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When facing time-variant problems in analog computing, the desirable RNN design requires finite-time convergence and robustness with respect to various types of uncertainties, due to the time-variant nature and difficulties in…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Mingxuan Sun , Xing Li , Han Wang

Several concepts on the measure of observability, reachability, and robustness are defined and illustrated for both linear and nonlinear control systems. Defined by using computational dynamic optimization, these concepts are applicable to…

Optimization and Control · Mathematics 2009-07-17 Wei Kang , Liang Xu

Ensuring safety through set invariance has proven to be a valuable method in various robotics and control applications. This paper introduces a comprehensive framework for the safe probabilistic invariance verification of both discrete- and…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Taoran Wu , Yiqing Yu , Bican Xia , Ji Wang , Bai Xue

We describe a new temporal verification framework for safety and robustness analysis of nonlinear control laws, our target application being a space launcher vehicle. Robustness analysis, formulated as a nonconvex nonlinear optimization…

Optimization and Control · Mathematics 2012-05-11 Didier Henrion , Martine Ganet-Schoeller , Samir Bennani

The experimental evaluation of the methods and concepts covered in software engineering has been increasingly valued. This value indicates the constant search for new forms of assessment and validation of the results obtained in Software…

Software Engineering · Computer Science 2020-06-30 T. F. M. Sirqueira , M. A. Miguel , H. L. O. Dalpra , M. A. P. Araujo , J. M. N. David

Neural networks have become increasingly popular in controller design due to their versatility and efficiency. However, their integration into feedback systems can pose stability challenges, particularly in the presence of uncertainties.…

Optimization and Control · Mathematics 2025-03-04 Yuhao Zhang , Xiangru Xu

We propose a new approach for modelling the functional behaviour of an Earth observation satellite. We leverage this approach in order to develop a safety critical software, a "telecommand verifier", that is in charge of checking onboard…

Software Engineering · Computer Science 2020-02-11 Vincent Mussot , Silvano Dal Zilio , Loic Correnson , Serge Rainjonneau , Yves Bardout , Grégoire Scano

Software measurement is an essential management tool to develop robust and maintainable software systems. Software metrics can be used to control the inherent complexities in software design. To guarantee that the components of the software…

Software Engineering · Computer Science 2022-01-26 Mamdouh Alenezi

Effective software safety standards will contribute to confidence, or assurance, in the safety of the systems in which the software is used. It is infeasible to demonstrate a correlation between standards and accidents, but there is an…

Software Engineering · Computer Science 2014-04-29 John A. McDermid

We provide a stability and performance analysis for nonlinear model predictive control (NMPC) schemes subject to input constraints. Given an exponential stabilizability and detectability condition w.r.t. the employed state cost, we provide…

Optimization and Control · Mathematics 2023-01-09 Johannes Köhler , Melanie N. Zeilinger , Lars Grüne

In recent years, Neural Networks (NNs) have been employed to control nonlinear systems due to their potential capability in dealing with situations that might be difficult for conventional nonlinear control schemes. However, to the best of…

Optimization and Control · Mathematics 2025-02-04 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

Simulation of quantum systems that provide intrinsically fault-tolerant quantum computation is shown to preserve fault tolerance. Errors committed in the course of simulation are eliminated by the natural error-correcting features of the…

Quantum Physics · Physics 2007-05-23 Seth Lloyd , Benjamin Rahn , Charlene Ahn

Static program analysis by abstract interpretation is an efficient method to determine properties of embedded software. One example is value analysis, which determines the values stored in the processor registers. Its results are used as…

Logic in Computer Science · Computer Science 2011-11-09 Reinhold Heckmann , Christian Ferdinand

We present a method for determining optimal modes of operation for autonomously oscillating systems with uncertain parameters. In a typical application of the method, a nonlinear dynamical system is optimized with respect to an economic…

Dynamical Systems · Mathematics 2013-08-20 Darya Kastsian , Martin Mönnigmann

Quantitatively evaluating and comparing the performance of robotic solutions that are designed to work under a variety of conditions is inherently challenging because they need to be evaluated under numerous precisely repeatable conditions…

Robotics · Computer Science 2019-03-26 Achim Gerstenberg , Martin Steinert

Roundoff errors cannot be avoided when implementing numerical programs with finite precision. The ability to reason about rounding is especially important if one wants to explore a range of potential representations, for instance for FPGAs…

Numerical Analysis · Computer Science 2016-11-28 Victor Magron , George Constantinides , Alastair Donaldson

Neural networks are increasingly applied to support decision making in safety-critical applications (like autonomous cars, unmanned aerial vehicles and face recognition based authentication). While many impressive static verification…

Machine Learning · Computer Science 2021-05-07 Guoliang Dong , Jun Sun , Jingyi Wang , Xinyu Wang , Ting Dai

Runtime verification encompasses several lightweight techniques for checking whether a system's current execution satisfies a given specification. We focus on runtime verification for Linear Temporal Logic (LTL). Previous work describes…

Logic in Computer Science · Computer Science 2025-08-12 Javier Esparza , Vincent Fischer

The robust disturbance rejection controller has been the subject of intensive research due to its undeniable importance for automation. Modern control theory tends to use model-based approaches versus model-free approaches, especially when…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Atta Oveisi

Suboptimal methods in optimal control arise due to a limited computational budget, unknown system dynamics, or a short prediction window among other reasons. Although these methods are ubiquitous, their transient performance remains…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Aren Karapetyan , Efe C. Balta , Andrea Iannelli , John Lygeros