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** Research Topics [#d037edec]

- SIZE(15){COLOR(#333399){''Theory of Nonlinear Dynamics and Nonlinear Dynamical Systems''}}
***Theory of Nonlinear Dynamical Systems [#a9a0ddce]

>is a common research object in Prof Hikihara's laboratory.  Our purpose here is twofold:  Analysis and synthesis.  One is to understand how dynamics emerge from nonlinearty of systems.  The other is to establish how to control and synthesize them as engineering applications.  Chaos is a famous nonlinear phenomenon resulting from nonlinearity, which was experimentally found in 1961 by Dr. Yoshisuke Ueda, Emeritus Professor of Electrical Engineering, Kyoto University.  Various nonlinear phenomena are also well known which include regular/subharmonic oscillations, local/global bifurcation, and smooth/fractal basin boudaries.  Not only analysis of nonlinear phenomena and also control of nonlinear phenomena or synthesis of nonlinear systems is also our purpose of research.  Delayed-feedback stabilization of magneto-elastic chaos was experimentally archived by Prof Hikihara [Hikihara and Kawagoshi, Phys. Lett. A. 211, 29 (1996)].  Koopman operator theory, which is an infinite-dimensional linear operator defined for nonlinear dynamical systems, in systems and control is pursed by Associate Prof Susuki [[[w/ Alexandre Mauroy and Igor Mezic (editors), '''The Koopman Operator in Systems and Control''', Springer Nature, 2020:https://link.springer.com/book/10.1007/978-3-030-35713-9]]].  We are currently active in studying the following topics on nonlinear dynamics and control:  
>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:  

-- Operator-theoretic approaches such as Koopman and Perron-Frobenius operators; 
-- 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;

- SIZE(15){COLOR(#333399){''Power Conversion and Power Processing''}}
***Energy Systems and Electricity Grids [#b877cd7a]

>is one of the applications of nonlinear dynamics and control focused by Assistant Prof Mochiyama.  We are currently studying the following topics:
>is one of the applications of nonlinear dynamics and control directed by Associate Prof Susuki.  We are currently studying the following topics:

-- Power packetization and its applications to robotics;
-- Power router for energy demand response;
-- 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 [#vd7467ec]

//- SIZE(15){COLOR(#333399){''Micro-Electromechanical Systems''}}
>is another application of nonlinear dynamics and control directed by Assistant Prof Mochiyama.  We are currently studying the following topics:

//>is an avant-garde research direction in our group.  We are currently studying the following topics:
-- Power packetization and its applications to robotics;
-- Power router for energy demand response;

//-- Application of time-delayed feedback control to atomic force microscopy;
//-- Intrinsic localized modes in MEMS devices:  Theory and Application; and 
//-- In situ mass separation by MEMS actuator.
//-- Coupled MEMS sensors;
//-- Sensor networks;
//-- Energy harvesting.

** Recent Selected Publications [#xf785dc6]

- SIZE(15){COLOR(#333399){''Energy Systems and Electricity Grids''}}
- 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:https://doi.org/10.1109/LCSYS.2020.3047586]]
- 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:https://doi.org/10.1137/20M1335935]] 
- Hiramatsu, Susuki, and Ishigame, Koopman mode decomposition of oscillatory temperature field inside a room, '''Physical Review E,''' vol.102, article no.022210, 2020. [[LINK:https://doi.org/10.1103/PhysRevE.102.022210]]
- Suzuki, Inagaki, Susuki, and Tran (editors), '''Design and Analysis of Distributed Energy Management Systems: Integration of EMS, EV, and ICT,''' Springer Nature, 2020. [[LINK:https://www.springer.com/gp/book/9783030336714]]
- Mauroy, Mezic, and Susuki (editors), '''The Koopman Operator in Systems and Control: Concepts, Methodologies, and Applications''', Springer Nature, 2020. [[LINK:https://link.springer.com/book/10.1007/978-3-030-35713-9]]

>(in preparation)
//>are also a research object in applications of nonlinear dynamical systems.  Needless to say, a power grid is a massively huge physical network for energy management system of modern society and is regarded as a safety-critical system.   Analysis and control based on nonlinear/hybrid dynamics are an essential key to the requirement.  We are currently studying the following topics:  

//-- Application of hybrid systems theory and control;
//-- Non-holonomic mechanics and control of ac/dc composite power networks; 
//-- Development of hybrid-type power network simulator;
//-- Coupled swing dynamics and new global instability of power grids.
//-- Development of new devices for distributed power grid.


** Publication Lists [#xf785dc6]

//** [[Ph.D Dissertation List >Ph.DList]] [#x5d39104]

//** Past External Evaluation [#uaf10f69]
//-[[By Dr. Ralph Abraham (2005):http://www.ralph-//abraham.org/new/fulspec/japan.2005/report/kyoto.html]]
//-[[By Dr. Ralph Abraham (2004):http://www.ralph-//abraham.org/new/fulspec/japan.2004/report/kyoto.html]]

//** Comment [#l3193488]
//>We are expecting contacts by potential PDs or PhD students.  Scholarship or funding should be requested at least 2 yrs before coming.
Backup diff of Research (No. 26)
