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- Stepán Papácek, Sergej Celikovský, Branislav Rehák, Dalibor Stys
- Mathematics and Computers in Simulation
- 2010

A method for parameter estimation of two timescale model of photosynthesis and photoinhibition is presented. The model structure coincides with the earlier mechanistic concept of photosynthetic factory by Eilers and Peeters, however, our formulation respects the decomposition of the phase-space into the fast phase x A , and the slow one, x B. The… (More)

- Branislav Rehák, Sergej Celikovský, Stepán Papácek
- IEEE Trans. Automat. Contr.
- 2008

- Noboru Sakamoto, Branislav Rehák
- CDC-ECE
- 2011

This paper presents iterative methods for computing center and center-stable manifolds. The methods are based on the contraction mapping theorem and compute flows on the invariant manifolds. An important application includes the design of optimal output regulators. It will be shown that the center manifold algorithm solves the regulator equation and the… (More)

- Branislav Rehák, Sergej Celikovský
- Automatica
- 2008

A numerical method to solve the so-called regulator equation is presented here. This equation consists of partial differential equations combined with algebraic ones and arises when solving the output-regulation problem. Solving the regulator equation is becoming difficult especially for the nonminimum phase systems where reducing variables against… (More)

- Branislav Rehák, Sergej Celikovský, Javier Ruiz-León, Jorge Orozco-Mora
- Kybernetika
- 2009

- Branislav Rehak
- 2013 IEEE Conference on Cybernetics and…
- 2013

An observer for a polynomial system with fixed time delays is proposed. The design relies on the sum-of-squares technique. Simulations are presented, ability of the algorithm is demonstrated on the FitzHugh-Nagumo neuron model.

- Branislav Rehák
- 11th IEEE International Conference on Control…
- 2014

The topic of the paper is a procedure for observer design for polynomial systems. The design is based on sum-of-squares through construction of suitable Lyapunov-Krasovskii functionals. As the resulting problem is not convex, an iterative formula is proposed to obtain the solution. Estimates of observation error are derived, the usage of the method is… (More)

- Branislav Rehák
- ITC
- 2015

- B lażem Cichy, Andreas Rauh, Harald Aschemann, Eric Rogers, Branislav Rehák
- 2016

An unconditionally stable finite difference scheme for systems whose dynamics are described by a fourth-order partial differential equation is developed with the use of a regular hexagonal grid. The scheme is motivated by the well-known Crank-Nicolson discretization that was originally developed for second-order systems and it is used to develop a discrete… (More)