A conjugate points theory for a nonlinear programming problem

SIAM Journal on Control and Optimization

Volumn 40, Issue 1, 2002, Pages 54-63

  Kawasaki, H ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

Conjugate points; Jacobi equation; Legendre condition; Positive definite; Principal minors; Shortest path problem; Strict conjugate points; Sylvester's criterion

Indexed keywords

FUNCTIONS; MATRIX ALGEBRA; NONLINEAR PROGRAMMING; VARIATIONAL TECHNIQUES;

CONJUGATE POINTS;

OPTIMAL CONTROL SYSTEMS;

EID: 0036203751     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012900368831     Document Type: Article

References (11)

1. Conjugate points for a minimization problem in a finite dimensional space
2. Conjugate points for variational problems with equality and inequality state constraints
3. Generalized conjugate points for optimal control problems
4. A second-order Lagrangian condition for restricted control problems
5. The Riccati equation for optimal control problems with mixed state-control constraints: Necessity and sufficiency
6. Admissible directions and generalized coupled points for optimal control problems
7. The conjugate point condition for smooth control sets
8. Coupled points in the calculus of variations and applications to periodic problems
9. Coupled points in optimal control theory