Nonlinear Analysis-Hybrid Systems最新文献

Passivity preservation in interconnections of linear cone complementarity systems with state jumps 具有状态跳变的线性锥互补系统互连的无源保持

IF 3.7 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2026-01-24 DOI: 10.1016/j.nahs.2026.101682

Bernard Brogliato , Aneel Tanwani

引用次数: 0

Linear dynamical systems with weight functions 具有权函数的线性动力系统

IF 3.7 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2026-01-25 DOI: 10.1016/j.nahs.2026.101680

Rajab Aghamov , Christel Baier , Toghrul Karimov , Joël Ouaknine , Jakob Piribauer

{"title":"Linear dynamical systems with weight functions","authors":"Rajab Aghamov , Christel Baier , Toghrul Karimov , Joël Ouaknine , Jakob Piribauer","doi":"10.1016/j.nahs.2026.101680","DOIUrl":"10.1016/j.nahs.2026.101680","url":null,"abstract":"<div><div>In discrete-time linear dynamical systems (LDSs), a linear map is repeatedly applied to an initial vector yielding a sequence of vectors called the orbit of the system. A weight function assigning weights to the points in the orbit can be used to model quantitative aspects, such as resource consumption, of a system modelled by an LDS. This paper addresses the problems of how to compute the mean payoff, the total accumulated weight, and the discounted accumulated weight of the orbit under continuous weight functions as well as polynomial weight functions as a special case. Additionally, weight functions that are definable in an o-minimal extension of the theory of the reals with exponentiation, which can be shown to be piecewise continuous, are considered. In particular, good ergodic properties of o-minimal weight functions, instrumental to the computation of the mean payoff, are established. Besides general LDSs, the special cases of stochastic LDSs and LDSs with bounded orbits are addressed. Finally, the problem of deciding whether an energy constraint is satisfied by the weighted orbit, i.e., whether the accumulated weight never drops below a given bound, is analysed.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101680"},"PeriodicalIF":3.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077629","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A new framework for bounding reachability probabilities of continuous-time stochastic systems 连续时间随机系统边界可达概率的新框架

IF 3.7 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2025-12-14 DOI: 10.1016/j.nahs.2025.101670

Bai Xue

引用次数: 0

A conditional mean-field type stochastic differential game of hybrid switching diffusions systems with delay and its applications 具有时滞的混合开关扩散系统的条件平均场型随机微分对策及其应用

IF 3.7 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2025-12-29 DOI: 10.1016/j.nahs.2025.101673

Zhongbin Guo , Qingshuo Song , Guangchen Wang

{"title":"A conditional mean-field type stochastic differential game of hybrid switching diffusions systems with delay and its applications","authors":"Zhongbin Guo , Qingshuo Song , Guangchen Wang","doi":"10.1016/j.nahs.2025.101673","DOIUrl":"10.1016/j.nahs.2025.101673","url":null,"abstract":"<div><div>This paper focuses on a conditional mean-field type game of hybrid switching diffusions systems with delay where both the state dynamics and costs are dependent on the conditional expectations of state given switching process. Firstly, we prove that a nonlinear conditional mean-field anticipated backward stochastic differential equation with regime switching admits a unique solution under mild conditions, which is necessary to guarantee the well-posedness of adjoint equations that arise in the optimality condition for Nash equilibrium point. Then, using established results on conditional mean-field anticipated backward stochastic differential equation, we develop a Pontryagin type maximum principle that provides necessary condition for open-loop Nash equilibrium points. Additionally, we establish two verification theorems under different assumptions, which provide sufficient conditions for Nash equilibrium points. Finally, we present three financial applications. Employing the theoretical results derived, we obtain explicit solutions of all the financial applications and provide some numerical examples with sound economic interpretations for demonstration.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101673"},"PeriodicalIF":3.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Preconditioned primal-dual dynamics in convex optimization: Non-ergodic convergence rates 凸优化中的预条件原对偶动力学：非遍历收敛率

IF 3.7 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2025-12-23 DOI: 10.1016/j.nahs.2025.101674

Vassilis Apidopoulos , Cesare Molinari , Juan Peypouquet , Silvia Villa

{"title":"Preconditioned primal-dual dynamics in convex optimization: Non-ergodic convergence rates","authors":"Vassilis Apidopoulos , Cesare Molinari , Juan Peypouquet , Silvia Villa","doi":"10.1016/j.nahs.2025.101674","DOIUrl":"10.1016/j.nahs.2025.101674","url":null,"abstract":"<div><div>We introduce and analyze a continuous primal–dual dynamical system in the context of the minimization problem <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>+</mo><mi>g</mi><mrow><mo>(</mo><mi>A</mi><mi>x</mi><mo>)</mo></mrow></mrow></math></span>, where <span><math><mi>f</mi></math></span> and <span><math><mi>g</mi></math></span> are convex functions and <span><math><mi>A</mi></math></span> is a linear operator. In this setting, the trajectories of the Arrow–Hurwicz continuous flow may not converge, accumulating at points that are not solutions. Our proposal is inspired by the primal–dual algorithm by Chambolle and Pock (2011), where convergence and splitting on the primal–dual variables are ensured by adequately preconditioning the proximal-point algorithm. We consider a family of preconditioners, which are allowed to depend on time and on the operator <span><math><mi>A</mi></math></span>, but not on the functions <span><math><mi>f</mi></math></span> and <span><math><mi>g</mi></math></span>, and analyze asymptotic properties of the corresponding preconditioned flow. Fast convergence rates for the primal–dual gap and optimality of its (weak) limit points are obtained, in the general case, for asymptotically antisymmetric preconditioners, and, in the case of linearly constrained optimization problems, under milder hypotheses. Numerical examples support our theoretical findings, especially in favor of the antisymmetric preconditioners.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101674"},"PeriodicalIF":3.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145840371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Minimum time problem for the double integrator with a loss-of-control region 具有失去控制区域的双积分器的最小时间问题

