Journal ArticleDOI
On Characterizations of Input-to-State Stability with Respect to Compact Sets
Eduardo D. Sontag,Yuan Wang +1 more
TLDR
In this paper, a characterisation of ISS-stability is shown to generalize without change to the case of stability with respect to sets, and some results on ISS stability are mentioned as well.About:
This article is published in IFAC Proceedings Volumes.The article was published on 1995-06-01. It has received 92 citations till now. The article focuses on the topics: Stability theory.read more
Citations
More filters
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.
Journal ArticleDOI
Design of Robust Adaptive Controllers for Nonlinear Systems with Dynamic Uncertainties
Zhong-Ping Jiang,Laurent Praly +1 more
TL;DR: A modified adaptive backstepping design procedure is proposed for a class of nonlinear systems with three types of uncertainty: (i)unknown parameters; (ii)uncertain nonlinearities and (iii)unmodeled dynamics.
Journal ArticleDOI
A combined backstepping and small-gain approach to robust adaptive fuzzy control for strict-feedback nonlinear systems
TL;DR: A unified and systematic procedure is employed to derive two kinds of novel robust adaptive tracking controllers by use of the input-to-state stability (ISS) and by combining the backstepping technique and generalized small gain approach.
Journal ArticleDOI
Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
TL;DR: In this paper, the authors consider interconnections of nonlinear subsystems in the input-to-state stability (ISS) framework, where a gain matrix is used to encode the mutual dependencies of the systems in the network.
Journal ArticleDOI
Inverse optimal design of input-to-state stabilizing nonlinear controllers
Miroslav Krstic,Zhong-Hua Li +1 more
TL;DR: It is shown that input-to-state stabilizability (as defined by Sontag,1989, 1995) is both necessary and sufficient for the solvability of a Hamilton-Jacobi-Isaacs equation associated with a meaningful differential game problem similar to, but more general than, the "nonlinear H/sub /spl infin//" problem.
References
More filters
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.
Book
Nonlinear Control Systems: An Introduction
TL;DR: This chapter discusses the development of Geometric Theory of State Feedback for Multi-Input Multi-Output Systems and its applications in control systems.
Journal ArticleDOI
On characterizations of the input-to-state stability property
Eduardo D. Sontag,Yuan Wang +1 more
TL;DR: 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.
Journal ArticleDOI
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.