This paper deals with the decoupling problem of previewed signals. The discrete time case is considered. In this domain previewing a signal by p steps means that the sample at step k + p of the signal to be decoupled is available at instant k. New necessary and sufficient conditions are proposed for the problem with stability to be solved. These conditions are constructive, easily checkable and...

In undergraduate (and graduate) courses, when ARMA models are studied, the timeinvariant case is usually considered-where the coefficients of the systems are constant functions of time. In this paper, a program is written to allow students to study the stability of such systems where there are perturbations in the coefficients-thus creating a time-varying system. The bounded-input bounded-outpu...

We study the stabilizability of a linear controllable system using state derivative feedback control. As a special feature the stabilized system may be fragile, in the sense that arbitrarily small modelling and implementation errors may destroy the asymptotic stability. First, we discuss the pole placement problem and illustrate the fragility of stability with examples of a different nature. We...

This paper studies a class of models in which agents’ expectations influence the actual dynamics while the expectations themselves are the outcome of some recursive processes with bounded memory. Under the assumptions of heterogeneous expectations (or beliefs) and that the agents update their expectations by recursive Land general aL-processes, the dynamics of the resulting expectations and rec...

It is well-known that non-cooperative and cooperative game theory may yield different solutions to games. These differences are particularly dramatic in the case of truels, or threeperson duels, in which the players may fire sequentially or simultaneously, and the games may be one-round or n-round. Thus, it is never a Nash equilibrium for all players to hold their fire in any of these games, wh...

Economists were interested in economic stabilization policies as early as the 1930’s but the formal applications of stability theory from the classical control theory to economic analysis appeared in the early 1950’s when a number of control engineers actively collaborated with economists on economic stability and feedback mechanisms. The theory of optimal control resulting from the contributio...