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Robust Exponential Stability of Interior Degenerate/Singular Parabolic Equations⁎ 内退化/奇异抛物方程的鲁棒指数稳定性
IFAC-PapersOnLine Pub Date : 2026-01-01 Epub Date: 2026-10-09 DOI: 10.1016/j.ifacol.2026.09.010
Shri Lal Raghudev Ram Singh, P. Cannarsa, R. Guglielmi
{"title":"Robust Exponential Stability of Interior Degenerate/Singular Parabolic Equations⁎","authors":"Shri Lal Raghudev Ram Singh,&nbsp;P. Cannarsa,&nbsp;R. Guglielmi","doi":"10.1016/j.ifacol.2026.09.010","DOIUrl":"10.1016/j.ifacol.2026.09.010","url":null,"abstract":"<div><div>In this paper, we establish the exponential stability of interior degenerate parabolic equations under a class of relatively bounded perturbations. Our analysis relies on an abstract robustness result for exponentially stable semigroups, appropriate Hardy-Poincaré inequalities, LaSalle’s invariance principle and a unique continuation property for elliptic operators. The study is divided into two main parts, depending on whether the principal diffusion operator is formulated in divergence or in non-divergence form.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"60 1","pages":"Pages 55-60"},"PeriodicalIF":0.0,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149125423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
GP Warm-starting of Dual Decomposition – Learning How to Speed Up⁎ 对偶分解的GP热启动-学习如何加速
IFAC-PapersOnLine Pub Date : 2026-01-01 Epub Date: 2026-10-09 DOI: 10.1016/j.ifacol.2026.09.011
Rahul Panicker, Timm Faulwasser
{"title":"GP Warm-starting of Dual Decomposition – Learning How to Speed Up⁎","authors":"Rahul Panicker,&nbsp;Timm Faulwasser","doi":"10.1016/j.ifacol.2026.09.011","DOIUrl":"10.1016/j.ifacol.2026.09.011","url":null,"abstract":"<div><div>Dual decomposition is a well-established algorithm to solve strongly convex optimization problems in decentralized fashion. However, as dual decomposition is a first-order method, it often takes a significant number of iterations to converge to acceptable accuracy. We propose a novel dual warm-starting strategy based on learning a predictor of the optimal dual variable of the consensus constraints. We use Gaussian process regression to learn the predictor from pre-computed data. Furthermore, we exploit the posterior variance error bounds of Gaussian Processes and draw upon numerical examples to illustrate the advantages of our approach.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"60 1","pages":"Pages 61-66"},"PeriodicalIF":0.0,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149125424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Learning, Misspecification, and Cognitive Arbitrage in Linear-Quadratic Network Games 线性二次型网络博弈中的学习、错误规范和认知套利
IFAC-PapersOnLine Pub Date : 2026-01-01 Epub Date: 2026-10-09 DOI: 10.1016/j.ifacol.2026.09.017
Quanyan Zhu, Zhengye Han
{"title":"Learning, Misspecification, and Cognitive Arbitrage in Linear-Quadratic Network Games","authors":"Quanyan Zhu,&nbsp;Zhengye Han","doi":"10.1016/j.ifacol.2026.09.017","DOIUrl":"10.1016/j.ifacol.2026.09.017","url":null,"abstract":"<div><div>We study strategic interaction in linear-quadratic network games where agents act on subjective, misspecified models of their environment. Agents observe noisy aggregate signals generated by local network externalities and interpret them through simplified conjectures, such as constant or mean-field representations. We characterize the long-run behavior using the Berk-Nash equilibrium (BNE) concept, establishing conditions under which BNE diverges from the Nash equilibrium of the perfectly specified game. We quantify this divergence using a Value of Misspecification (VoM) metric. Building on this framework, we introduce cognitive arbitrage—a design paradigm where a system designer strategically shapes agents’ conjectures via minimal observation distortions to steer equilibrium outcomes. We formulate the cognitive arbitrage problem as a Stackelberg optimization with closed-form solutions and prove the convergence of a two-time-scale learning algorithm to the optimal BNE. Our results provide a principled framework for influencing behavior in networked systems with bounded rationality, offering a new perspective on mechanism design that operates on agents’ representations rather than their incentives.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"60 1","pages":"Pages 97-102"},"PeriodicalIF":0.0,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149125430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lumpability in Networks via Coprobability-Preserving Vertex Addition⁎ 基于保协顶点加法的网络集总性研究
IFAC-PapersOnLine Pub Date : 2026-01-01 Epub Date: 2026-10-09 DOI: 10.1016/j.ifacol.2026.09.027
Onur Ege Erden, Fatihcan M. Atay
