New second-order optimality conditions for variational problems with C2-Hamiltonians

SIAM Journal on Control and Optimization

Volumn 40, Issue 2, 2002, Pages 577-609

  Zeidan, Vera ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

Accessory problem; Conjoined basis; General boundary conditions; Generalized Bolza problem; Optimal control; Optimality criteria; Riccati equation; Strong; W1,s and Ls weak local minima

Indexed keywords

BOUNDARY CONDITIONS; FUNCTIONS; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING; RICCATI EQUATIONS; THEOREM PROVING; VARIATIONAL TECHNIQUES;

VARIATIONAL PROBLEMS;

HAMILTONIANS;

EID: 0036113117     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012999358725     Document Type: Article

References (18)

1. Conjugate points and shocks in nonlinear optimal control
2. Optimization and nonsmooth analysis
3. Hamiltonian analysis of the generalized problem of Bolza
4. New necessary conditions for the generalized problem of Bolza
5. First and second order necessary conditions for control problems with constraints
6. Existence theorems for general control problems of Bolza and Lagrange
7. Equivalent subgradient versions of Hamiltonian and Euler-Lagrange equations in variational analysis
8. The conjugate point condition for smooth control sets
9. Sufficient conditions with minimal regularity assumptions
10. Sufficient conditions for the generalized problem of Bolza
11. Extended Jacobi sufficiency criterion for optimal control
12. A modified Hamilton-Jacobi approach in the generalized problem of Bolza
13. Nonnegativity and positivity of a quadratic functional