Koopman Operator Theory for Nonautonomous and Stochastic Systems

2020 ◽  
pp. 131-160
Author(s):  
Senka Maćešić ◽  
Nelida Črnjarić-Žic
Keyword(s):  
Operator Theory ◽  
Stochastic Systems ◽  
Koopman Operator

Analyzing Effectiveness of Gang Interventions using Koopman Operator Theory

2020 ◽  
Author(s):  
Sian Wen ◽  
Andy Chen ◽  
Tanishq Bhatia ◽  
Nicholas Liskij ◽  
David Hyde ◽  
...  
Keyword(s):  
Operator Theory ◽  
Koopman Operator ◽  
Gang Interventions

scholarly journals Applied Koopman operator theory for power systems technology

2016 ◽  
Vol 7 (4) ◽  
pp. 430-459 ◽  
Author(s):  
Yoshihiko Susuki ◽  
Igor Mezic ◽  
Fredrik Raak ◽  
Takashi Hikihara
Keyword(s):  
Power Systems ◽  
Operator Theory ◽  
Koopman Operator

scholarly journals Asymptotic Phase and Amplitude for Classical and Semiclassical Stochastic Oscillators via Koopman Operator Theory

Mathematics ◽  
2021 ◽  
Vol 9 (18) ◽  
pp. 2188
Author(s):  
Yuzuru Kato ◽  
Jinjie Zhu ◽  
Wataru Kurebayashi ◽  
Hiroya Nakao
Keyword(s):  
Limit Cycle ◽  
Operator Theory ◽  
Quantum Limit ◽  
Koopman Operator ◽  
Excitable Systems ◽  
Fundamental Quantity ◽  
Stochastic Oscillators ◽  
Semiclassical Regime ◽  
Deterministic Limit ◽  
Asymptotic Phase

The asymptotic phase is a fundamental quantity for the analysis of deterministic limit-cycle oscillators, and generalized definitions of the asymptotic phase for stochastic oscillators have also been proposed. In this article, we show that the asymptotic phase and also amplitude can be defined for classical and semiclassical stochastic oscillators in a natural and unified manner by using the eigenfunctions of the Koopman operator of the system. We show that the proposed definition gives appropriate values of the phase and amplitude for strongly stochastic limit-cycle oscillators, excitable systems undergoing noise-induced oscillations, and also for quantum limit-cycle oscillators in the semiclassical regime.

Data-Driven Control of Soft Robots Using Koopman Operator Theory

2020 ◽  
pp. 1-14
Author(s):  
Daniel Bruder ◽  
Xun Fu ◽  
R. Brent Gillespie ◽  
C. David Remy ◽  
Ram Vasudevan
Keyword(s):  
Operator Theory ◽  
Data Driven ◽  
Soft Robots ◽  
Koopman Operator
Sign in / Sign up

Export Citation Format

Share Document