{"title":"Lumpability in Networks via Coprobability-Preserving Vertex Addition⁎","authors":"Onur Ege Erden,&nbsp;Fatihcan M. Atay","doi":"10.1016/j.ifacol.2026.09.027","DOIUrl":"10.1016/j.ifacol.2026.09.027","url":null,"abstract":"<div><div>We consider the problem of lumpability in undirected networks by introducing the concept of coprobable vertices. We present an operation for adding and deleting vertices in networks with coprobable vertices, which induces lumpability in the network while preserving the coprobability of those vertices. This operation can be applied multiple times and allows one to attach an arbitrary graph to certain special vertices, thereby constructing large graphs in which the dynamical system induced by the adjacency matrix can be lumped over certain local subgraphs.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"60 1","pages":"Pages 157-162"},"PeriodicalIF":0.0,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149125457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Entropy-based Optimal Sensor Network Design for Kalman Filtering Using Generalized Benders Decomposition 基于熵的广义弯曲分解卡尔曼滤波传感器网络设计
IFAC-PapersOnLine Pub Date : 2026-01-01 Epub Date: 2026-10-09 DOI: 10.1016/j.ifacol.2026.09.031
Manjay Kumar, M U Abuthahir, Nabil Magbool Jan
{"title":"Entropy-based Optimal Sensor Network Design for Kalman Filtering Using Generalized Benders Decomposition","authors":"Manjay Kumar,&nbsp;M U Abuthahir,&nbsp;Nabil Magbool Jan","doi":"10.1016/j.ifacol.2026.09.031","DOIUrl":"10.1016/j.ifacol.2026.09.031","url":null,"abstract":"<div><div>Sensor placement for state estimation in linear dynamical systems is a combinatorial problem of significant practical importance. In this work, we formulate optimal sensor network design within a Kalman filtering framework using a log-determinant entropy criterion, and show that the resulting problem can be cast as a binary semidefinite program (BSDP). We propose a novel distance-based generalized Benders decomposition algorithm that exploits deepest cuts. The performance of the proposed approach is illustrated on a process flow network.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"60 1","pages":"Pages 181-186"},"PeriodicalIF":0.0,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149125323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Decaying Sensitivity of the Zero Solution for a Class of Nonlinear Optimal Control Problems 一类非线性最优控制问题零解的衰减灵敏度
IFAC-PapersOnLine Pub Date : 2026-01-01 Epub Date: 2026-10-09 DOI: 10.1016/j.ifacol.2026.09.018
Lars Grüne, Mario Sperl
{"title":"Decaying Sensitivity of the Zero Solution for a Class of Nonlinear Optimal Control Problems","authors":"Lars Grüne,&nbsp;Mario Sperl","doi":"10.1016/j.ifacol.2026.09.018","DOIUrl":"10.1016/j.ifacol.2026.09.018","url":null,"abstract":"<div><div>We study spatial decay properties of sensitivities in a nonlinear optimal control problem with a graph-structured interaction topology. For a problem with nonlinear decoupled dynamics and quadratic cost, we show that a perturbation of the zero initial condition at a single node induces an optimal trajectory whose node-wise norms decay exponentially with the graph distance from the perturbed node. The analysis, based on a nonlinear null-controllability condition, provides a first step toward extending known spatial decay results from linear–quadratic to nonlinear systems. A numerical example illustrates the theoretical findings.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"60 1","pages":"Pages 103-108"},"PeriodicalIF":0.0,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149125431","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Performance Space-Based ADC Development 基于空间的高性能ADC开发
IFAC-PapersOnLine Pub Date : 2025-01-01 Epub Date: 2025-03-27 DOI: 10.1016/j.ifacol.2025.03.071
Benedikt Ohse , Jürgen Kampe , Christopher Schneider
{"title":"Performance Space-Based ADC Development","authors":"Benedikt Ohse ,&nbsp;Jürgen Kampe ,&nbsp;Christopher Schneider","doi":"10.1016/j.ifacol.2025.03.071","DOIUrl":"10.1016/j.ifacol.2025.03.071","url":null,"abstract":"<div><div>Performance spaces represent the full range of attainable performances of an integrated analog circuit, including gain and bandwidth. Based on the knowledge of the optimal and least favorable values, simplified simulation models can be employed to optimize the system design process. We present a modified variant of the well-established Normal-Boundary Intersection method, which is used to approximate five-dimensional performance spaces in reasonable time. Based on these approximations, we develop a concept for implementing a system-level simulation that is used to design an operational transconductance amplifier for an analog-to-digital converter to improve its sampling rate. To demonstrate the usability of our concept, we perform several numerical experiments and visualize the data in parallel coordinates plots for better user comprehension.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 1","pages":"Pages 415-420"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143704056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sensitivity Analysis of a Mathematical Model Representing the Female Endocrine Cycle 女性内分泌周期数学模型的敏感性分析
