What does this research mean for the field?

Embedding a state-dependent recursive structure directly within the dynamic programming iteration significantly reduces computational overhead compared to classical dynamic programming while maintaining high solution accuracy for complex optimal control problems. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To develop and evaluate a recursive dynamic programming framework designed to overcome the curse of dimensionality and system nonlinearity in complex optimal control problems.

August 30, 2026American Journal of Mathematical and Computer ModellingOpen Access

Breaking the Curse of Dimensionality Using a Recursive Dynamic Programming Framework

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To develop and evaluate a recursive dynamic programming framework designed to overcome the curse of dimensionality and system nonlinearity in complex optimal control problems.
Embedded state-dependent recursive relationships directly within dynamic programming iterations to navigate state spaces efficiently.
Derived analytical and semi-analytical recursive formulations for primary decision variables and gradient functions.
Evaluated the computational framework on benchmark resource-constrained control problems featuring separable cost functions.
Substantially reduced computational overhead compared to classical dynamic programming algorithms.
Maintained high solution accuracy by generating near-optimal control policies across complex system states.

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Implication

Methodological study demonstrates reduced computational overhead in resource-constrained optimal control problems, highlighting a scalable alternative to classical dynamic programming.

Cite This Study

Adebayo et al. (2026) studied this question.

synapsesocial.com/papers/6a93f0c06c1a8fb52e79d32b https://doi.org/10.11648/j.ajmcm.20261103.11

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Implication

Methodological study demonstrates reduced computational overhead in resource-constrained optimal control problems, highlighting a scalable alternative to classical dynamic programming.

Breaking the Curse of Dimensionality Using a Recursive Dynamic Programming Framework

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Implication

Cite This Study

Breaking the Curse of Dimensionality Using a Recursive Dynamic Programming Framework

Key Points

Discussion

Implication

Cite This Study

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