This paper addresses the problem of identiication of a class of nonlinear channels which are structured as a cascade of a Linear Time-Invariant (LTI) lter, a Zero-Memoryless Non-Linearity (ZMNL) and a LTI lter. Such models are appropriate to describe satellite communication channels, where the nonlinear distortions are due to on-board satellite ampliiers and the linear lters model multipath eee...

This paper presents a set of optimal filtering results for a class of kinematic systems with particular application to the estimation of linear quantities in Integrated Navigation Systems for mobile platforms. At the core of the proposed methodology there is a time varying orthogonal Lyapunov coordinate transformation that renders the overall system dynamics linear time invariant (LTI). The des...

This paper addresses the control of linear systems with input saturations. We seek a controller that guarantees for the closed loop system: (i) stability for a given polytope of initial conditions, (ii) a prescribed weak L 2 gain attenuation between inputs and outputs of interest. Two approaches are proposed based on: (i) ensuring that the controller never saturates: the obtained controller is ...

In this brief, the problem of the pole assignment of a linear time invariant (LTI), discrete/continuous multiple inputs/multiple outputs (MIMO) time system via output feedback is considered. The problem is reduced to the minimization of the distance of the desired characteristic polynomial from the characteristic polynomial of the under output feedback control law system at the unit circle. Num...

This paper studies the global asymptotic stability of a class of fuzzy systems. It demonstrates the equivalence of stability properties of fuzzy systems and linear time invariant (LTI) switching systems. A necessary condition and a sufficient condition for the stability of such systems are given, and it is shown that under the sufficient condition, a common Lyapunov function exists for the LTI ...

1. Explain why difference equations result from digital control of analog systems. 2. Obtain the z-transform of a given time sequence and the time sequence corresponding to a function of z. 3. Solve linear time-invariant (LTI) difference equations using the z-transform. 4. Obtain the z-transfer function of an LTI system. 5. Obtain the time response of an LTI system using its transfer function o...

The original version of this paper appeared in Linear Algebra and its Applications, volume 430, pp.34 40, 2009. Here we correct a slight gap in the statement and proof of Lemma 3.1 in that paper. We revisit the theorem of Barker, Berman and Plemmons on the existence of a diagonal quadratic Lyapunov function for a stable linear time-invariant (LTI) dynamical system [1]. We use recently derived r...

In this paper we investigate event-triggered controllers for dynamic output feedback control of Linear Time Invariant (LTI) systems. We propose a systematic methodology for designing implicitly verified event-triggered dynamic output feedback controllers for LTI systems that are observable and controllable. Event-triggering conditions for sampled-data implementation of the observer and the cont...

We address the global stabilization of linear time-invariant (LTI) systems when the magnitude of the control input and its successive time derivatives, up to an order p∈N, are bounded by prescribed values. We propose a static state feedback that solves this problem for any admissible LTI systems, namely for stabilizable systems whose internal dynamics has no eigenvalue with positive real part. ...

Sample rate conversion (SRC) with rational factors can be realized by interpolation followed by decimation, where CIC-Filters [1] can be chosen for either. However, the necessary increase of the sample rate that goes with the interpolation is not feasible in most RF-applications. Therefore a time-variant implementation of CIC-filters is presented which circumvents the high intermediate sample r...