Iasson Karafyllis, Costas Kravaris
In this work sufficient conditions expressed by means of single and vector Lyapunov functions of Uniform Input-to-Output Stability (UIOS) and Uniform Input-to-State Stability (UISS) are given for finite-dimensional systems under feedback control with zero order hold.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
继续探索
We analyze the robustness of the exponential stability of infinite-dimensional sampled-data systems with unbounded control operators. The unbounded perturbations we consider are the so-called Desch-Schappacher perturbations, which arise, e.g., from the boundary perturbations of systems described by partial differential equations. As the main result, we show that the exponential stability of the sampled-data system is preserved under all Desch-Schappacher perturbations sufficiently small in a certain sense.
We consider the problem of global stability of nonlinear sampled-data systems. Sampled-data systems are a form of hybrid model which arises when discrete measurements and updates are used to control continuous-time plants. In this paper, we use a recently introduced Lyapunov approach to derive stability conditions for both the case of fixed sampling period (synchronous) and the case of a time-varying sampling period (asynchronous). This approach requires the existence of a Lyapunov function which decreases over each sampling interval. To enforce this constraint, we use a form of slack variable…
This paper proposes a general framework for constructing feedback controllers that drive complex dynamical systems to "efficient" steady-state (or slowly varying) operating points. Efficiency is encoded using generalized equations which can model a broad spectrum of useful objectives, such as optimality or equilibria (e.g. Nash, Wardrop, etc.) in noncooperative games. The core idea of the proposed approach is to directly implement iterative solution (or equilibrium seeking) algorithms in closed loop with physical systems. Sufficient conditions for closed-loop stability and robustness are deriv…
This work proposes a notion of robust reachability of one set from another set under constant control. This notion is used to construct a control strategy, involving sequential set-to-set reachability, which guarantees robust global stabilization of nonlinear sampled data systems with positive sampling rate. Sufficient conditions for robust reachability of one set from another under constant control are also provided. Finally, the proposed method is illustrated through two examples.
This paper addresses the stability analysis of infinite-dimensional sampled-data systems under unbounded perturbations. We present two classes of unbounded perturbations preserving the exponential stability of sampled-data systems. To this end, we investigate the continuity of strongly continuous semigroups with respect to their generators, considering the uniform operator topology.
Sampled-data and event-triggered control of globally Lipschitz infinite-dimensional systems
本文证明紧致反馈指数镇定的线性无限维系统可通过足够小扇区界和采样时间的采样数据反馈镇定，并提出减少切换事件的事件触发控制方案，以Sturm-Liouville系统为例验证。
Stability of Observer Based Predictive Control for Nonlinear Sampled-data Systems
提出一种完全基于状态观测器的模型预测控制方法，证明闭环系统的半全局实际渐近稳定性，并通过数值示例验证。
For general nonlinear autonomous systems, a Lyapunov characterization for the possibility of semi-global asymptotic stabilizability by means of a time-varying sampled-data feedback is established. We exploit this result in order to derive a Lie algebraic sufficient condition for sampled-data feedback semi-global stabilizability of affine in the control nonlinear systems with non-zero drift terms. The corresponding proposition constitutes an extension of the "Artstein-Sontag" theorem on feedback stabilization.
Suppose that a continuous-time linear infinite-dimensional system with a static state-feedback controller is strongly stable. We address the following question: If we convert the continuous-time controller to a sampled-data controller by applying an idealized sampler and a zero-order hold, will the resulting sampled-data system be strongly stable for all sufficiently small sampling periods? In this paper, we restrict our attention to the situation where the generator of the open-loop system is a Riesz-spectral operator and its point spectrum has a limit point at the origin. We present conditio…
For nonlinear affine in the control systems, a Lie algebraic sufficient condition for sampled-data feedback semi-global stabilization is established. We use this result, in order to derive sufficient conditions for sampled-data feedback stabilization for a couple of three-dimensional systems.
