The impossibility theorem of Dekel, Lipman and Rustichini [8] has been thought to demonstrate that standard state-space models cannot be used to represent unawareness. We first show that Dekel, Lipman and Rustichini do not establish this claim. We then distinguish three notions of awareness, and argue that although one of them may not be adequately modeled using standard state spaces, there is ...

The paper presents realization theory of discrete-time linear switched systems (abbreviated by DTLSSs). We present necessary and sufficient conditions for an input-output map to admit a discrete-time linear switched state-space realization. In addition, we present a characterization of minimality of discrete-time linear switched systems in terms of reachability and observability. Further, we pr...

This paper is intended to be a continuation of Habets and van Schuppen [2004] and Habets et al. [2006], which address the control problem for piecewise-affine systems on an arbitrary polytope or a family of these. Our work deals with the underlying combinatorics of the underlying discrete system. Motivated by Forman [1998], on the triangulated state space we define a combinatorial vector field,...

State-set search is state space search when the states being manipulated by the search algorithm are sets of states from some underlying state space. State-set search arises commonly in planning and abstraction systems, but this paper provides the first formal, general analysis of state-set search. We show that the state-set distance computed by planning systems is different than that computed ...

In the aero-elastic analysis of wind turbines based on blade element theory, the need to include a model of the local, two-dimensional instationary aerodynamic loads, commonly referred to as dynamic stall has become obvious in the last years. In this contribution we describe an alternative choice for such a model, based on [19]. Its derivation is governed by the flow physics, thus enabling inte...

There are various fractional order systems existing. This paper deals with the modelling of fractional order systems using an old and unique model structure i.e. state space model. The fractional order process system can be mathematically modelled by state space model. Simulation results validated that the fractional order model using state space is better as compared to other models such as fi...

This paper applies a state-space approach to estimate the implicit inflation target of the South African Reserve Bank (SARB) since the adoption of the Inflation Targeting (IT) framework. The paper‟s findings are two. First, although the official inflation target range is 3–6 percent, in practice, the SARB seems to have aimed for the upper segment of the band (41 2 –6 percent) for most of the p...

Problem 1 (a) We will compute theH2 norm ofG using state-space methods (see Section 2.6 in DFT). We begin by finding a minimal state-space representation of the system with transfer function G(s). Assuming u(0) = y(0) = 0 as usual, we have: sy(s) + 2sy(s) + sy(s) + y(s) = u(s) ⇔ ... y (t) + 2ÿ(t) + ẏ(t) + y(t) = u(t) Defining x1 = y, x2 = ẏ, x3 = ÿ, the corresponding state-space representation ...