We study the dynamics of Lyapunov vectors in various models of one-dimensional distributed systems with spacetime chaos. We demonstrate that the vector corresponding to the maximum exponent is always localized and the localization region wanders irregularly. This localization is explained by interpreting the logarithm of the Lyapunov vector as a roughening interface. We show that for many syste...

Power systems exhibit various modes of oscillation due to interactions among system components. Many of the oscillations are due to synchronous machine rotors swinging relative to each other. Controllable Series Devices (CSD), i.e. series connected Flexible AC Transmission Systems (FACTS) devices, such as Unified Power Flow Controller (UPFC), Controllable Series Capacitor (CSC) and Quadrature B...

This paper presents a constructive method for showing exponential stability of autonomous nonlinear systems consisting of state-dependent weighted linear systems. This kind of system representation is common in for instance fuzzy systems or is the result of an exact or approximative description of an arbitrary nonlinear vector field. Stability is shown by joining multiple local Lyapunov functio...

The neutron density is one of the most important dynamical parameters in a reactor. It is directly related to the control and stability of the reactor power. Any change in applied reactivity and some of dynamical parameters in the reactor causes a change in the neutron density. Lyapunov exponent method is a powerful tool for investigating the range of stability and the transient behavior of the...

– The design process for analog network design is formulated as a dynamic controllable system. A special control vector is defined to redistribute the compute expensive between a network analysis and a parametric optimization. This redistribution permits the minimization of a computer time. The problem of the minimal-time network design can be formulated in this case as a classical problem of t...

In this paper, global uniform exponential stability of perturbed dynamical systems is studied by using Lyapunov techniques. The system presents a perturbation term which is bounded by an integrable function with the assumption that the nominal system is globally uniformly exponentially stable. Some examples in dimensional two are given to illustrate the applicability of the main results.

in this paper, the time-like hyperruled surfaces in the minkowski 4-space and their algebraicinvariants are worked. also some characteristic results are found about these algebraic invariants.

One of the actual problems for theory and practice control dynamic objects is development methods research synthesis systems multidimensional objects. The paper proposes a universal approach to construct Lyapunov vector functions directly from equation state system new gradient-speed method study aperiodic robust stability linear with m inputs n outputs. automatic based on construction systems....

The problem of rigid body pose estimation is treated in discrete-time via discrete Lagrange-d'Alembert principle and Lyapunov methods. position attitude the are to be estimated simultaneously with help vision inertial sensors. For pose, continuous-time kinematics equations discretized appropriately. We approach as minimising energies stored errors quantities. With measurements obtained through ...