On the regularity of semipermeable surfaces in control theory with application to the optimal exit-time problem (Part II)

SIAM Journal on Control and Optimization

Volumn 35, Issue 5, 1997, Pages 1653-1671

  Cardaliaguet, Pierre ^a  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

Author keywords

Differential inclusion; Minimal time function; Semipermeable surfaces; Viability theory

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; OPTIMAL CONTROL SYSTEMS; SET THEORY;

OPTIMAL EXIT TIME FUNCTION; SEMIPERMEABLE SURFACES;

CONTROL SYSTEM ANALYSIS;

EID: 0031232877     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012996312155     Document Type: Article

References (9)

1. L. AMBROSIO, P. CANNARSA, AND H. M. SONER, On the propagation of singularities of semi-convex functions, Ann. Scuola Sup. Ser. IV., XX (1993), pp. 597-616.
2. J.-P. AUBIN and H. FRANKOWSKA, Set-Valued Analysis, Birkhäuser, Boston, 1990.
3. J.-P. AUBIN, Viability Theory, Birkhäuser, Boston, 1991.
4. J.-P. AUBIN AND H. FRANKOWSKA, Viability kernels of control systems, in Nonlinear Synthesis, C. Byrnes and A. Kurzhanski, eds., Birkhäuser, Boston, 1991, pp. 12-33.
5. P. CARDALIAGUET, M. QUINCAMPOIX, AND P. SAINT-PIERRE, Optimal times for constrained non-linear control problems without local controllability, Appl. Math. Optim., to appear.
6. N. CAROFF AND H. FRANKOWSKA, Conjugate points and shocks in nonlinear optimal control, Trans. Amer. Math. Soc., 348 (1996), pp. 3133-3153.
7. H. FRANKOWSKA, Local controllability and infinitesimal generators of semi-groups of set-valued maps, SIAM J. Control Optim., 25 (1987), pp. 412-432.
8. S. N. KRUZKOV, Generalized solutions of Hamilton-Jacobi equations of eikonal type I, Math. USSR-Sb, 27 (1975), pp. 406-446.
9. M. QUINCAMPOIX, Differential inclusions and target problems, SIAM J. Control Optim., 30 (1992), pp. 324-335.