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相关论文: Output-input stability and minimum-phase nonlinear…

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We study the recently introduced notion of output-input stability, which is a robust variant of the minimum-phase property for general smooth nonlinear control systems. The subject of this paper is developing the theory of output-input…

最优化与控制 · 数学 2007-05-23 Daniel Liberzon

Stability and control of a non-linear system represent an important system configuration that frequently arises in practical engineering. Stability covers a vast range of systems that do not obey the superposition principle and applies to…

系统与控制 · 电气工程与系统科学 2022-02-04 Asifa Yousaf

In this paper we propose a new design paradigm, which employing a postprocessing internal model unit, to approach the problem of output regulation for a class of multivariable minimum-phase nonlinear systems possessing a partial normal…

系统与控制 · 电气工程与系统科学 2021-11-25 Michelangelo Bin , Lorenzo Marconi

Motivated by the regulator theory and adaptive controls, several notions on output stability in the framework of input-to-state stability (iss) were introduced for finite-dimensional systems. It turned out that these output stability…

最优化与控制 · 数学 2022-08-31 Hasala Gallolu Kankanamalage , Yuandan Lin , Yuan Wang

We introduce the notions of semi-uniform input-to-state stability and its subclass, polynomial input-to-state stability, for infinite-dimensional systems. We establish a characterization of semi-uniform input-to-state stability based on…

最优化与控制 · 数学 2022-05-30 Masashi Wakaiki

This paper deals with several related notions of output stability with respect to inputs. The inputs may be thought of as disturbances; when there are no inputs, one obtains generalizations of the classical concepts of partial stability.…

最优化与控制 · 数学 2007-05-23 Eduardo D. Sontag , Y. Wang

Input-to-state stability (ISS) allows estimating the impact of inputs and initial conditions on both the intermediate values and the asymptotic bound on the solutions. ISS has unified the input-output and Lyapunov stability theories and is…

最优化与控制 · 数学 2023-02-02 Andrii Mironchenko

A notion of detectability for nonlinear systems is discussed. Within the framework of ``input to state stability'' (ISS), a dual notion of ``output to state stability'' (OSS), and a more complete detectability notion, ``input-output to…

最优化与控制 · 数学 2007-05-23 Brian Ingalls

This paper presents necessary and sufficient characterizations of several notions of input to output stability. Similar Lyapunov characterizations have been found to play a key role in the analysis of the input to state stability property,…

最优化与控制 · 数学 2007-05-23 Eduardo D. Sontag , Y. Wang

This work primarily focuses on an operator inference methodology aimed at constructing low-dimensional dynamical models based on a priori hypotheses about their structure, often informed by established physics or expert insights. Stability…

机器学习 · 计算机科学 2024-03-04 Igor Pontes Duff , Pawan Goyal , Peter Benner

Input-to-state stability (ISS) unifies the stability and robustness in one notion, and serves as a basis for broad areas of nonlinear control theory. In this contribution, we covered the most fundamental facts in the infinite-dimensional…

系统与控制 · 电气工程与系统科学 2024-06-05 Andrii Mironchenko , Christophe Prieur

We introduce the concept of non-uniform input-to-state stability for networks. It combines the uniform global stability with the uniform attractivity of any subnetwork, while it allows for non-uniform convergence of all components. For an…

最优化与控制 · 数学 2021-07-29 Andrii Mironchenko

This paper deals with the output feedback stabilization problem of nonlinear multi-input multi-output systems having an uncertain input gain matrix. It is assumed that the system has a well-defined vector relative degree and that the zero…

系统与控制 · 计算机科学 2019-03-19 Wonseok Ha , Juhoon Back

This work explores Lyapunov characterizations of the input-output-to-state stability (IOSS) property for nonlinear systems. The notion of IOSS is a natural generalization of the standard zero-detectability property used in the linear case.…

最优化与控制 · 数学 2007-05-23 Mikhail Krichman , Eduardo D. Sontag , Yuan Wang

We study minimal conditions under which mild solutions of linear evolutionary control systems are continuous for arbitrary bounded input functions. This question naturally appears when working with boundary controlled, linear partial…

泛函分析 · 数学 2018-11-22 Birgit Jacob , Felix Schwenninger , Hans Zwart

This paper introduce the notion of output contraction that expands the contraction notion to the time-varying nonlinear systems with output. It pertains to the systems' property that any pair of outputs from the system converge to each…

系统与控制 · 电气工程与系统科学 2023-12-12 Hao Yin , Bayu Jayawardhana , Stephan Trenn

This work provides a framework for nonlinear model-free control of systems with unknown input-output dynamics, but outputs that can be controlled by the inputs. This framework leads to real-time control of the system such that a feasible…

系统与控制 · 电气工程与系统科学 2019-08-13 Amit K. Sanyal

We address a particular problem of output regulation for multi-input multi-output nonlinear systems. Specifically, we are interested in making the stability of an equilibrium point and the regulation to zero of an output, robust to (small)…

系统与控制 · 计算机科学 2015-08-04 Daniele Astolfi , Laurent Praly

Stability is a fundamental concept that refers to a system's ability to return close to its original state after disturbances. The minimal conditions for stability when system parameters vary in time, though common in physics, have been…

混沌动力学 · 物理学 2026-05-22 Arnaud Lazarus , Emmanuel Trélat

The concept of input-to-state stability (ISS) proposed in the late 1980s is one of the central notions in robust nonlinear control. ISS has become indispensable for various branches of nonlinear systems theory, such as robust stabilization…

最优化与控制 · 数学 2024-11-14 Rahma Heni
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