Sampling arises simultaneously with input and output delays in networked control systems. When the delay is left uncompensated, the sampling period is generally required to be sufficiently small, the delay sufficiently short, and, for nonlinear systems, only semiglobal practical stability is generally achieved. For example, global stabilization of strict-feedforward systems under sampled measurements, sampled-data stabilization of the nonholonomic unicycle with arbitrarily sparse sampling, and sampled-data stabilization of LTI systems over networks with long delays, are open problems. In this …
Convex conditions for robust stability analysis and stabilization of linear aperiodic impulsive and sampled-data systems under dwell-time constraints
利用混合框架和连续时变不连续Lyapunov函数，提出线性脉冲系统稳定性分析与镇定的充要条件，并扩展到最小、最大和区间驻留时间下的非周期系统，进而无保守地推广到线性不确定脉冲系统的二次稳定性分析及镇定，最后应用于采样数据系统的鲁棒稳定性分析与镇定。
In this work, a sampled-data nonlinear observer is designed using a continuous-time design coupled with an inter-sample output predictor. The proposed sampled-data observer is a hybrid system. It is shown that under certain conditions, the robustness properties of the continuous-time design are inherited by the sampled-data design, as long as the sampling period is not too large. The approach is applied to linear systems and to triangular globally Lipschitz systems.
Stability analysis and stabilization of stochastic linear impulsive, switched and sampled-data systems under dwell-time constraints
本文研究了在驻留时间约束下随机线性冲击、切换和采样数据系统的稳定性分析与镇定问题，提出基于均方稳定性与驻留时间的概念，推导出适用于鲁棒分析与控制设计的凸时钟依赖线性矩阵不等式条件，并应用于随机采样数据系统的分析与控制。
Sufficient conditions are established for sampled-data feedback global asymptotic stabilization for nonlinear autonomous systems. One of our main results is an extension of the well known Artstein-Sontag theorem on feedback stabilization concerning affine in the control systems. A second aim of the present work is to provide sufficient conditions for sampled-data feedback asymptotic stabilization for two interconnected nonlinear systems. Lie algebraic sufficient conditions are derived for the case of affine in the control interconnected systems without drift terms.
We study a sampled-data implementation of linear controllers that depend on the output and its derivatives. First, we consider an LTI system of relative degree $r\ge 2$ that can be stabilized using $r-1$ output derivatives. Then, we consider PID control of a second order system. In both cases, the Euler approximation is used for the derivatives giving rise to a delayed sampled-data controller. Given a derivative-dependent controller that stabilizes the system, we show how to choose the parameters of the delayed sampled-data controller that preserves the stability under fast enough sampling. Th…
Stability analysis and stabilization of LPV systems with jumps and (piecewise) differentiable parameters using continuous and sampled-data controllers
本文针对具有跳跃和分段可微参数的混合LPV系统，提出基于时钟和参数依赖Lyapunov函数的方法，推导出在常数和最小驻留时间下的稳定性条件，并通过时依赖和时/参数无关状态反馈控制器实现镇定。
Event-triggered and self-triggered control have been proposed in recent years as promising control strategies to reduce communication resources in Networked Control Systems (NCSs). Based on the notion of set-invariance theory, this note presents new self-triggered control strategies for linear discrete-time systems subject to input and state constraints. The proposed schemes not only achieve communication reduction for NCSs, but also ensure both asymptotic stability of the origin and constraint satisfactions. A numerical simulation example validates the effectiveness of the proposed approaches…
Sampled-data Systems: Stability, Contractivity and Single-iteration Suboptimal MPC
本文分析连续时间与离散时间系统通过采样和零阶保持耦合的稳定性，引入约化模型概念，证明当约化模型收缩时存在阈值采样周期保证指数稳定性，并利用小增益定理在双方收缩条件下证明互联系统的指数稳定性，为单次迭代次优MPC提供理论支持。
Global Exponential Sampled-Data Observers for Nonlinear Systems with Delayed Measurements
针对具有采样和延迟测量的非线性系统，采用小增益方法给出同时涉及延迟和采样周期的充分条件，确保观测器误差指数收敛，并设计鲁棒全局指数状态预测器。
Robustness of Polynomial Stability with Respect to Sampling
本文研究无穷维线性系统多项式稳定性关于采样的鲁棒性，针对 Riesz 谱算子生成元，给出了快采样下保持强稳定性的条件，并估计了采样数据系统状态的衰减率。
