In this paper, we propose a procedure to achieve rational approximation to arbitrary fractional order linear time invariant (FO-LTI) systems with sub-optimum H2-norm. Through illustrations, we show that the rational approximation is simple and effective. It is also demonstrated that this sub-optimum approximation method is effective in designing integer order controllers for FO-LTI systems in g...

In this paper, we consider the problem of assessing worst-case H2 performance for MIMO systems and we give an LMI based su4cient condition for robust performance under LTI (not necessarily causal) model uncertainty, having the same complexity as H∞ conditions for the same problem. In addition, we show that this condition is indeed necessary and su4cient for MISO and SIMO systems under a class o...

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...

In this paper, a parametric Fourier series based model (FSBM) for or as an approximation to an arbitrary nonminimum-phase linear time-invariant (LTI) system is proposed for statistical signal processing applications where a model for LTI systems is needed. Based on the FSBM, a (minimumphase) linear prediction error (LPE) filter for amplitude estimation of the unknown LTI system together with th...

Power properties of unbalanced linear time-invariant (LTI) loads in three-phase three-wire circuits at asymmetrical and nonsinusoidal supply voltages are investigated in this paper. It is demonstrated that the supply current of such loads can be decomposed into Currents’ Physical Components (CPC), associated with distinctive physical phenomena in the load. The power equation is developed and it...

The nuclear hormone receptor retinoic acid-related orphan receptor (ROR)gammat is required for the development of lymph nodes (LNs) and Peyer's patches (PPs), as these organs are absent in RORgammat-deficient mice. During fetal life, RORgammat is expressed exclusively in lymphoid tissue-inducer (LTi) cells, a cell type that localizes in developing LNs and PPs. LTi cells express surface lymphoto...

In this paper, we consider three problems, namely, the consensus (synchronization) problem, the model-reference consensus problem, and the regulation of consensus problem, for a network of identical linear time-invariant (LTI) multiinput and multi-output (MIMO) agents. For each problem, we propose a distributed LTI protocol to solve such a problem for a broad class of time-invariant network top...

The realization of a discrete-time, linear, time-invariant (LTI) filter from its impulse response provides insight into the role of linear algebra in the analysis of both dynamical systems and rational functions. For an LTI filter, a sequence of output data measured over some finite period of time may be expressed as the linear combination of the past input and the input measured over that same...

Classical digital speech signal processing assumes linearity, timeinvariance, and Gaussian random variables (LTI-Gaussian theory). In this article, we address the suitability of these mathematical assumptions for realistic speech signals with respect to the biophysics of voice production, finding that the LTI-Gaussian approach has some important accuracy and computational efficiency shortcoming...