Journal ArticleDOI
On characterizations of the input-to-state stability property
Eduardo D. Sontag,Yuan Wang +1 more
TLDR
In this paper, the Lyapunov sufficient condition for "input-to-state stability" (ISS) is also shown to be necessary and sufficient, which is an open question raised by several authors.About:
This article is published in Systems & Control Letters.The article was published on 1995-04-10. It has received 1672 citations till now. The article focuses on the topics: Lyapunov function.read more
Citations
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Book
Model Predictive Control
TL;DR: This paper recalls a few past achievements in Model Predictive Control, gives an overview of some current developments and suggests a few avenues for future research.
Journal ArticleDOI
Distributed Event-Triggered Control for Multi-Agent Systems
TL;DR: The controller updates considered here are event-driven, depending on the ratio of a certain measurement error with respect to the norm of a function of the state, and are applied to a first order agreement problem.
Journal ArticleDOI
Quantized feedback stabilization of linear systems
TL;DR: A new control design methodology is proposed, which relies on the possibility of changing the sensitivity of the quantizer while the system evolves, which yields global asymptotic stability.
Journal ArticleDOI
Input-to-state stability for discrete-time nonlinear systems
Zhong-Ping Jiang,Yuan Wang +1 more
TL;DR: The input-to-state stability property and small-gain theorems are introduced as the cornerstone of new stability criteria for discrete-time nonlinear systems.
Book ChapterDOI
Input to State Stability: Basic Concepts and Results
TL;DR: This expository presentation addresses the precise formulation of questions of robustness with respect to disturbances, formulated in the paradigm of input to state stability, with an intuitive and informal presentation of the main concepts.
References
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Journal ArticleDOI
Smooth stabilization implies coprime factorization
TL;DR: In this paper, it was shown that coprime right factorizations exist for the input-to-state mapping of a continuous-time nonlinear system provided that the smooth feedback stabilization problem is solvable for this system.
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Small-gain theorem for ISS systems and applications
TL;DR: This work addresses the problem of global asymptotic stabilization via partial-state feedback for linear systems with nonlinear, stable dynamic perturbations and for systems which have a particular disturbed recurrent structure.
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A Smooth Converse Lyapunov Theorem for Robust Stability
TL;DR: In this article, a converse Lyapunov function theorem motivated by robust control analysis and design is presented, which is based upon, but generalizes, various aspects of well-known classical theorems.
Journal ArticleDOI
Further facts about input to state stabilization
TL;DR: In this article, the results about input to state stabilizability are shown to hold even for systems which are not linear in controls, provided that a more general type of feedback is allowed Applications to certain stabilization problems and coprime factorizations, as well as comparisons to other results on input to stability, are briefly discussed.
Journal ArticleDOI
Stabilization by output feedback for systems with ISS inverse dynamics
Laurent Praly,Zhong-Ping Jiang +1 more
TL;DR: In this paper, the authors consider the subclass of set systems which admit a global normal form where only the output and not its time derivatives appear in the nonlinearities and prove that, when the inverse dynamics are "input-to-state stable" (ISS) and a finite gain condition is satisfied, global asymptotic stability can be achieved by dynamic output feedback.