The integer word-length optimization known as range analysis (RA) of the fixed-point designs is a challenging problem in high level synthesis and optimization of linear-time-invariant (LTI) systems. The analysis has significant effects on the resource usage, accuracy and efficiency of the final implementation, as well as the optimization time. Conventional methods in recursive LTI systems suffe...

This study was launched to determine the prognostic significance of local tumor invasiveness (LTI) in 114 patients diagnosed with stage IE/IIE extranodal natural killer (NK)/T-cell lymphoma, nasal type (NTCL). LTI was defined as bony invasion or destruction or tumor invasion of the skin. Complete remission (CR), overall survival (OS), and disease-free survival (DFS) were compared between each g...

In this paper, we address the performance limitation issues in estimation problems. Our purpose is to explicitly relate the best achievable estimation errors with simple plant characteristics. In particular, we study performance limitations in achieving four objectives: (1) estimating the output of an LTI system from its version corrupted by a white noise, (2) estimating a Brownian motion from ...

In this paper, we study the real controllability radius of higher-order linear timeinvariant (LTI) systems, LTI descriptor systems, and time-delay LTI systems. The various radii are defined in terms of real parametric perturbations, and computable formulas are derived using generalized real perturbation values of matrix pairs.

So just what is a Linear Time-Invariant (LTI) system, and why should you care? Systems are used to perform signal processing. The effect of a system on the spectrum of a signal can be analyzed easily if and only if the system is LTI, as we will see in these notes. The ability to design a filter to perform a specific signal processing task (e.g., filter out noise, differentiate, equalize frequen...

We consider uncertain fractional-order linear time invariant (FO-LTI) systems with interval coefficients. Our focus is on the robust controllability issue for interval FO-LTI systems in statespace form. We re-visited the controllability problem for the case when there is no interval uncertainty. It turns out that the stability check for FO-LTI systems amounts to checking the conventional intege...

This paper revisits the definition of linear time-invariant (LTI) stochastic process within a behavioral systems framework. Building on Willems (2013), we derive a canonical representation of an LTI stochastic process and a physically grounded notion of interconnection between independent stochastic processes. We use this framework to analyze the invariance properties enjoyed by distances betwe...

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 γt (Rorγt), have been shown to be crucial for LTi cell development. However, it remains unclear how the specification of multipotent...

The leader-following consensus of multiple linear time invariant (LTI) systems under switching topology is considered. The leader-following consensus problem consists of designing for each agent a distributed protocol to make all agents track a leader vehicle, which has the same LTI dynamics as the agents. The interaction topology describing the information exchange of these agents is time-vary...