What does this research mean for the field?

Structure-preserving discretization schemes for nonlinear energy-based systems can be constructed using modified Petrov-Galerkin methods and discrete gradients, and energy-optimal controls in these systems steer trajectories to the dissipation-free submanifold of the state space. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The main aim is to enhance the modeling and control of nonlinear dynamical systems by incorporating energy properties.

April 12, 2026Open Access

Nonlinear energy-based systems: modeling, control and numerical realization

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Authors

AKAttila Karsai

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Overview

This thesis explores modeling and control of nonlinear energy-based systems, highlighting effective discretization techniques and feedback mechanisms.

Key Points

The main aim is to enhance the modeling and control of nonlinear dynamical systems by incorporating energy properties.
Investigated energy-based model classes for nonlinear phenomena in various dimensions.
Developed structure-preserving discretization schemes using modified Petrov--Galerkin methods.
Formulated energy-based feedback controllers utilizing optimal feedback laws and Hamilton--Jacobi--Bellman equation.
Established a link between nonlinear energy-based models in finite and infinite dimensions.
Demonstrated successful energy-optimal control strategies preserving system energy.
Illustrated theoretical findings through numerical experiments.

Cite This Study

Attila Karsai (2026) studied this question.

synapsesocial.com/papers/69db37404fe01fead37c52ee https://doi.org/10.14279/depositonce-25690

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April 12, 2026Open Access

Nonlinear energy-based systems: modeling, control and numerical realization

View Full Paper

Ask AI

Bookmark

Authors

AKAttila Karsai

Discussion

Member takes

Overview

This thesis explores modeling and control of nonlinear energy-based systems, highlighting effective discretization techniques and feedback mechanisms.

Key Points

The main aim is to enhance the modeling and control of nonlinear dynamical systems by incorporating energy properties.
Investigated energy-based model classes for nonlinear phenomena in various dimensions.
Developed structure-preserving discretization schemes using modified Petrov--Galerkin methods.
Formulated energy-based feedback controllers utilizing optimal feedback laws and Hamilton--Jacobi--Bellman equation.
Established a link between nonlinear energy-based models in finite and infinite dimensions.
Demonstrated successful energy-optimal control strategies preserving system energy.
Illustrated theoretical findings through numerical experiments.

Cite This Study

Attila Karsai (2026) studied this question.

synapsesocial.com/papers/69db37404fe01fead37c52ee https://doi.org/10.14279/depositonce-25690

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