A numerical method to minimize resource consumption by linear systems with constant delay (Q2261808)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A numerical method to minimize resource consumption by linear systems with constant delay |
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A numerical method to minimize resource consumption by linear systems with constant delay (English)
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13 March 2015
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An optimal control problem with fixed ends is considered for a linear system with time-varying coefficients and constant delay. A numerical method for the solution is proposed. It is proved that the method provides an \(\varepsilon\)-optimal solution of the problem in a finite number of iterations (an \(\varepsilon\)-optimal solution means a feasible control \(u(t)\), \(t\in[0,T]\), which drives the system to an \(\varepsilon\)-neighborhood of the origin and provides a value of the functional that differs from the optimal one at most by \(\varepsilon\)).
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optimal control
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time-varying linear delay system
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numerical method
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resource consumption
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