Evolutions of tubes under operability constraints

Journal of Mathematical Analysis and Applications

Volumn 216, Issue 1, 1997, Pages 1-22

  Gorre, Anne ^a  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIATION (CALCULUS); FUNCTIONS; SET THEORY; VECTORS;

FINITE DIMENSIONAL VECTOR SPACE; MUTATIONAL EQUATION; OPERABILITY CONSTRAINTS;

CONSTRAINT THEORY;

EID: 0031284342     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5476     Document Type: Article

References (19)

1. Aubin J.-P. Viability Theory. 1991;Birkhäuser, Basel.
2. J.-P. Aubin, Morphological and Mutational Analysis, Tools for Shape Regulation and Optimization, Birkhäuser, Basel.
3. Aubin J.-P., Frankowska H. Set-Valued Analysis. 1990;Birkhäuser, Basel.
4. Aubin J.-P. Mutational equations in metric spaces. Set-Valued Anal. 1993;3-46.
5. Aubin J.-P., Najman L. L'algorithme des montagnes russes pour l'optimisation globale. C.R. Acad. Sci. Paris. 319:1994;631-636.
6. Bouisset S., Baton B. Muscles, posture et mouvement. 1996;Hermann, Paris.
7. S. Bouisset, J. L. Duchêne, Is body balance more perturbed by respiration in seating than in standing posture?
8. Collins J. J., De Luca C. J. Random walking during quiet standing. Phys. Rev. Lett. 73:1994.
9. L. Doyen, 1993, Evolution contrôle et optimisation de formes, Université Paris-Dauphine.
10. Doyen L. Filippov and invariance theorems for mutational inclusions of tubes. Set-Valued Anal. 1:1993;289-303.
11. Doyen L. Shape Lyapunov functions and stabilization of reachable tubes of control problems. J. Math. Anal. Appl. 1994.
12. Doyen L. Inverse function theorems and optimisation. SIAM J. Control Optim. 184:1994.
13. Doyen L. Shape Lyapunov functions and visual servoing. J. Math. Anal. Appl. 32:1994;1621-1642.
14. Doyen L., Najman L., Mattioli J. Mutational equations of morphological dilatation tubes. Serra J., Soille P. Mathematical Morphology and Its Applications to Signal Processing. 1994;13-20.
15. Murray M. P., Seireg A. A., Sepic S. B. Normal postural stability and steadiness: Quantitative assessment. J. Bone Joint Surgery. 1975.
16. M. Quicampoix, 1991, Problèmes de cibles en théorie du contrôle et des jeux différentiels, Université Paris-Dauphine.
17. Serra J. Image Analysis and Mathematical Morphology. Theoretical Advances. 2:1988;Academic Press, London.
18. Schmitt M., Mattioli J. Morphologie Mathématique. 1993;Masson, Paris.
19. Sokolowski J., Zolesio J. P. Introduction to Shape Optimisation. 1991;Springer-Verlag, New York.