In this paper we review relevant problems in the modelling of DC-DC converters with switched capacitors. We study several approaches that overcome the exposed modelling difficulties, addressing ideal and nonideal cases and using dynamic equations that are valid in a large signal domain.

In this paper, adaptive control of free-floating space manipulators is considered. The dynamics based on the momentum conservation law for the free-floating space manipulator has non-linear parameterization properties. Therefore, the adaptive control based on a linear parameterization model cannot be used in this dynamics. In this paper, the dynamics of the free-floating space manipulator syste...

By means of Riccati transformation technique, we establish some new oscillation criteria for the third-order nonlinear delay dynamic equations x 3 (t) + p(t)x(τ(t)) = 0 on a time scale T unbounded above, here γ > 0 is a quotient of odd positive integers with p real-valued positive rd-continuous function defined on T. Three examples are given to illustrate the main results.

A system of vertical wells was evaluated for its potential to add moisture into landfilled waste. Leachate (and groundwater) was added through 78 vertical wells installed at three different depths. The results of injection tests performed over a 17month duration are presented in this paper. A total of 17,700 m of leachate and groundwater were injected over ____hours of operation time. No signif...

In this article we establish the uniqueness of solutions to first-order matrix dynamic equations on time scales. These results extend the results presented in [16], to more complex systems of n × n matrices. Following the ideas in [5, Chap 5], we identify Lipschitz conditions that are suitable for generalizing n× n models on time scales.

In this work we establish some new sufficient conditions for oscillation of fourth-order nonlinear neutral delay dynamic equations of the form (a(t)([x(t)− p(t)x(h(t))])) + q(t)x(g(t)) = 0, t ∈ [t0,∞)T, where α and β are quotients of positive odd integers with β ≤ α. 2000 AMS Classification: 34C10, 34C15.

Oscillation criteria for impulsive dynamic equations on time scales are obtained via impulsive inequality. An example is given to show that the impulses play a dominant part in the oscillations of dynamic equations on time scales.