Corrections to "L2 -characteristic classes of Maslov–Trofimov of hamiltonian systems on the Lie algebra of the upper triangular matrices" (Fund. Math. 156 (1998), 99–110)
Could the classical relativistic electron be a strange attractor?
Coupled string-beam equations as a model of suspension bridges
We consider nonlinearly coupled string-beam equations modelling time-periodic oscillations in suspension bridges. We prove the existence of a unique solution under suitable assumptions on certain parameters of the bridge.
Critical configurations of planar robot arms
It is known that a closed polygon P is a critical point of the oriented area function if and only if P is a cyclic polygon, that is, P can be inscribed in a circle. Moreover, there is a short formula for the Morse index. Going further in this direction, we extend these results to the case of open polygonal chains, or robot arms. We introduce the notion of the oriented area for an open polygonal chain, prove that critical points are exactly the cyclic configurations with antipodal endpoints and derive...
Critical diffusions
Critical Point Theorems for Indefinite Functionals.
Cruising in a central force field.
Darboux motions in
Das Oszillator-Kepler Problem und die Lie-Algebra.
Decentralized control and synchronization of time-varying complex dynamical network
A new class of controlled time-varying complex dynamical networks with similarity is investigated and a decentralized holographic-structure controller is designed to stabilize the network asymptotically at its equilibrium states. The control design is based on the similarity assumption for isolated node dynamics and the topological structure of the overall network. Network synchronization problems, both locally and globally, are considered on the ground of decentralized control approach. Each sub-controller...
Decomposition of the symptom observation matrix and grey forecasting in vibration condition monitoring of machines
With the tools of modern metrology we can measure almost all variables in the phenomenon field of a working machine, and many of the measured quantities can be symptoms of machine conditions. On this basis, we can form a symptom observation matrix (SOM) intended for condition monitoring and wear trend (fault) identification. On the other hand, we know that contemporary complex machines may have many modes of failure, called faults. The paper presents a method of the extraction of the information...
Description lagrangienne d'un boson scalaire à l'aide d'un triplet nucléaire
Design of robust gain scheduled controller using gain performance
This paper is devoted to robust gain scheduled PID controller design with performance for the linear time varying (LPV) uncertain system with polytopic uncertainties. The novel approach of robust controller design ensures that the obtained design procedure is convex with respect to both plant uncertainties (polytopic system) and gain scheduling parameters and gives less conservative results. Modified design procedure should be used to obtain a robust controller or robust switched controller (ideal,...
Determination of coupled sway, roll, and yaw motions of a floating body in regular waves.
Determinazione della classe delle precessioni generalizzate regolari con asse di precessione verticale del solido pesante asimmetrico
Determinazione delle classi di moto del solido pesante caratterizzate da un invariante polinomiale
Determining the domain of attraction of hybrid non–linear systems using maximal Lyapunov functions
In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions in a rational functional form approximating a maximal Lyapunov function that can be used to find an estimation for the DOA. Based on this idea, an improved method has been developed and implemented in a Mathematica-package to find such Lyapunov functions for a class of hybrid (piecewise...
Determinism and martingale decompositions of strictly stationary random processes
Deterministické fyzikální soustavy s chaotickým chováním
Die Ähnlichkeitsbewegungen beim allgemeinen ?-Körperproblem