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This paper studies the trajectory tracking and motion control problems for autonomous vehicles (AVs). A parameter adaptive control framework for AVs is proposed to enhance tracking accuracy and yaw stability. While establishing linear…

Systems and Control · Electrical Eng. & Systems 2024-11-28 Jiarui Song , Yingbo Sun , Qing Dong , Xuewu Ji

This paper investigates a well-posedness property of parametric constraint systems named here Robinson stability. Based on advanced tools of variational analysis and generalized differentiation, we derive first-order and second-order…

Optimization and Control · Mathematics 2016-12-02 Helmut Gfrerer , Boris Mordukhovich

We present an approach to identify a quasi Linear Parameter Varying (qLPV) model of a plant, with the qLPV model guaranteed to admit a robust control invariant (RCI) set. It builds upon the concurrent synthesis framework presented in [1],…

Optimization and Control · Mathematics 2025-05-13 Sampath Kumar Mulagaleti , Alberto Bemporad

This paper is concerned with stability analysis of nonlinear time-varying systems by using Lyapunov function based approach. The classical Lyapunov stability theorems are generalized in the sense that the time-derivative of the Lyapunov…

Dynamical Systems · Mathematics 2017-08-18 Bin Zhou

This brief gives a set of unified Lyapunov stability conditions to guarantee the predefined-time/finite-time stability of a dynamical systems. The derived Lyapunov theorem for autonomous systems establishes equivalence with existing…

Systems and Control · Electrical Eng. & Systems 2024-04-02 Bing Xiao , Haichao Zhang , Shijie Zhao , Lu Cao

This article proposes an approach to construct a Lyapunov function for a linear coupled impulsive system consisting of two time-invariant subsystems. In contrast to various variants of small-gain stability conditions for coupled systems,…

Dynamical Systems · Mathematics 2023-08-11 Vitalii Slynko , Sergey Dashkovskiy , Ivan Atamas

In this paper we provide sharp criteria for linear stability or instability of equilibria of collisionless plasmas in the presence of boundaries. Specifically, we consider the relativistic Vlasov-Maxwell system with specular reflection at…

Analysis of PDEs · Mathematics 2011-12-21 Toan Nguyen , Walter A. Strauss

Aiming for accurate estimation of system reliability of load-sharing systems, a flexible model for such systems is constructed by approximating the cumulative hazard functions of component lifetimes using piecewise linear functions. The…

Methodology · Statistics 2023-01-05 Shilpi Biswas , Ayon Ganguly , Debanjan Mitra

In this paper, we seek to understand the behavior of dynamical systems that are perturbed by a parameter that changes discretely in time. If we impose certain conditions, we can study certain embedded systems within a hybrid system as…

Dynamical Systems · Mathematics 2014-08-04 Xavier Garcia , Jennifer Kunze , Thomas Rudelius , Anthony Sanchez , Sijing Shao , Emily Speranza , Chad Vidden

New sufficient conditions for the characterization of dwell-times for linear impulsive systems are proposed and shown to coincide with continuous decrease conditions of a certain class of looped-functionals, a recently introduced type of…

Optimization and Control · Mathematics 2012-06-05 Corentin Briat , Alexandre Seuret

The aim of this paper is to investigate the response of this system/scheme in terms of stability in presence of explicitly treated residual terms, as it inevitably occurs in the reality of NWP. This sudy is restricted to the impact of…

Atmospheric and Oceanic Physics · Physics 2009-11-10 Pierre Benard , Rene Laprise , Jozef Vivoda , Petra Smolikova

Poly-PL kinetic systems are kinetic systems consisting of nonnegative linear combinations of power law functions. In this contribution, we analyze these kinetic systems using two main approaches: (1) we define a canonical power law…

Dynamical Systems · Mathematics 2021-07-13 Noel T. Fortun , Dylan Antonio SJ. Talabis , Editha C. Jose , Eduardo R. Mendoza

Stability margins for linear time-varying (LTV) and switched-linear systems are traditionally computed via quadratic Lyapunov functions, and these functions certify the stability of the system under study. In this work, we show how the more…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Corbin Klett , Matthew Abate , Samuel Coogan , Eric Feron

This paper provides sufficient conditions for stability of switched linear systems under dwell-time switching. Piece-wise quadratic functions are utilized to characterize the Lyapunov functions and bilinear matrix inequalities conditions…

Dynamical Systems · Mathematics 2014-12-01 Masood Dehghan , Marcelo H. Ang

In this paper we address the problem of state observation of linear time-varying systems with delayed measurements, which has attracted the attention of many researchers|see [7] and references therein. We show that, adopting the parameter…

Systems and Control · Electrical Eng. & Systems 2020-08-21 Alexey Bobtsov , Nikolay Nikolaev , Romeo Ortega , Denis Efimov

Recent works have demonstrated how Linear Parameter Varying Model Predictive Control (LPV MPC) algorithms are able to control nonlinear systems with precision and reduced computational load. Specifically, these schemes achieve comparable…

Systems and Control · Electrical Eng. & Systems 2023-05-01 Marcelo Menezes Morato , Amir Naspolini , Julio Elias Normey-Rico

The stability of interconnected linear time-invariant systems using singular values and the small gain theorem has been studied for many decades. The methods of mu-analysis and synthesis has been extensively developed to provide robustness…

Systems and Control · Electrical Eng. & Systems 2024-12-19 Luke Woolcock , Robert Schmid

Copositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear supply-rates are employed here for…

Systems and Control · Computer Science 2012-06-05 Corentin Briat

Variational system identification is a new formulation of maximum likelihood for estimation of parameters of dynamical systems subject to process and measurement noise, such as aircraft flying in turbulence. This formulation is an…

Applications · Statistics 2025-10-31 Dimas Abreu Archanjo Dutra

We consider the stability and the input-output analysis problems of a class of large-scale hybrid systems composed of continuous dynamics coupled with discrete dynamics defined over finite alphabets, e.g., deterministic finite state…

Optimization and Control · Mathematics 2018-03-05 Murat Cubuktepe , Mohamadreza Ahmadi , Ufuk Topcu , Brandon Hencey