Carleman linearization of nonlinear systems and its finite-section approximations
Author:
Affiliation:
1. Department of Mathematics, University of Central Florida, Orlando, FL 32765, USA
2. Mechanical Engineering and Mechanics Department, Lehigh University, Bethlehem, PA 18015, USA
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference31 articles.
1. M. Abudia, J. A. Rosenfeld and R. Kamalapurka, Carleman lifting for nonlinear system identification with guaranteed error bounds, 2023 American Control Conference (ACC), San Diego, CA, USA, 2023,929-934.
M. Abudia, J. A. Rosenfeld and R. Kamalapurka, Carleman lifting for nonlinear system identification with guaranteed error bounds, 2023 American Control Conference (ACC), San Diego, CA, USA, 2023,929-934.
2. T. Akiba, Y. Morii and M. Kaoru, Carleman linearization approach for chemical kinetics integration toward quantum computation, Sci. Rep., 13 (2023), article no. 3935.
T. Akiba, Y. Morii and M. Kaoru, Carleman linearization approach for chemical kinetics integration toward quantum computation, Sci. Rep., 13 (2023), article no. 3935.
3. A. Amini, Q. Sun and N. Motee, Error bounds for Carleman linearization of general nonlinear systems, 2021 Proc. the Conference on Control and its Applications, SIAM, 2021, 1-8.
A. Amini, Q. Sun and N. Motee, Error bounds for Carleman linearization of general nonlinear systems, 2021 Proc. the Conference on Control and its Applications, SIAM, 2021, 1-8.
4. A. Amini, Q. Sun and N. Motee, Approximate optimal control design for a class of nonlinear systems by lifting Hamilton-Jacobi-Bellman equation, Proc. the 2020 American Control Conference (ACC), IEEE, 2020, 2717-2722.
A. Amini, Q. Sun and N. Motee, Approximate optimal control design for a class of nonlinear systems by lifting Hamilton-Jacobi-Bellman equation, Proc. the 2020 American Control Conference (ACC), IEEE, 2020, 2717-2722.
5. A. Amini, Q. Sun and N. Motee, Quadratization of Hamilton-Jacobi-Bellman equation for near-optimal control of nonlinear systems, Proc. the 59th IEEE Conference on Decision and Control (CDC), IEEE, 2020,731-736.
A. Amini, Q. Sun and N. Motee, Quadratization of Hamilton-Jacobi-Bellman equation for near-optimal control of nonlinear systems, Proc. the 59th IEEE Conference on Decision and Control (CDC), IEEE, 2020,731-736.
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