On using of bundle methods in nondifferentiable optimal control problems. (English) Zbl 0607.49020

Restrictive hypotheses are given under which an element of Clarke’s generalized gradient set can be computed for use in a descent algorithm. The hypotheses are verified in two economic applications. Although the ”bundle method” is never described in detail, numerical results of its application are given for a certain discrete-time optimal control problem with a dead band.
Reviewer: P.Loewen


90C52 Methods of reduced gradient type
49J52 Nonsmooth analysis
65K10 Numerical optimization and variational techniques
91B28 Finance etc. (MSC2000)
93C55 Discrete-time control/observation systems
49J99 Existence theories in calculus of variations and optimal control