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Converse Optimality for Discrete-Time Systems
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DOI：10.1109/TAC.2019.2941425.png)
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Abstract
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Given an optimal value function for a discrete-time infinite-horizon optimal control problem, how does one derive a nonlinear system dynamics model, which satisfies this optimal value function? This problem is called converse optimality and was successfully addressed in the continuous-time case. There is, however, no similar derivation in the discrete-time case, and this is the purpose of this paper. A class of discrete-time systems satisfying the given optimality condition is constructed, and its properties are analyzed.
Keywords:
Mathematical model
Optimal control
Nonlinear dynamical systems
Discrete-time systems
Benchmark testing
Couplings
Optimal control
infinite horizon
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