Project Grant 2432603
- The National Science Foundation (NSF) Engineering Program (CFDA 47.041) awarded a $360,000 Project Grant to Rensselaer Polytechnic Institute (RPI) to develop a theoretical framework for conducting accurate hypothetical interventions on complex systems and predicting their outcomes. The overarching goal is to provide decision-makers with a reliable basis for planning and risk assessment when implementing complex policy changes, infrastructure modifications, or emergency responses that could...
- This $200,000 Project Grant awarded by the National Science Foundation (NSF) Engineering program (CFDA 47.041) supports research at Embry-Riddle Aeronautical University aimed at advancing the design of highly chaotic systems. The two-year project will investigate how higher-dimensional representations and topological modeling from knot theory can enhance the analysis, visualization, and design of complex chaotic systems, with the goal of revealing previously unattainable solutions. The...
- This Project Grant award of $199,940.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program is supporting research by Rensselaer Polytechnic Institute (RPI) to develop algorithms that can quickly predict and rectify large-scale disruptions in power systems. The key objectives are: 1) Quickly and reliably detect ambient-level anomalies in power systems and distinguish them from random noise; 2) Localize any detected anomalies; and 3) Determine the...
- This Project Grant award of $220,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will fund research by Rensselaer Polytechnic Institute (RPI) to develop new stochastic optimization algorithms for solving nonconvex nonsmooth minimax problems. The project aims to create software packages that can improve the robustness of deep learning models, which are often vulnerable to adversarial attacks. The research will explore various...
- This $300,000 Project Grant award from the National Science Foundation (NSF) Engineering program (CFDA 47.041) supports collaborative research on the foundations of "super-linearization" of nonlinear dynamical systems. The research aims to leverage linear system theory to address challenges in analyzing and controlling complex nonlinear dynamics, with applications spanning diverse fields such as fluid dynamics, epidemiology, robotics, and power grids. The project, led by The Washington...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences (CFDA 47.049) program seeks to advance the understanding of dynamical systems and the evolution from ordered to chaotic behavior. The $249,103 award to the Research Foundation of the City University of New York, effective July 1, 2024 through June 30, 2026, will support research aimed at developing new conceptual ideas, approaches, and theoretical frameworks to transcend the limitations of...
- This $326,187 National Science Foundation Project Grant supports research into the complex dynamics of large spatially-extended systems with long-range interactions. Funded under the NSF Engineering Directorate's $47.041 million Engineering program, the three-year award to Virginia Polytechnic Institute & State University will advance understanding of nonlinear dynamics in systems of societal importance like the atmosphere, oceans, and distributed networks. Principal investigators will use...
- This Project Grant awarded by the National Science Foundation's (NSF) Engineering program (CFDA 47.041) supports research to advance the analysis of dynamical systems with fast and slow time-varying signals and parameters, including abrupt changes. The $422,734 award, effective August 1, 2025 through July 31, 2028, aims to develop a novel theoretical framework that combines nonlinear system theory, switched/hybrid systems, and Lyapunov stability techniques. This research is expected to expand...
- This $250,000 Project Grant award from the National Science Foundation (NSF) Engineering program (CFDA 47.041) aims to address challenges in stochastic nonlinear control and learning for dynamical systems through a novel "Spectral Dynamic Embedding" approach. Led by the Georgia Tech Research Corporation, the research intends to develop computationally efficient control algorithms suitable for applications in robotics, aerospace, manufacturing, and beyond. The key innovations involve...
- This $275,000 Project Grant from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program supports research on optimization algorithms and digital twins constrained by partial differential equations (PDEs) that incorporate data to make decisions resilient to uncertainty. The research will develop: (1) inexact adaptive semismooth Newton and trust-region methods to solve these optimization problems; (2) primal dual...
This Project Grant award from the National Science Foundation's (NSF) Engineering program (CFDA 47.041) provides $299,990.00 to Rensselaer Polytechnic Institute (RPI) to investigate a novel algorithm called the Linked Ensemble Aggregation Procedure (LEAP) for optimizing chaotic dynamical systems. The research objectives are to: I) investigate LEAP's accuracy, parameters, and limitations; II) seek to improve LEAP's robustness; and III) generate a solution algorithm suitable for large-scale problems. The award will support the development of open-source software and educational resources, as well as the establishment of a workshop for the optimization of chaotic systems. This research aims to positively impact multiple engineering disciplines and industries that utilize chaotic dynamical systems, such as fusion reactors and aircraft design, by providing improved optimization capabilities.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 8/27/25 |