Michael Šebek

ORCID: 0000-0003-0927-2988
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About
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Research Areas
  • Numerical methods for differential equations
  • Stability and Control of Uncertain Systems
  • Matrix Theory and Algorithms
  • Advanced Control Systems Optimization
  • Nonlinear Dynamics and Pattern Formation
  • Control Systems and Identification
  • Distributed Control Multi-Agent Systems
  • Traffic control and management
  • Neural Networks Stability and Synchronization
  • Fault Detection and Control Systems
  • Advanced Control Systems Design
  • Psychotherapy Techniques and Applications
  • Transportation Planning and Optimization
  • Polynomial and algebraic computation
  • Adaptive Control of Nonlinear Systems
  • Numerical Methods and Algorithms
  • Digital Filter Design and Implementation
  • Neural dynamics and brain function
  • Advanced Optimization Algorithms Research
  • Stability and Controllability of Differential Equations
  • Building Energy and Comfort Optimization
  • Evacuation and Crowd Dynamics
  • Vehicle Dynamics and Control Systems
  • Slime Mold and Myxomycetes Research
  • Target Tracking and Data Fusion in Sensor Networks

Leibniz Institute for Catalysis
2012-2024

Northeastern University
2020-2023

Czech Technical University in Prague
2012-2021

Saint Louis University
2014-2020

UCLouvain Saint-Louis Brussels
2014-2015

University of Rostock
2012-2013

Charles University
1998-2010

Czech Academy of Sciences, Institute of Information Theory and Automation
1999-2009

Center for Economic Research and Graduate Education – Economics Institute
2008

University of California, Santa Cruz
2006

Recent results on positive polynomials are used to obtain a convex inner approximation of the stability domain in space coefficients polynomial. An application design fixed-order controllers robustly stabilizing linear system subject polytopic uncertainty is then proposed, based matrix inequality optimization. The key ingredient procedure resides choice central Several numerical examples illustrate relevance approach.

10.1109/tac.2003.814103 article EN IEEE Transactions on Automatic Control 2003-07-01

Several algorithms are presented for the J-spectral factorization of a para-Hermitian polynomial matrix. The four that discussed based on diagonalization, successive factor extraction, interpolation, and solution an algebraic Riccati equation, respectively. paper includes special algorithm unimodular matrices deals with canonical, noncanonical, nearly noncanonical factorizations.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

10.1109/9.272326 article EN IEEE Transactions on Automatic Control 1994-01-01

This paper tackles networked distributed observer and controller design problem over directed graph topology for spatially interconnected systems. Traditional centralized methods suffer from a lack of adaptability to variations incurred by network reconfiguration, communication failures, redundant sensors integration. In this paper, handle the foregoing limitations imposed design, state observers are designed in manner facilitated pinning control precepts. On one hand, novel approach adds...

10.1109/tcst.2017.2769019 article EN IEEE Transactions on Control Systems Technology 2017-11-22

Significance Inferring connections forms a critical step toward understanding large and diverse complex networks. To date, reliable efficient methods for the reconstruction of network topology from measurement data remain challenge due to high complexity nonlinearity system dynamics. These obstacles also form bottleneck analyzing controlling dynamic structures (e.g., synchrony) collective behavior in such The novel contribution this work is develop unified data-driven approach reliably...

10.1073/pnas.1721286115 article EN cc-by-nc-nd Proceedings of the National Academy of Sciences 2018-08-27

Herein, we report a photoexcited base-metal-catalyzed selective desaturation of aliphatic amides and imides. The reaction is catalyzed by base-metal cobalt complex under visible-light irradiation. This transformation can be efficiently processed at room temperature enables the synthesis valuable cyclic acyclic enamides enimides from abundant chemicals. Density functional theory (DFT) analysis, electron paramagnetic resonance (EPR), UV–vis studies rationalized discovered reactivity catalyst...

10.1021/acscatal.2c01723 article EN ACS Catalysis 2022-07-11

We consider platoons composed of identical vehicles and controlled in a distributed way, that is, each vehicle has its own onboard controller. The regulation errors spacing to the immediately preceeding following are weighted differently by controller, which thus implements an asymmetric bidirectional control scheme. weights can vary along platoon. prove such have nonzero uniform bound on second smallest eigenvalue graph Laplacian matrix-the Fiedler eigenvalue. Furthermore, it is shown...

