ISSN:
1573-2878
Keywords:
Distributed-control problem
;
minimum problem
;
uniqueness theorems
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Let $$\begin{gathered} z_{xy} + A(x, y)z_x + B(x, y)z_y + C(x, y)z = F(x, y)U(x, y) + G(x, y) \hfill \\ a.e. in[0, a[ \times [0, b[ \hfill \\ \end{gathered} $$ be a control process with distributed parameters. For such a process, a subset of the real line being chosen as target, a problem of optimal control (analogous to that of minimal time for control processes with concentrated parameters) is investigated under suitable assumptions. Some uniqueness theorems are established. To this aim, the notions of positively normal, negatively normal, and normal process are given. The relationships between these notions and the uniqueness results are discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00933604
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