In this paper, we study the simultaneous stability problem of a finite number of locally inter-connected linear subsystems under practical constraints, including asynchronous and aperiodic sampling, time-varying delays, and measurement errors. We establish a new Lyapunov-based stability result for such a decentralized system. This system has a particular simple structure of interconnections, but it captures some key characteristics of a large class of intermediate models derived from the consensus analysis of multi-agent systems. The stability result is applicable to the estimation of the maxi…
High-Probability Sampled-Data Stabilization of General Nonlinear Stochastic Systems
本文针对一般非线性随机系统，在局部Lipschitz系数下，通过足够快的采样实现高概率指数镇定，并针对不同增长阶数分别提出方法。
Sampled-Data Primal-Dual Gradient Dynamics in Model Predictive Control
本文针对模型预测控制中采样数据实现导致的稳定性问题，提出改进的离散时间原始-对偶梯度动力学控制器，在保证稳定性的同时提升控制性能，并实现微秒级快速计算。
Observer-Based Sampled-Data Stabilisation of Switched Systems with Lipschitz Nonlinearities and Dwell-Time
研究了具有不确定Lipschitz非线性的线性仿射切换系统在驻留时间约束下的稳定化问题，采用基于状态观测器的采样数据切换律，利用Lyapunov-Metzler不等式设计切换律，推导了闭环系统全局渐近稳定性的时变LMI条件，并讨论了LMI的可行性。
We present a new approach for deriving sampled-data observers from continuous-time observers that feature an Input-to-Output Stability property with respect to the output measurement noise and exponential convergence in the noiseless case. The design approach applies to a wide class of systems and yields sampled-data observers that inherit all performance characteristics of the underlying continuous-time observers. The main component of the proposed sampled-data observer is a novel output predictor that encompasses both inter-sample predictors and ZOH-predictors.
The traditional compressed sensing approach is naturally offline, in that it amounts to sparsely sampling and reconstructing a given dataset. Recently, an online algorithm for performing compressed sensing on streaming data was proposed: the scheme uses recursive sampling of the input stream and recursive decompression to accurately estimate stream entries from the acquired noisy measurements. In this paper, we develop a novel Newton-type forward-backward proximal method to recursively solve the regularized Least-Squares problem (LASSO) online. We establish global convergence of our method as …
This paper studies the problem of designing sampled-data observers and observer-based, sampled-data, output feedback stabilizers for systems with both discrete and distributed, state and output time-delays. The obtained results can be applied to time delay systems of strict-feedback structure, transport Partial Differential Equations (PDEs) with nonlocal terms, and feedback interconnections of Ordinary Differential Equations with a transport PDE. The proposed design approach consists in exploiting an existing observer, which features robust exponential convergence of the error when continuous-…
Sampled-Data Boundary Feedback Control of 1-D Parabolic PDEs
本文研究了在有界域上1维线性抛物型系统中使用零阶保持器的边界反馈控制应用，证明了在采样周期足够小的情况下，采样-保持的连续时间边界反馈能保证闭环指数稳定性，提供了状态加权2范数的稳定性估计和对采样计划扰动的鲁棒性。
Large-Signal Stability Analysis of Optimization-Based Secondary Control for Distributed Energy Resources
研究电力系统中基于采样数据优化的DER二次控制的大信号稳定性，通过结合多种动力学与测量等构建闭环系统，超越局部线性化分析，给出相关可计算界限，刻画稳态点，建立稳定性，为该控制提供数学基础。
Secure estimator design for Lur'e-type systems with nonuniformly and synchronously sampled measurements under attacks [extended version]
本文提出了一种安全状态估计器设计，用于连续时间Lur'e型系统，其输出可能被恶意篡改。该估计器在少于一半传感器受攻击且采样时间上界有限时，提供不受攻击影响的准确状态估计。
Global Stability and Step Size Robustness of RMSProp
本文提出了一种用于RMSProp优化算法的输入到状态Lyapunov函数，证明了该算法在恒定步长下的全局渐近稳定性以及对任意有界时变步长规则的鲁棒性。
Recently, a framework for controller design of sampled-data nonlinear systems via their approximate discrete-time models has been proposed in the literature. In this paper we develop novel tools that can be used within this framework and that are very useful for tracking problems. In particular, results for stability analysis of parameterized time-varying discrete-time cascaded systems are given. This class of models arises naturally when one uses an approximate discrete-time model to design a stabilizing or tracking controller for a sampled-data plant. While some of our results parallel their…
This paper presents results for the sampled-data boundary feedback control to the Stefan problem. The Stefan problem represents a liquid-solid phase change phenomenon which describes the time evolution of a material's temperature profile and the interface position. First, we consider the sampled-data control for the one-phase Stefan problem by assuming that the solid phase temperature is maintained at the equilibrium melting temperature. We apply Zero-Order-Hold (ZOH) to the nominal continuous-time control law developed in [23] which is designed to drive the liquid-solid interface position to …
