Prof. Arkadiy Kustov , PhD

Institute of Control Sciences 

Of Russian Academy of Sciences,

Moscow, Russia

September 5, 2018


From the Anisotropy-based Theory towards the σ-entropy Theory



    The well-known H2 and H theories of construction of the optimal controllers minimizing the impact of the external perturbations on the output of a time invariant linear system rely on using the H2 and Hnorms of the matrix-valued transfer functions of closed systems as the performance criteria of the transfer functions. The H2 theory assumes that the system input receives a random signal which is a Gaussian white noise. The H theory assumes that the input perturbation is a quadratically summable signal.

    The concept of the anisotropic norm is introduced within the framework of the anisotropic control theory.  The anisotropic norm lies in between the  and H norms of the system. The anisotropic norm of the linear discrete time invariant system is the measure of the sensitivity of system output to random input with certain deviation from the white-noise sequence.

    The main purpose of this talk is to suggest a control theory of continuous systems with norm-bounded deterministic or stochastic perturbations by analogy with the anisotropic control theory.



ArkadiyKustov was born in Russia on March 24, 1987. He received magister eng.-math. and postgraduate phys.-math. degrees from Bauman Moscow Technical University in 2010, and from V.A. TrapeznikovInstitute of Control Sciences (ICS) of Russian Academy of Sciences in 2014, respectively. He joined the Laboratory of Dynamics of Control Systems of ICS in 2011 as Research Assistant. Since 2017, he has been Senior Research Assistant. His research activities concentrate on the Anisotropy-based Theory of Stochastic Robust Control and Estimation exploiting control theoretic methods, H2 and H∞ theoretic approaches, information theory and some related topics.









Awaiting confirmation of the Keynote speakers, more information will be published in this page.

Important Dates


September  5-7, 2018 

Workshops/Tutorial Courses:

September  3-4, 2018

Full Manuscript:

Extended to June 15, 2018  

Review Notification:

Before July 6, 2018

Final Revised manuscript:

August  6, 2018