FrontPage
Research Topics †
Theory of Nonlinear Dynamical Systems †
is a common research object in our laboratory. One purpose is to understand how dynamics emerge from the nonlinearity of systems. The other is to establish how to synthesize the dynamics as engineering applications, namely, control. Chaos is a famous nonlinear phenomenon resulting from nonlinearity, which was experimentally discovered in 1961 by Dr. Yoshisuke Ueda, Emeritus Professor of Kyoto University. Various nonlinear phenomena are also well known which include regular/subharmonic oscillations, local/global bifurcation, and smooth/fractal basin boundaries. Regarding the control purpose, delayed-feedback stabilization of magneto-elastic chaos was experimentally archived by Prof Hikihara [Hikihara and Kawagoshi, Physics Letters A., vol.211, no.29, 1996]. Recently, as a novel direction to the analysis and control with a strong connection to data science, the Koopman operator, which is an infinite-dimensional linear operator defined for nonlinear dynamical systems, in systems and control has been pursued by Associate Prof Susuki. He is currently active in studying the following topics on nonlinear dynamics and control:
- Koopman operator theory of nonlinear dynamical systems to characterize global properties of flows;
- Operator theory of non-autonomous dynamical systems to develop a novel algorithm of signal processing;
- Koopman-model predictive control with temporal logic specifications to synthesize safe behaviors of systems;
Energy Systems and Electricity Grids †
is one of the applications of nonlinear dynamics and control directed by Associate Prof Susuki. We are currently studying the following topics:
- Design of cooperative management systems of sharing economy for mobility and energy;
- Data-driven management technologies of electricity grids such as distribution grids;
- Formal methods and software applied to the synthesis of safety-critical energy systems;
Power Conversion and Robotics †
is another application of nonlinear dynamics and control directed by Assistant Prof Mochiyama. We are currently studying the following topics:
- Power packetization and its applications to robotics;
- Power router for energy demand response;
Recent Selected Publications †
- Netto, Susuki, Krishnan, and Zhang, On analytical construction of observable functions in extended dynamic mode decomposition for nonlinear estimation and prediction, IEEE Control Systems Letters, vol.5, no.6, pp.1868-1873, 2021. LINK
- Susuki, Mauory, and Mezic, Koopman resolvent: A Laplace-domain analysis of nonlinear autonomous dynamical systems, SIAM Journal on Applied Dynamical Systems, vol.20, no.4, pp.2013-2036, 2021. LINK
- Hiramatsu, Susuki, and Ishigame, Koopman mode decomposition of oscillatory temperature field inside a room, Physical Review E, vol.102, article no.022210, 2020. LINK
- Suzuki, Inagaki, Susuki, and Tran (editors), Design and Analysis of Distributed Energy Management Systems: Integration of EMS, EV, and ICT, Springer Nature, 2020. LINK
- Mauroy, Mezic, and Susuki (editors), The Koopman Operator in Systems and Control: Concepts, Methodologies, and Applications, Springer Nature, 2020. LINK
![[PukiWiki]](image/mathbf_S^t.png "[PukiWiki]")
