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- W2037175222 abstract "Abstract The problem of controlling a linear system with initial conditions known to lie in a bounded set of the state space, and which is otherwise unknown, is treated in this paper by a modification of the techniques associated with the L-problem of moments. The set of initial conditions is assumed to be a convex polytope. The problem is reduced to devising a control function whose components are bounded functions over a given interval which maps the vertices of the polytope into a closed ball with the center at the origin, and has the least norm (sup-norm) among all control functions to do so. It is possible to apply a modified version of the techniques used to solve the L-problem of moments, and in this manner the optimal control, if it exists, is characterized and existence and uniqueness conditions are derived. A by-product of the analysis is an efficient computational method for optimal control. The procedure is shown by a numerical example." @default.
- W2037175222 created "2016-06-24" @default.
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- W2037175222 date "1973-06-01" @default.
- W2037175222 modified "2023-09-27" @default.
- W2037175222 title "Minimum-norm control of linear systems with partially known initial conditions" @default.
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- W2037175222 doi "https://doi.org/10.1016/0016-0032(73)90195-6" @default.
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