What does this research mean for the field?

Extending Kronecker product-based polynomial approximations using the strangeness framework enables the computation of energy functions for nonlinear systems with Stokes-type differential-algebraic equation constraints while preserving original sparsity structures. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To develop polynomial approximations for energy functions governed by Hamilton-Jacobi-Bellman equations in nonlinear systems with Stokes-type differential-algebraic constraints.

September 8, 2026Advances in Computational MathematicsOpen Access

Energy function approximations for differential algebraic polynomial systems of Stokes-type

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Authors

HAHamza Adjerid JBJeff Borggaard

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Overview

Computational analysis demonstrates polynomial approximations for constrained differential-algebraic systems, highlighting sparsity-preserving feedback control.

Key Points

To develop polynomial approximations for energy functions governed by Hamilton-Jacobi-Bellman equations in nonlinear systems with Stokes-type differential-algebraic constraints.
Applied the strangeness framework to decouple differential-algebraic equations into separate algebraic and differential variable sets.
Used Kronecker product-based polynomial expansions to approximate solutions to the Hamilton-Jacobi-Bellman equations.
Evaluated the approximation and a novel sparsity-preserving formulation on two polynomial feedback control benchmark problems.
Successfully decoupled Stokes-type constrained systems into differential subsystems suitable for Kronecker product polynomial approximations.
Demonstrated accurate energy function computation across two polynomial feedback control problems.
Preserved the original system sparsity structure, avoiding the computational overhead caused by standard decoupling transformations.

Cite This Study

Adjerid et al. (2026) studied this question.

synapsesocial.com/papers/6a9fd70a58e84d0ff5b45859 https://doi.org/10.1007/s10444-026-10351-2

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September 8, 2026Advances in Computational MathematicsOpen Access

Energy function approximations for differential algebraic polynomial systems of Stokes-type

View Full Paper

Ask AI

Bookmark

Authors

HAHamza Adjerid JBJeff Borggaard

Discussion

Member takes

Overview

Computational analysis demonstrates polynomial approximations for constrained differential-algebraic systems, highlighting sparsity-preserving feedback control.

Key Points

To develop polynomial approximations for energy functions governed by Hamilton-Jacobi-Bellman equations in nonlinear systems with Stokes-type differential-algebraic constraints.
Applied the strangeness framework to decouple differential-algebraic equations into separate algebraic and differential variable sets.
Used Kronecker product-based polynomial expansions to approximate solutions to the Hamilton-Jacobi-Bellman equations.
Evaluated the approximation and a novel sparsity-preserving formulation on two polynomial feedback control benchmark problems.
Successfully decoupled Stokes-type constrained systems into differential subsystems suitable for Kronecker product polynomial approximations.
Demonstrated accurate energy function computation across two polynomial feedback control problems.
Preserved the original system sparsity structure, avoiding the computational overhead caused by standard decoupling transformations.

Cite This Study

Adjerid et al. (2026) studied this question.

synapsesocial.com/papers/6a9fd70a58e84d0ff5b45859 https://doi.org/10.1007/s10444-026-10351-2

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