The aim of this paper is to provide a novel systematic methodology for the design of sampled-data observers for Linear Kuramoto-Sivashinsky systems (LK-S) with non-local outputs. More precisely, we extend the systematic sampled-data observer design approach which is based on the use of an Inter-Sample output predictor to the class of LK-S systems. By using a small-gain methodology we provide sufficient conditions ensuring the Input-to-Output Stability (IOS) property of the estimation errors in the presence of measurement noise. Our Inter-Sample output predictor contains a tuning term which can…
On the necessity of looped-functionals arising in the analysis of pseudo-periodic, sampled-data and hybrid systems
本文证明了在分析伪周期、采样数据和混合系统时，循环函数的条件不仅是充分的，也是必要的，扩展至更广泛的线性系统类。
Sampled-Data Boundary Feedback Control of 1-D Hyperbolic PDEs with Non-Local Terms
本文研究了1-D线性一阶双曲型方程组非局部项的边界反馈控制，采用零阶保持器设计，证明了采样周期足够小可保证闭环指数稳定性，且采样周期越小收敛速度越快。
Sampled-Data Stabilization of Nonlinear Delay Systems with a Compact Absorbing Set
本文提出了一种基于ISP-O-P-DFC方案的全局采样数据稳定化方法，适用于具有紧致吸收集和输入/测量时滞的系统，并对采样调度扰动具有鲁棒性。
This paper provides observer-based sampled-data and event-triggered boundary control strategies for a class of reaction-diffusion PDEs with collocated sensing and Robin actuation. Infinite-dimensional backstepping design is used as the underlying control approach. It is shown that the continuous-time output feedback boundary control applied in a sample-and-hold fashion ensures global closed-loop exponential stability, provided that the sampling period is sufficiently small. Further, robustness to perturbations of the sampling schedule is guaranteed. For the event-triggered implementation of th…
Global stabilization of feedforward systems under perturbations in sampling schedule
针对采样调度存在扰动的非线性前馈系统，提出不连续采样反馈律，实现全局渐近镇定，且采样周期序列一致有界于最大允许采样周期。
In this paper we study the global exponential stability in the $L^{2}$ norm of semilinear $1$-$d$ hyperbolic systems on a bounded domain, when the source term and the nonlinear boundary conditions are Lipschitz. We exhibit two sufficient stability conditions: an internal condition and a boundary condition. This result holds also when the source term is nonlocal. Finally, we show its robustness by extending it to global Input-to State Stability in the $L^{2}$ norm with respect to both interior and boundary disturbances.
ISS Lyapunov Functions for Cascade Switched Systems and Sampled-Data Control
本文研究了级联连接的切换系统输入到状态稳定性问题，提出了用于级联块的ISS Lyapunov函数，并利用这些函数构建整体系统的ISS Lyapunov函数，同时分析了混合系统的稳定性并推导了平均驻留时间的下界。
This paper presents a deterministic hybrid observer for the attitude dynamics of a rigid body that guarantees global asymptotical stability. Any smooth attitude observer suffers from the inherent topological restriction that it is impossible to achieve global attractivity, and as such, attitude observers have been developed with almost global asymptotic stability. We demonstrate that such attitude observer may yields very slow initial convergence rates, and motivated by this, we propose a hybrid attitude observer that guarantees global asymptotic stability on the special orthogonal group. We i…
Loop-Back Interference Suppression for OFDM Signals via Sampled-Data Control
本文提出利用采样数据H∞设计数字滤波器，以稳定系统并抑制连续时间干扰，通过仿真验证方法有效性。
Let $f$ be a polynomial function of $n$ variables. In this paper, we study stability of global Hölderian error bound for a nonempty sublevel set $[f \le t]$ under a perturbation of $t$. In this paper, we give: * Criteria for the existence of a global Hölderian error bound of $[f \le t]$; * Formulas for computing explicitly the set $$H(f) := \{ t \in \mathbb{R}: [f \le t]\ \text{has a global Hölderian error bound}\}$$ via some Fedoryuk values of $f$ and definition of threshold for the existence of global Hölderian error bound of $f$; * Definition of all types of stability of global Hölderian er…
This paper is devoted to the stability analysis of an n species Lotka-Volterra system with discrete and distributed delays. Stochastic perturbations to the parameters of the model are allowed. Sufficient conditions for the almost sure global asymptotic stability of the positive equilibrium are derived in terms of LMIs. The efficiency of the proposed method is illustrated by numerical examples.
