Asymptotic solution of the optimal control problem for standard systems with delay
Journal Article
·
· Cybernetics and Systems Analysis
OSTI ID:121198
The authors consider the construction of an asymptotic solution of the terminal optimal control problem using the averaging method. The optimal process is described by the equation z = eZ (t, z, z(t-l, e, u), u), z/t=[-1,0] = {var_phi}(t), where the delay is constant and of unit magnitude, z {element_of} G is an n-dimensional vector, G {contained_in} R{sup n}, e > 0 is a small parameter, t {element_of} T {triple_bond} [0, e{sup -1}], Z {var_phi} are n-dimensional vector functions, Z is strictly convex in u for any (t, z) {element_of} T X G, u {element_of} U is the r-dimensional control vector, U is a compact set.
- OSTI ID:
- 121198
- Journal Information:
- Cybernetics and Systems Analysis, Journal Name: Cybernetics and Systems Analysis Journal Issue: 5 Vol. 30; ISSN CYASEC; ISSN 1060-0396
- Country of Publication:
- United States
- Language:
- English
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