10.1109/tac.2014.2366980 article EN IEEE Transactions on Automatic Control 2014-11-04

The Shannon entropy of a time series is standard measure to assess the complexity dynamical process and can be used quantify transitions between different regimes. An alternative way quantifying based on state recurrences, such as those available in recurrence quantification analysis. Although varying definitions for recurrence-based entropies have been suggested so far, some cases they reveal inconsistent results. Here we suggest method weighted plots show that associated positively...

10.1103/physreve.90.042919 article EN Physical Review E 2014-10-21

We present an approach to generate chimera dynamics (localized frequency synchrony) in oscillator networks with two populations of (at least) elements using a general method based on delayed interactions linear and quadratic terms. The coupling design yields robust chimeras through phase-model-based the delay ratio components interactions. demonstrate Brusselator model experiments electrochemical oscillators. technique opens way directly bridge phase models real-world networks.

10.1103/physrevlett.119.168301 article EN publisher-specific-oa Physical Review Letters 2017-10-19

The possibility of achieving a deadbeat regulation and tracking in linear multivariable systems independently their initial conditions is investigated. Necessary sufficient for the existence various controllers are established constructive way. A detailed analysis control sequence generated by any controller then presented.

10.1109/tac.1984.1103621 article EN IEEE Transactions on Automatic Control 1984-08-01

We consider platoons composed of identical vehicles with an asymmetric nearest-neighbor interaction. restrict ourselves to intervehicular coupling realized dynamic arbitrary-order onboard controllers such that the immediately preceding vehicle is proportional following vehicle. Each modeled using a transfer function and we impose no restriction on order The only requirement controller model platoon stable for any number vehicles. described by in convenient product form. investigate how...

10.1109/tac.2016.2594169 article EN IEEE Transactions on Automatic Control 2016-07-27

The stability domain in the space of coefficients a polynomial is nonconvex set general. In this note, we propose new convex ellipsoidal inner approximation derived via optimization over linear matrix inequalities. As by-product, obtain simple sufficient conditions for that may prove useful robust control design.

10.1109/tac.2003.820161 article EN IEEE Transactions on Automatic Control 2003-12-01

The development of highly efficient and stable visible-light-driven photocatalysts for the removal herbicide 2,4-dichlorophenoxyacetic acid (2,4-D) from water is still a challenge. In this work, Bi

10.3390/molecules29143255 article EN cc-by Molecules 2024-07-10

Necessary and sufficient conditions are formulated for the zeros of an arbitrary polynomial matrix to belong a given region D complex plane. The stem from general optimization methodology mixing quadratic semidefinite programming, LFRs rank-one LMIs. They expressed as LMI feasibility problem that can be tackled with widespread powerful interior-point methods. Most importantly, D-stability combined other arising in robust stability analysis.

10.1080/00207170110041006 article EN International Journal of Control 2001-01-01

Abstract The simple deposition of tailored Rh or Pt nanoparticles (NP) on γ‐Al 2 O 3 results in active, selective, and stable catalysts for partial oxidation methane (POM) to syngas. NP were prepared by the ethylene glycol method strong alkaline solution. This approach was found be a promising way providing active metallic catalyzing POM reaction. sizes determined small angle X‐ray scattering (SAXS) solution transmission electron microscopy (TEM) alumina very close. result highlights...

10.1002/cctc.201200096 article EN ChemCatChem 2012-06-22

Experiments with networks of discrete reactive bistable electrochemical elements organized in regular and nonregular tree are presented to confirm an alternative the Turing mechanism for formation self-organized stationary patterns. The results show that pattern can be described by identification domains activated individually or combinations. method also enabled localization chemical reactions network substructures critical sites whose activation complete system. Although experiments were...

10.1002/anie.201607030 article EN Angewandte Chemie International Edition 2016-09-21

Synchronization is a widespread phenomenon observed in physical, biological, and social networks, which persists even under the influence of strong noise. Previous research on oscillators subject to common noise has shown that can actually facilitate synchronization, as correlations dynamics be inherited from itself. However, many spatially distributed such mammalian circadian system, different experience effectively uncorrelated. Here, we show uncorrelated fact enhance synchronization when...

10.1103/physrevlett.125.094101 article EN Physical Review Letters 2020-08-24
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