Analog Data-Driven Theory and Estimation of the Region of Attraction Using Sampled-Data
本研究提出基于系统轨迹获取非线性向量场线性表示的凸优化方法并证明相关稳定性，还给出基于逐点几何流的吸引域估计算法，经仿真验证有效。
This paper is concerned with the stability issue in determining absorption and diffusion coefficients in photoacoustic imaging. Assuming that the medium is layered and the acoustic wave speed is known we derive global Hölder stability estimates of the photo-acoustic inversion. These results show that the reconstruction is stable in the region close to the optical illumination source, and deteriorate exponentially far away. Several experimental pointed out that the resolution depth of the photo-acoustic modality is about tens of millimeters. Our stability estimates confirm these observations an…
This paper addresses stochastic stabilization in case where implementation of control policies is digital, i. e., when the dynamical system is treated continuous, whereas the control actions are held constant in predefined time steps. In such a setup, special attention should be paid to the sample-to-sample behavior of the involved Lyapunov function. This paper extends on the stochastic stability results specifically to address for the sample-and-hold mode. We show that if a Markov policy stabilizes the system in a suitable sense, then it also practically stabilizes it in the sample-and-hold s…
Optimal Discretization of Analog Filters via Sampled-Data H-infinity Control Theory
本文基于采样数据H∞控制理论，提出模拟滤波器（或控制器）的最优离散化方法，通过最小化误差系统H∞范数，解决离散化问题，并扩展至多速率系统，讨论反馈控制器离散化的稳定性，通过数值实验验证方法有效性。
Verifying nonlinear stability of a laminar fluid flow against all perturbations is a central challenge in fluid dynamics. Past results rely on monotonic decrease of a perturbation energy or a similar quadratic generalized energy. None show stability for the many flows that seem to be stable despite these energies growing transiently. Here a broadly applicable method to verify global stability of such flows is presented. It uses polynomial optimization computations to construct non-quadratic Lyapunov functions that decrease monotonically. The method is used to verify global stability of 2D plan…
Inferring Global Exponential Stability Properties using Lie-bracket Approximations
本文建立从关联李括号系统的全局一致指数稳定性推断输入仿射系统一致全局指数稳定性的新结果，并将其用于未知线性系统自适应控制的颤振频率调节，数值仿真验证了结论。
Sampled-Data Observers for 1-D Parabolic PDEs with Non-Local Outputs
本文针对具有非局部输出的一维抛物型PDEs，提出了含与不含样本间预测器的两种采样数据观测器，导出了误差指数收敛及IOS稳定性的显式条件，并通过示例验证了方法的可扩展性。
This note presents a self-contained and streamlined exposition of chemical-network results due to Feinberg, Horn, and Jackson. As an application, it shows the global asymptotic stability to equilibria of McKeithan's kinetic proofreading model for T-cell receptor signal transduction.
In this paper, a class of abstract dynamical systems is considered which encompasses a wide range of nonlinear finite- and infinite-dimensional systems. We show that the existence of a non-coercive Lyapunov function without any further requirements on the flow of the forward complete system ensures an integral version of uniform global asymptotic stability. We prove that also the converse statement holds without any further requirements on regularity of the system. Furthermore, we give a characterization of uniform global asymptotic stability in terms of the integral stability properties and a…
Global Stability Notions to Enhance the Rigor and Robustness of Adaptive Control
本文以研究生讲义形式系统阐述时不变系统自适应控制所需的全局稳定性概念及证明工具，阐明其产生机制，从而提升自适应控制理论的严谨性与鲁棒性。
Global Stability Results for Traffic Networks
本文研究了交通网络中非线性、大尺度、不确定离散时间系统的全局渐近稳定性和指数稳定性条件，通过向量Lyapunov函数推导出结果，并应用于交通网络的无拥堵均衡点稳定性分析。
Regularity and Stability Properties of Selective SSMs with Discontinuous Gating
研究选择性状态空间模型稳定性，通过无源性等方法得到多项成果，推导采样块LMI作正则化器，在多数据集验证其能减少Mamba核心LMI违规，提升内部被动性和状态规范诊断。
扫码添加微信好友，提出您的宝贵建议 👇
💡 备注请填写：网站反馈
发表机构由 AI 从论文文本抽取，如发现错误，欢迎反馈修正建议。