Name of the event: The 10th International Congress on Industrial and Applied Mathematics (ICIAM 2023)
Date: 20. 8. 2023 – 25. 8. 2023
Title of the lecture: Exponential stability of linear discrete systems with multiple delays
Lecture annotation:
About prof. Josef Diblík, DrSc
Professor Diblík has been a member of the faculty since 1979. His scientific activities are in the field of applied mathematics with specialisations in areas relevant for technology such as stability of solutions of systems modelled by equations of various types, their controllability and stabilisation. He makes a significant contribution to linking mathematics to technically oriented fields such as in e.g. automatic control systems. His research published in world's leading journals has attracted more than two thousand citations. He is a member of the editorial boards of scientific journals in Hungary, Poland, USA, Czech Republic and Ukraine. His scientific achievements have won him a wide recognition including the M. M. Bogolyubov Prize for outstanding mathematical results (2009, Kiev), membership in the Academy of Sciences of Ukraine Universities (2015) or the City of Brno Award in the field of natural sciences (for 2023). He has been invited to give lectures at several universities in Austria, Germany, Chile, etc. and has been a member of research teams on 25 projects, in which in 13 he has been the principal investigator. He has supervised 17 PhD graduates from both the Czech Republic and abroad.
Invited lecture of Josef Diblík at Waseda University, Tokyo, Japan
Name of the event: The 10th International Congress on Industrial and Applied Mathematics (ICIAM 2023)
Date: 20. 8. 2023 – 25. 8. 2023
Title of the lecture: Exponential stability of linear discrete systems with multiple delays
Lecture annotation:
In terms of recently published results, the study of the stability of discrete systems of equations is attracting considerable attention. The problem of exponential stability of processes modelled by delayed linear discrete systems with multiple delays and constant matrices has been considered. To obtain new results in this area, a new degenerate Lyapunov-Krasovskii functional was used to derive sufficient conditions for exponential stability and an exponential estimate of the norm of the solutions. Although often used in the study of stability, the assumption that the spectral radius of the matrix of linear terms is less than 1 is not applied here.
About prof. Josef Diblík, DrSc
Professor Diblík has been a member of the faculty since 1979. His scientific activities are in the field of applied mathematics with specialisations in areas relevant for technology such as stability of solutions of systems modelled by equations of various types, their controllability and stabilisation. He makes a significant contribution to linking mathematics to technically oriented fields such as in e.g. automatic control systems. His research published in world's leading journals has attracted more than two thousand citations. He is a member of the editorial boards of scientific journals in Hungary, Poland, USA, Czech Republic and Ukraine. His scientific achievements have won him a wide recognition including the M. M. Bogolyubov Prize for outstanding mathematical results (2009, Kiev), membership in the Academy of Sciences of Ukraine Universities (2015) or the City of Brno Award in the field of natural sciences (for 2023). He has been invited to give lectures at several universities in Austria, Germany, Chile, etc. and has been a member of research teams on 25 projects, in which in 13 he has been the principal investigator. He has supervised 17 PhD graduates from both the Czech Republic and abroad.
| Responsible person | Ing. et Ing. arch. Jana Němcová |
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| Date of publication |