of a suitable optimal control problem is computed such that the ....

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M. Falcone, L. Grune and F. Wirth. A maximum time approach to the computation of robust domains of attraction. Proc. EQUADIFF 99, Berlin, to appear.

....in some compact set A ae R m . Under the assumption that x 2 R n is a locally exponentially stable fixed point for all admissible perturbation functions a( Delta) we try to find the set of points which are attracted to x for all admissible a( Delta) This set has been considered e.g. in [14,15,4,7]. In particular, in [14] and [7] numerical procedures based on optimal control techniques for the computation of robust domains of attraction are presented. The techniques in these papers have in common that a numerical approximation of the optimal value function of a suitable optimal control ....

.... assumption that x 2 R n is a locally exponentially stable fixed point for all admissible perturbation functions a( Delta) we try to find the set of points which are attracted to x for all admissible a( Delta) This set has been considered e.g. in [14,15,4,7] In particular, in [14] and [7] numerical procedures based on optimal control techniques for the computation of robust domains of attraction are presented. The techniques in these papers have in common that a numerical approximation of the optimal value function of a suitable optimal control problem is computed such that the ....

[Article contains additional citation context not shown here]

M. Falcone, L. Grune and F. Wirth. A maximum time approach to the computation of robust domains of attraction. Proc. EQUADIFF 99, Berlin, to appear.

....in some compact set A ae R m . Under the assumption that x 2 R n is a locally exponentially stable fixed point for all admissible perturbation functions a( Delta) we try to find the set of points which are attracted to x for all admissible a( Delta) This set has been considered e.g. in [14, 15, 4, 7]. In particular, in [14] and [7] numerical procedures based on optimal control techniques for the computation of robust domains of attraction are presented. The techniques in these papers have in common that a numerical approximation of the optimal value function of a suitable optimal control ....

.... assumption that x 2 R n is a locally exponentially stable fixed point for all admissible perturbation functions a( Delta) we try to find the set of points which are attracted to x for all admissible a( Delta) This set has been considered e.g. in [14, 15, 4, 7] In particular, in [14] and [7] numerical procedures based on optimal control techniques for the computation of robust domains of attraction are presented. The techniques in these papers have in common that a numerical approximation of the optimal value function of a suitable optimal control problem is computed such that the ....

[Article contains additional citation context not shown here]

M. Falcone, L. Grune and F. Wirth. A maximum time approach to the computation of robust domains of attraction. Proceedings of the EQUADIFF 99, Berlin, to appear.

....that D # R n is a locally asymptotically stable compact set for all admissible perturbation functions a we try to find the set of points which are attracted to D under all these perturbations a. For the special case of D being just one fixed point this set has been considered e.g. in [13, 14, 5, 8], for the case where D is a periodic orbit see e.g. 2] The present paper follows the approach of [5] where a generalization of Zubov s classical method [21] has been developed in the framework of viscosity solutions for the characterization of the domain of attraction of an exponentially ....

M. Falcone, L. Gr une and F. Wirth. A maximum time approach to the computation of robust domains of attraction. Proceedings of the EQUADIFF 99, Berlin, to appear.

....that D ae R n is a locally asymptotically stable compact set for all admissible perturbation functions a we try to find the set of points which are attracted to D under all these perturbations a. For the special case of D being just one fixed point this set has been considered e.g. in [13, 14, 5, 8], for the case where D is a periodic orbit see e.g. 2] The present paper follows the approach of [5] where a generalization of Zubov s classical method [21] has been developed in the framework of viscosity solutions for the characterization of the domain of attraction of an exponentially stable ....

M. Falcone, L. Grune and F. Wirth. A maximum time approach to the computation of robust domains of attraction. Proceedings of the EQUADIFF 99, Berlin, to appear.

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M. Falcone, L. Grune, and F. Wirth. A maximum time approach to the computation of robust domains of attraction. In B. Fiedler et al., editor, Proc. International Conference on Di#erential Equations, pages 844--849, 1999.

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