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** Research Project [#d037edec]
- SIZE(15){COLOR(#333399){Nonlinear Dynamics and Control}}
>is a common research object in Professor Hikihara's labratory.  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 Professor Hikihara [Hikihara and Kawagoshi, Phys. Lett. A. 211, 29 (1996)].  We are currently studying the following topics on nonlinear dynamics and control:  
** Research Topics [#d037edec]

-- Statistics of chaos;
-- Spatio-temporal dynamics described by infinite-dimensional systems;
-- Dynamics and control of large coupled oscillators.
-- Bifurcation of hybrid dynamical systems
//-- Energy and power-based characterization of synchronization.
***Theory of Nonlinear Dynamical Systems [#a9a0ddce]

- SIZE(15){COLOR(#333399){Power Conversion and Processing}}
>is one of the applications of nonlinear dynamics and control focused by Professors Hikihara.  We are currently studying the following topics:
>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, article 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:  

-- Physical modeling of SiC power devices;
-- Application of SiC power devices to HF power conversion circuits;
-- Energy scavenging; 
-- Power router for smart energy management;
-- and New Theoretical Formulation of Power Processing.
-- Operator theory of nonlinear dynamical systems to characterize global properties of flows;
-- Operator theory of nonlinear non-autonomous dynamical systems to develop a streaming algorithm;
-- Koopman-model predictive control with temporal logic specifications to synthesize safe behaviors of nonlinear systems;

- SIZE(15){COLOR(#333399){Nano-Mechanical System}}
>is an avant-garde research direction in our group.  We are currently studying the following topics:
***Energy Systems and Electricity Grids [#b877cd7a]

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

- SIZE(15){COLOR(#333399){Electric Power Grid}}
>is also a research obeject in nonlinear/hybrid dynamics and control.  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, because without electricity we could not have lived a modern life.  Emergence of large cascading blackouts and deregulation of power markets all over the world require a new direction of theory of complex power grids.  Analysis and control based on nonlinear/hybrid dynamics are an essential key to the requirement.  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 via synchrophasor measurement;
-- Applications of formal methods and software to the synthesis of safety-critical energy systems;

-- 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.
***Power Conversion and Robotics [#vd7467ec]

** Publication List [#xf785dc6]
>You can download some of our archival journal articles below.
>is another application of nonlinear dynamics and control directed by Assistant Prof Mochiyama.  We are currently studying the following topics:

- [[2010>PubList2010]]
- [[2009>PubList2009]]
- [[2008>PubList2008]]
- [[2007>PubList2007]]
- [[2006>PubList2006]]
- [[2005>PubList2005]]
- [[2004>PubList2004]]
-- Power packetization and its applications to robotics;
-- Power router for energy demand response;

//** [[Ph.D Dissertation List >Ph.DList]] [#x5d39104]
** Recent Selected Publications [#xf785dc6]

** 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]]
- 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]]

** Comment [#l3193488]
>We are expecting contacts by potential PDs or PhD students.  Scholarship or funding should be requested at least 2 yrs before coming.