In this paper we define strong and weak common quadratic Lyapunov functions (CQLF’s) for sets of linear time-invariant (LTI) systems. We show that the simultaneous existence of a weak CQLF of a special form, and the non-existence of a strong CQLF, for a pair of LTI systems, is characterised by easily verifiable algebraic conditions. These conditions are found to play an important role in provin...

Lymphoid tissue inducer (LTi) cells have been characterized in mouse as a key cell when secondary lymphoid tissues are organized during development and memory T cells are formed after birth. In addition to their involvement in adaptive immune responses, recent studies show that they contribute to innate immune responses by producing large amount of interleukin (IL)-22 against microbial attack. ...

In this paper we consider the study of the servomechanism problem for multi-input multi-output (MIMO) linear time-invariant (LTI) positive systems. In particular, we present results on the tracking problem of nonnegative constant reference signals for unknown stable MIMO positive LTI systems with nonnegative constant disturbances. Our results exploit the structure of tuning regulators and show ...

We show how to optimize the shape of the transfer function of a linear time invariant (LTI) single-input-single-output (SISO) system. Since any transfer function is rational, this can be formulated as an optimization problem for the coefficients of polynomials. After characterizing the cone of polynomials which are nonnegative on intervals, we formulate this problem using semidefinite programmi...

The estimation of Linear Time Invariant (LTI) models is a standard procedure in System Identification. Any real-life system will however be nonlinear and time-varying, and the estimated model will converge to the LTI second order equivalent (LTI-SOE) of the true system. In this paper we consider some aspects of this convergence and the distance between the true system and its LTI-SOE. We show t...

Malignant tumorswill cause localized temperature increases (LTI) on breast surfacewhich showas spot or vascular patterns in breast infrared thermograms. Thermographic detection of breast cancer now primarily depends on the visual analysis of these patterns by physicians, which is hard to provide objective and quantitative results. In this paper, we propose a new criterion of breast cancer detec...

Hematopoietic lymphoid tissue inducer (LTi) cells are essential for the development of secondary lymphoid tissues including lymph nodes and Peyer's patches. Two transcription factors, the helix-loop-helix inhibitor Id2 and the retinoic acid-related orphan receptor gt (Rorgt), have been shown to be crucial for LTi cell development. However, it remains unclear how the specification of multipotent...

The purpose of these studies was to determine whether the combination of a low-dose local thoracic irradiation (LTI) followed by systemic activation of macrophages with liposomes containing muramyl tripeptide phosphatidylethanolamine (MTP-PE) would significantly decrease established experimental fibrosarcoma lung metastases. Male C3Hf/Kam mice were given i.v. injections of 1 X 10(5) fibrosarcom...

It has recently been shown that a necessary and sufficient condition for the μstabilization of a linear time-invariant (LTI) retarded time-delay system by LTI decentralized finite-dimensional controllers is that the system should not have any μ-decentralized fixed modes with respect to decentralized static feedback. In the present work, we consider the stabilization of such systems by decentral...

In this paper, real time implementation of PI and PID controllers is Investigated for stabilizing an arbitrary-order plant or system. Simple closed loop feedback ,PI controller can overcome all the problems of uncertainties like time delay in LTI (Linear Time Invariant) system.This paper will give us an implortant alogorithm to be imlemented in MATLAB for achieving the robust stability in LTI p...