IFAC-PapersOnLine Pub Date : 2025-01-01 Epub Date: 2025-03-27 DOI: 10.1016/j.ifacol.2025.03.044
Clara Horvath , Marie-Sophie Kohlmayer , Andreas Körner
{"title":"Sensitivity Analysis of a Mathematical Model Representing the Female Endocrine Cycle","authors":"Clara Horvath ,&nbsp;Marie-Sophie Kohlmayer ,&nbsp;Andreas Körner","doi":"10.1016/j.ifacol.2025.03.044","DOIUrl":"10.1016/j.ifacol.2025.03.044","url":null,"abstract":"<div><div>This paper presents an extensive global sensitivity analysis of a mathematical model describing the female endocrine cycle. The model, based on a system of differential equations, captures the dynamics of Luteinizing Hormone, Follicle-Stimulating Hormone, Estrogen, and Progesterone, along with their regulatory feedback mechanisms. We employed three complementary methods – Latin Hypercube Sampling, Partial Rank Correlation Coefficient, and extended Fourier Amplitude Sensitivity Test – to analyze both linear and non-linear parameter-output relationships. The extended Fourier Amplitude Sensitivity Test method, in particular, revealed non-monotonic and non-linear interactions between input and output, highlighting the complexity of the hypothalamus-pituitary-ovary axis. Our findings offer significant insights for future model refinement and pave mathematical ways towards better understanding of the female endocrine cycle and potential clinical applications, especially in the diagnosis and treatment of reproductive disorders.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 1","pages":"Pages 253-258"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143704327","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Limit Cycle Analysis of Guideline-based treated Graves’ Disease Patients 基于指南治疗的Graves病患者的极限环分析
IFAC-PapersOnLine Pub Date : 2025-01-01 Epub Date: 2025-03-27 DOI: 10.1016/j.ifacol.2025.03.043
Thomas Benninger , Martin Horn , Markus Reichhartinger
{"title":"Limit Cycle Analysis of Guideline-based treated Graves’ Disease Patients","authors":"Thomas Benninger ,&nbsp;Martin Horn ,&nbsp;Markus Reichhartinger","doi":"10.1016/j.ifacol.2025.03.043","DOIUrl":"10.1016/j.ifacol.2025.03.043","url":null,"abstract":"<div><div>A brief review of existing medical dosage guidelines for Graves’ disease is conducted. This motivates to derive a recommendation strategy and a performance assessment via limit cycle stability analysis. For this purpose, an existing mathematical treatment model is simplified by incorporating medical aspects. From an application point of view, this is related to suboptimal treatments which can be approximated by a proportional controller in combination with a time-discretization of the closed-loop model for incorporating the effect of regular appointments with a physician. The presented results highlight critical aspects to be considered during treatment.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 1","pages":"Pages 247-252"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143704326","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlinear Coupled PDE-ODE Model of a Distributed Ćuk Converter 分布式Ćuk转换器的非线性耦合PDE-ODE模型
IFAC-PapersOnLine Pub Date : 2025-01-01 Epub Date: 2025-03-27 DOI: 10.1016/j.ifacol.2025.03.017
Klaus Röbenack , Daniel Gerbet
{"title":"Nonlinear Coupled PDE-ODE Model of a Distributed Ćuk Converter","authors":"Klaus Röbenack ,&nbsp;Daniel Gerbet","doi":"10.1016/j.ifacol.2025.03.017","DOIUrl":"10.1016/j.ifacol.2025.03.017","url":null,"abstract":"<div><div>The Ćuk converter is a particularly interesting converter, as it can be used to generate voltages which could be above or below the supply voltage. The chokes take up the most space when setting up such a converter. In this article, the chokes are replaced by transmission lines. This approach leads to a new converter topology and other mathematical models. The new distributed converter model can later on be discretized for a physical implementation to replace the two large inductances with numerous smaller inductances as suggested by Sander (2012).</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 1","pages":"Pages 91-96"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143704415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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