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State-of-the-art digital circuit design tools almost exclusively rely on pure and inertial delay for timing simulations. While these provide reasonable estimations at very low execution time in the average case, their ability to cover…

Other Computer Science · Computer Science 2021-07-20 Jürgen Maier

Dynamic digital timing analysis is a promising alternative to analog simulations for verifying particularly timing-critical parts of a circuit. A necessary prerequisite is a digital delay model, which allows to accurately predict the…

Other Computer Science · Computer Science 2023-04-10 Daniel Öhlinger , Ulrich Schmid

Modern digital circuit design relies on fast digital timing simulation tools and, hence, on accurate binary-valued circuit models that faithfully model signal propagation, even throughout a complex design. Unfortunately, it was recently…

Other Computer Science · Computer Science 2014-06-11 Matthias Függer , Robert Najvirt , Thomas Nowak , Ulrich Schmid

We present a prototype multi-input gate extension of the publicly available Involution Tool for accurate digital timing simulation and power analysis of integrated circuits introduced by Oehlinger et al. (Integration, 2021). Relying on…

Other Computer Science · Computer Science 2025-12-02 Arman Ferdowsi , Ulrich Schmid , Josef Salzmann

We introduce the Composable Involution Delay Model (CIDM) for fast and accurate digital simulation. It is based on the Involution Delay Model (IDM) [F\"ugger et al., IEEE TCAD 2020], which has been shown to be the only existing candidate…

Other Computer Science · Computer Science 2021-04-23 Jürgen Maier , Daniel Öhlinger , Ulrich Schmid , Matthias Függer , Thomas Nowak

In order to facilitate the analysis of timing relations between individual transitions in a signal trace, dynamic digital timing analysis offers a less accurate but much faster alternative to analog simulations of digital circuits. This…

Other Computer Science · Computer Science 2023-05-16 Arman Ferdowsi , Ulrich Schmid , Josef Salzmann

Estimating and quantifying uncertainty in unknown system parameters from limited data remains a challenging inverse problem in a variety of real-world applications. While many approaches focus on estimating constant parameters, a subset of…

Methodology · Statistics 2023-05-09 Andrea Arnold

Much recent progress has been achieved for stabilization of linear and nonlinear systems with input delays that are long and dependent on either time or the plant state---provided the dependence is known. In this paper we consider the delay…

Optimization and Control · Mathematics 2012-09-11 Nikolaos Bekiaris-Liberis , Miroslav Krstic

Time delay is ubiquitous in many experimental and real-world situations. It is often unclear whether time delay plays a significant role in observed phenomena, and if it does, how long the time lag really is. This would be invaluable…

Data Analysis, Statistics and Probability · Physics 2025-12-10 Robin A. Kopp , Sabine H. L. Klapp , Deepak Gupta

In this paper, an original result in terms of a sufficient condition to test identifiability of nonlinear delayed-differential models with constant delays and multi-inputs is given. The identifiability is studied for the linearized system…

Dynamical Systems · Mathematics 2010-09-10 Carine Jauberthie , Louise Travé-Massuyès

Time delays due to signal latency, computational complexity, and sensor-denied environments, pose a critical challenge in both engineered and biological control systems. In this work, we investigate biologically inspired strategies to…

Systems and Control · Electrical Eng. & Systems 2019-12-12 Thomas L. Mohren , Thomas L. Daniel , Steven L. Brunton

This paper presents a new analytical propagation delay model for deep submicron CMOS inverters. The model is inspired by the key observation that the inverter delay is a complicated function of several process parameters as well as load…

Other Computer Science · Computer Science 2018-01-03 Walter Schneider

Due to simplicity and strong stability guarantees, predictor feedback methods have stood as a popular approach for time delay systems since the 1950s. For time-varying delays, however, implementation requires computing a prediction horizon…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Luke Bhan , Miroslav Krstic , Yuanyuan Shi

We consider a nonlinear non-autonomous system with time-varying delays $$ \dot{x_i}(t)=-a_i(t)x_{i}(h_i(t))+\sum_{j=1}^mF_{ij}(t,x_j(g_{ij}(t))) $$ which has a large number of applications in the theory of artificial neural networks. Via…

Dynamical Systems · Mathematics 2013-09-10 Leonid Berezansky , Elena Braverman , Lev Idels

We focus on variational inference in dynamical systems where the discrete time transition function (or evolution rule) is modelled by a Gaussian process. The dominant approach so far has been to use a factorised posterior distribution,…

Machine Learning · Statistics 2018-12-17 Alessandro Davide Ialongo , Mark van der Wilk , James Hensman , Carl Edward Rasmussen

As deep learning gains popularity in modelling dynamical systems, we expose an underappreciated misunderstanding relevant to modelling dynamics on networks. Strongly influenced by graph neural networks, latent vertex embeddings are…

Machine Learning · Computer Science 2023-05-23 Bing Liu , Wei Luo , Gang Li , Jing Huang , Bo Yang

We study the inductive biases of diffusion models with a conditioning-variable, which have seen widespread application as both text-conditioned generative image models and observation-conditioned continuous control policies. We observe that…

Machine Learning · Computer Science 2025-12-23 Daniel Pfrommer , Zehao Dou , Christopher Scarvelis , Max Simchowitz , Ali Jadbabaie

We develop a predictor-feedback control design for multi-input nonlinear systems with distinct input delays, of arbitrary length, in each individual input channel. Due to the fact that different input signals reach the plant at different…

Optimization and Control · Mathematics 2015-08-25 Nikolaos Bekiaris-Liberis , Miroslav Krstic

We analyze a classification of two main families of controllers that are of interest when the feedback loop is subject to switching propagation delays due to routing via a wireless multi-hop communication network. We show that we can cast…

Optimization and Control · Mathematics 2012-07-24 Raphael M. Jungers , Alessandro D'Innocenzo , Maria D. Di Benedetto

We study delay-independent stability in nonlinear models with a distributed delay which have a positive equilibrium. Such models frequently occur in population dynamics and other applications. In particular, we construct a relevant…

Dynamical Systems · Mathematics 2009-01-12 Elena Braverman , Sergey Zhukovskiy
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