On the solution of time-optimal control problems in the presence of quadratic constraints

On the solution of time-optimal control problems in the presence of quadratic constraints

It is shown that the minimization of \parallel k \parallel_{2} with respect to λ results in a set of m equations which are linear in ( m - 1 ) lambdas and nonlinear in the minimum time. These equations can also be obtained by satisfying the terminal conditions subject to the condition, \lambda \cdot...

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Veröffentlicht in:IEEE transactions on automatic control 1970-02, Vol.15 (1), p.114-115
1. Verfasser: Klafter, R.
Format: Artikel
Sprache:eng
Schlagworte:
Automatic control
Boundary value problems
Costs
Dynamic programming
Feedback
Functional analysis
Nonlinear equations
Optimal control
Symmetric matrices
Vectors
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Zusammenfassung:It is shown that the minimization of \parallel k \parallel_{2} with respect to λ results in a set of m equations which are linear in ( m - 1 ) lambdas and nonlinear in the minimum time. These equations can also be obtained by satisfying the terminal conditions subject to the condition, \lambda \cdot e_{d} = 1 .
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.1970.1099367