On the existence of overtaking trajectories. (English) Zbl 0573.49020
A study is made of the conditions sufficient for the existence of overtaking trajectories for a class of infinite time-horizon, time- variant optimal control systems. Nonautonomy is restricted to disturbances with limits at infinity. The convergence property of the overtaking trajectories to the optimal steady-state limit is shown.
MSC:
| 93D99 | Stability of control systems |
| 49K15 | Optimality conditions for problems involving ordinary differential equations |
| 93C99 | Model systems in control theory |
Keywords:
nonautonomous systems; overtaking trajectories; infinite time-horizon, time-variant optimal control systemsReferences:
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