Teorie katastrof: souvislosti a aplikace. II
The geometry of convex cones associated with the Lyapunov inequality and the common Lyapunov function problem.
The La Salle invariance principle for multidimensional dynamical systems
Torsional and longitudinal vibration of suspension bridge subject to aerodynamic forces.
Two-input control systems on the euclidean group SE (2)
Any two-input left-invariant control affine system of full rank, evolving on the Euclidean group SE (2), is (detached) feedback equivalent to one of three typical cases. In each case, we consider an optimal control problem which is then lifted, via the Pontryagin Maximum Principle, to a Hamiltonian system on the dual space 𝔰𝔢 (2)*. These reduced Hamilton − Poisson systems are the main topic of this paper. A qualitative analysis of each reduced system is performed. This analysis...