In this paper we consider linear systems with possibly exponentially unstable eigenvalues and with saturating input. It is shown that for a class of unstable systems there exists a bounded linear stabilizing controller for sets of initial conditions which may be arbitrary large and bounded in some directions of the state space while other directions must be bounded. Hence the results are strong...

This paper demonstrates the application of a numerical continuation method to dynamic piecewise aeroelastic systems. The aeroelastic system is initially converted into a state space form, and then into a set of equations which solve the system as the motion moves between different linear zones in a freeplay motion. Once an initial condition is found that satisfies these sets of equations a cont...

We consider a pair of noncommutative lumps in the noncommutative Yang–Mills/M(atrix) model. In the case when the lumps are separated by a finite distance their “polarisations” do not belong to orthogonal subspaces of the Hilbert space. In this case the interaction between lumps is nontrivial. We analyse the dynamics arisen due to this interaction in both naive approach of rigid lumps and exactl...

This paper presents a unified treatment of constant mean curvature (CMC) surfaces in the simply-connected 3-dimensional space forms R 3 , S 3 and H 3 in terms of meromorphic loop Lie algebra valued 1-forms. We discuss global issues such as period problems and asymptotic behaviour involved in the construction of CMC surfaces with non-trivial topology. We prove existence of new examples of comple...

This paper presents a micro-model of knowledge creation through the interactions among a group of people. Our model incorporates two key aspects of the cooperative process of knowledge creation: (i) heterogeneity of people in their state of knowledge is essential for successful cooperation in the joint creation of new ideas, while (ii) the very process of cooperative knowledge creation a¤ects t...

We consider a pair of noncommutative solitons in the noncommutative Yang–Mills/M(atrix) model. In the case when the solitons are separated by a finite distance their “polarisations” do not belong to orthogonal subspaces of the Hilbert space. In this case the interaction between solitons is nontrivial. We analyse the dynamics arisen due to this interaction in both naive approach of rigid soliton...

Reliable and efficient comparison of two shape contours is presented. The shape contours are described by polygonal approximations derived using the linear diffusion equation solution. The vertices are extracted from the curve evolution generated in different scales, using the original contour as the initial condition. They are chosen between the points where curvature extremes exist, using a p...

In the article we find evidence that forecasts of music descriptor time series can still be performed at mid-term or relatively long horizons. In addition, we show that this ability becomes crucial for a real-world application, namely the automatic detection of cover songs. However, prediction errors are not as low as one would expect, even for short horizons. Thus, we here investigate in more ...

The fundamental problem on which Ilya Prigogine and the BrusselsAustin Group have focused can be stated briefly as follows. Our observations indicate that there is an arrow of time in our experience of the world (e.g., decay of unstable radioactive atoms like Uranium, or the mixing of cream in coffee). Most of the fundamental equations of physics are time reversible, however, presenting an appa...

The notion of “strong stability” has been introduced in a recent paper [KHP2]. This notion is relevant for state-space models described by physical variables and prohibits overshooting trajectories in the state-space transient response for arbitrary initial conditions. Thus, “strong stability” is a stronger notion compared to alternative definitions (e.g. stability in the sense of Lyapunov or a...