By integrating dynamic programming with the theory of order preserving dynamical systems (Hirsch (1982), Smith (1995)) this paper develops a new approach to stability analysis in continuous-time dynamic optimization models. The main results provide simple conditions on the primitives of a model which imply that steady states exist and are globally stable for initial conditions in an open dense ...

We consider coevolution of site status and link structures from two different initial networks: a one dimensional Ising chain and a scale free network. The dynamics is governed by a preassigned stability parameter S, and a rewiring factor φ, that determines whether the Ising spin at the chosen site flips or whether the node gets rewired to another node in the system. This dynamics has also been...

ABSTRACT Cyclic averaging techniques are applied to the CLL resonant power converter to provide steady-state converter characteristics for rapid stress analysis. This is shown to facilitate the determination of mode duties and initial conditions through knowledge of the operational modes of the rectifier at various operating frequencies. Comparisons are made with FMA-based cyclic analyses, and ...

If a discrete elastic system with frictional interfaces is subjected to periodic loading, the eventual steady-state response may depend on the initial condition or an initial transient phase of the loading history. In cases where shakedown is possible, it is known that it will occur for all initial conditions if there is no coupling between slip displacements and normal contact tractions, but t...

We consider the problem of management of an aquatic invader spreading in a lake system. We assume that each year the invader can be removed from a certain proportion of invaded lakes, which depends on the selected intensity of control. Control decisions are generated and compared for an optimally controlled system and for a static optimization across asymptotic steady states. Control close to e...

Abstract Nature is never at a steady state. Natural history generated by ever-new and ever-interacting forces that produce continuous changes. At virtually all timescales, the geological record shows these changes do not cancel each other out and, thus, state utopic. However, we need of equilibrium as starting point for modelling Nature, steady-state condition widely used reference in idealisat...

In this paper, stabilizing problems in control design are addressed for linear discrete-time systems, reflecting equality constraints tying together some state variables. Based on an enhanced representation of the bounded real lemma for discretetime systems, the existence of a state feedback control for such conditioned stabilization is proven, and an LMI-based design procedure is provided. The...

In this paper we investigate long-term (steady-state) behavior of a one-dimensional array of chaotic circuits for diierent connection strength. Using computer experiments we have connrmed the existence of a very large number of stable steady{states depending only on the initial conditions applied in the individual cells and on the connection strength. Of special interest is the coexistence of l...

When making contact with an object, a robot can use a tactile sensor consisting of a heating element and a temperature sensor to recognize the object’s material based on conductive heat transfer from the tactile sensor to the object. When this type of tactile sensor has time to fully reheat prior to contact and the duration of contact is long enough to achieve a thermal steady state, numerous m...

Whereas stable linear systems with inputs have a unique steady-state solution, which is independent on the initial conditions and only depends on the input signals, nonlinear systems in general do not possess this property. Due to the lack of this property it is often hard to evaluate the exact behavior of the system, and thus to evaluate the ‘exact’ performance. In this article we present the ...