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Abstract

Controlling a complex system including: obtaining an input of a functional of field and co-field functions; determining, based on the input functional and using a canonical functional transformation, an input function; determining, based on the input function and using a function transformation, the input basic state and co-state variables; determining, based on the input basic state and co-state variables and using a canonical transformation, input fundamental state and co-state variables; determining, based on the input fundamental state and co-state variables and using a control function transformation, output fundamental state and co-state variables; determining, based on the output fundamental state and co-state variables and using an inverse canonical transformation, output basic state and co-state variables; determining, based on the output basic state and co-state variables and using a function transformation, the output function; and determining, based on the output function and using an inverse canonical functional transformation, an output functional of the field and co-field functions.

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First Claim