The response to forcing of a 2D laminar premixed slot flame is investigated by means linear analysis, based on the compressible flow equations with two-step reaction scheme for methane combustion. transfer function (FTF) computed from this model, in excellent agreement reference nonlinear calculations. input-output gain between externally applied and global heat release rate computed, peaks are...

Block-oriented models are often used to model nonlinear systems. These models consist of linear dynamic (L) and nonlinear static (N) sub-blocks. This paper addresses the generation of initial estimates for a Wiener-Hammerstein model (LNL cascade). While it is easy to measure the product of the two linear blocks using a Gaussian excitation and linear identification methods, it is difficult to sp...

The well-known positive real lemma characterizes positive realness of transfer functions of timeinvariant linear systems via the solvability of certain linear matrix inequalities. In this paper, we propose an extension of the positive real lemma and the underlying linear matrix inequalities to descriptor systems. We show that the solvability of these linear matrix inequalities is sufficient and...

We recall the main facts about the representation of regular linear systems, essentially that they can be described by equations of the form x(t) = Ax(t) + Bu(t), y(t) = Cx{t) + Du(t), like finite dimensional systems, but now A, B and C are in general unbounded operators. Regular linear systems are a subclass of abstract linear systems. We define transfer functions of abstract linear systems vi...

Phase locked loops in 10 Gb/s and faster data links are low phase noise devices. Characterization of their phase jitter transfer functions is difficult because the intrinsic noise of the PLLs is comparable to the phase noise of the reference clock signal. The problem is solved by using a linear model to account for the intrinsic noise. This study also introduces a novel technique for measuring ...

1.0.1 Description of the problem We consider two m × p strictly proper transfer functions T (s) = C(sI n − A) −1 B, ˆ T (s) = ˆ C(sI k − ˆ A) −1ˆB, (1.1) of respective Mc Millan degrees n and k < n. We are interested in finding the necessary and sufficient conditions for the existence of projecting matrices Z, V ∈ C n×k such that and in characterizing the set of all transfer functionsˆT (s) tha...

This paper is concerned with the full-order H∞ filtering problem for uncertain differential linear repetitive processes (LRPs). uncertain differential linear repetitive process (LRP) assumed to be stable along the pass, our attention is focused on the design of a full-order filter, which guarantees the filtering error process to be stable along the pass, and minimizes an upper bound for theH∞ n...

We introduce a modification of the classical Hawkes’ processes in which also inhibitory connections between units are allowed. This formalism is used to model networks of neurons characterized by an exponential transfer function. The expected intensities of the process are approximated by a differential system of first-order and the stability of the solutions of this equation is studied. We dis...

The aim of this paper is to cope with the H∞ control synthesis for time-delay linear systems. We extend the use of a finite order LTI system, called comparison system to H∞ analysis and design. Differently from what can be viewed as a common feature of other control design methods available in the literature to date, the one presented here treats time-delay systems control design with classical...