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** Research Theme [#d037edec]
- SIZE(20){COLOR(#333399){Nonlinear Dynamics and Control}}
** Research Topics [#d037edec]

>is a common research object in Professor Hikihara's labratory.  Our purpose here is twofold.  One is to understand how dynamics emerge from nonlinearty of systems, and 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, Electrical Engineergin Department, 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 control 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:  
***Theory of Nonlinear Dynamical Systems [#a9a0ddce]

-- Statistics of chaos;
-- Spatio-temporal dynamics of TDGL equation with application to superconductivity;
-- Dynamics and control of large coupled oscillators;
-- Bifurcation of switched dynamical systems; and 
-- Energy and power-based characterizations of synchronization.
>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:  

>You can download several jouranal papers realted to the above topics in the following publication lists.
-- 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(20){COLOR(#333399){Power Conversion and Processing}}
- SIZE(20){COLOR(#333399){Nano-Mechanical System}}
- SIZE(20){COLOR(#333399){Power Network}}
***Energy Systems and Electricity Grids [#b877cd7a]

>is also a research obeject in nonlinear/hybrid dynamics and control.  Needless to say, power network is a massively huge physical network for energy management system of modern society.  Power network is regarded as a safety-critical system, because without electricity, we could not have lived a modern life.  Emergence of large cascading blackouts all over the world requires a new direction of research for grasping and taming dynamics of power network.  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:

-- Application of hybrid systems theory and control;
-- Non-holonomic mechanics and control of ac/dc composite systems; and
-- Coupled swing dynamics and global instability.
-- 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;

** Publication List [#xf785dc6]
- [[2007>PubList2007]]
- [[2006>PubList2006]]
- [[2005>PubList2005]]
- [[2004>PubList2004]]
***Power Conversion and Robotics [#vd7467ec]

** [[Ph.D Dissertation List >Ph.DList]] [#x5d39104]
>is another application of nonlinear dynamics and control directed by Assistant Prof Mochiyama.  We are currently studying the following topics:

** 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]]
-- Power packetization and its applications to robotics;
-- Power router for energy demand response;

** Recent Selected Publications [#xf785dc6]

- 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]]