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Seminaris ACES - Nikita Barabanov, Dep. of Mathematics, North Dakota State University, ND, USA

 

Seminarios impartidos por el Prof. Nikita Barabanov, Dep. of Mathematics, North Dakota State University, ND, USA.

 

 

Seminario 1: Algebraic Riccati equations and inequalities


Abstract: We consider the ARE and ARI in the most general case, i.e. without any assumptions on matrices involved. We present necessary and sufficient conditions for sol- vability of these equations/inequalities which are given in terms of associated Hamiltonian matrices.


Fecha: Martes, 12 de enero de 2016 a las 15h.

Lugar: Aula seminario del IOC (ETSEIB, H-11).

Duración estimada: sobre 1h 30’.

Seminario 2: Theory of absolute stability

Abstract: We consider the main concepts, problems, ideas and results, including Aizer- man and Kalman conjectures, KYP lemma, classical and a range of advanced frequency domain / LMI-based criteria for absolute stability of systems with continuous and discrete time. The next topic is stability of linear inclusions, where we discuss the main concepts and results including extremal norm, dual inclusions, Pontryagin maximum principal, necessary and sufficient conditions for stability in terms of linear algebra and Fourier analysis. The last topic concerns absolute stability in infi dimensional spaces: pro- blem setting, main technique, the case of unbounded operators, application to systems with delays.


Fecha: Miércoles, 13 de enero de 2016. Primera parte 1 a las 11h, segunda parte a las 15h.

Lugar: Aula seminario del IOC (ETSEIB, H-11).

Duración estimada: 2h cada parte.

 

 

 

Nikita Barabanov received the M.Sc. and Ph.D. degrees in mathematics from Leningrad University, USSR, in 1976 and 1979 respectively, and the Doctor of Science Degree from Kiev Institute of Cybernetics, USSR, in 1990. Between 1979 and 2002 he has been with St. Peters- burg Electrotechnical University, Russia, where he has got a position of Full Professor since 1991. Since 2002 he is with the department of Mathematics of North Dakota State University. He had Visiting Professor’s positions in Ford Motor Company (USA), Newcastle University (Australia), Perth University (Australia), and Supelec (Paris). He is the author of more than 70 scientific papers in peer-reviewed journals. He was a supervisor of Ph.D. students in applied mathematics and control theory, and member of Ph.D. committees in Russia, Australia, France, and USA. He was a winner of many grants in control theory and diff tial equations. In 1980 he has got the Award of the Leningrad Mathematical Society. He is a member of Leningrad Mathematical Society and American Mathematical Society.