IF 3.7 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2026-01-30 DOI: 10.1016/j.nahs.2026.101681

Térence Bayen , Anas Bouali , Loïc Bourdin

{"title":"Minimum time problem for the double integrator with a loss-of-control region","authors":"Térence Bayen , Anas Bouali , Loïc Bourdin","doi":"10.1016/j.nahs.2026.101681","DOIUrl":"10.1016/j.nahs.2026.101681","url":null,"abstract":"<div><div>In this paper we address the minimum time problem for the double integrator, but here, in contrast with the classical version of this problem, the control is constrained to remain constant as long as the state belongs to a given region of the state space called <em>loss-of-control region</em>. This situation prevents switches from occurring in the loss-of-control region and, therefore, a new analysis has to be performed. For this purpose we prove an appropriate version of the Pontryagin maximum principle in which the necessary conditions comprise two key components. The first is an averaged Hamiltonian gradient condition to determine the optimal constant values of the control in the loss-of-control region. The second is, similarly to hybrid maximum principles found in the literature, that the costate admits discontinuity jumps at the interface between the loss-of-control region and its complement. We then highlight the theoretical use of these necessary conditions by solving analytically the minimum time problem for the double integrator with an illustrative loss-of-control region (precisely, the left vertical half-space). New behaviors are observed such as the lack of dynamic programming principle, of feedback expression and of saturation of the control constraint set. Finally we further illustrate these aspects by solving numerically the same minimum time problem for the double integrator but with two other illustrative loss-of-control regions (first a sloped half-space, then a disk).</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101681"},"PeriodicalIF":3.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Perfect stationary solutions of reaction–diffusion equations on lattices and regular graphs 格和正则图上反应扩散方程的完全平稳解

IF 3.7 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2026-01-27 DOI: 10.1016/j.nahs.2026.101684

Vladimír Švígler, Jonáš Volek

{"title":"Perfect stationary solutions of reaction–diffusion equations on lattices and regular graphs","authors":"Vladimír Švígler, Jonáš Volek","doi":"10.1016/j.nahs.2026.101684","DOIUrl":"10.1016/j.nahs.2026.101684","url":null,"abstract":"<div><div>In this work, we introduce a notion of perfect stationary solutions of reaction–diffusion differential equations on lattices and regular graphs and show its elementary properties. The perfect stationary solutions – a special class of finite-range solutions in which the neighborhood values are determined by the value of the central vertex – generalize periodic stationary solutions. The focus on the solution which attain a finite number of values enables us to reduce the stationary problem from a countable algebraic system of equations to a finite one. However, the possible absence of periodicity in the solutions allows for richer structure of the solutions and their abundance compared to the periodic stationary solutions. We further present results from the theory of perfect colorings in order to prove the existence of the solutions on the square, triangular, and hexagonal grid. As a byproduct, the existence of uncountable number of two-valued stationary solutions on these grids is shown. These two-valued solutions alone can form highly aperiodic and highly irregular patterns. Finally, an application to a bistable reaction–diffusion equation on the square grid is presented.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101684"},"PeriodicalIF":3.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077705","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Controller redesign to minimize uniform quantization errors in uncertain linear systems with fixed hardware constraints 在具有固定硬件约束的不确定线性系统中，重新设计控制器以最小化均匀量化误差

IF 3.7 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2026-01-27 DOI: 10.1016/j.nahs.2026.101683

Mircea Şuşcă , Vlad Mihaly , Zsófia Lendek , Irinel-Constantin Morărescu , Petru Dobra

{"title":"Controller redesign to minimize uniform quantization errors in uncertain linear systems with fixed hardware constraints","authors":"Mircea Şuşcă , Vlad Mihaly , Zsófia Lendek , Irinel-Constantin Morărescu , Petru Dobra","doi":"10.1016/j.nahs.2026.101683","DOIUrl":"10.1016/j.nahs.2026.101683","url":null,"abstract":"<div><div>We consider the classical emulation paradigm in which a controller is already designed for a linear time-invariant plant. Motivated by implementation constraints in real applications, we analyze the effects of ubiquitous low-cost quantizers on the closed-loop dynamics. Consequently, we address the robust control problem of an uncertain discrete-time linear process using a regulator affected by the effects of uniform quantization performed by the input–output converters and arithmetical unit. In this setup with fixed hardware resolutions, the regulator’s state-space realization is balanced to minimize the process’ state quantization error while simultaneously maintaining its desired transient response. To characterize the quantization error, we provide an ultimate bound for its worst-case scenario using the input-to-state stability framework. The minimization is performed using off-the-shelf tools, with a characterization of the resulting problem. Finally, a comparative numeric case study showing the tightness of the computed bound is discussed.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101683"},"PeriodicalIF":3.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Passivity-based trajectory tracking control in frictional oscillators with set-valued friction 集值摩擦振荡器的无源轨迹跟踪控制

IF 3.7 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2025-12-08 DOI: 10.1016/j.nahs.2025.101672

Aya Younes, Félix Miranda-Villatoro, Bernard Brogliato

引用次数: 0

Weak convergence and diffusion approximation of singularly perturbed stochastic differential equation with state-dependent switching 状态相关切换奇摄动随机微分方程的弱收敛和扩散逼近

IF 3.7 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2025-12-07 DOI: 10.1016/j.nahs.2025.101671

Wenjie Cao , Fuke Wu

引用次数: 0