3,168 research outputs found
H∞ control of nonlinear systems: a convex characterization
The nonlinear H∞-control problem is considered with an emphasis on developing machinery with promising computational properties. The solutions to H∞-control problems for a class of nonlinear systems are characterized in terms of nonlinear matrix inequalities which result in convex problems. The computational implications for the characterization are discussed
Stabilizing switching signals: a transition from point-wise to asymptotic conditions
Characterization of classes of switching signals that ensure stability of
switched systems occupies a significant portion of the switched systems
literature. This article collects a multitude of stabilizing switching signals
under an umbrella framework. We achieve this in two steps: Firstly, given a
family of systems, possibly containing unstable dynamics, we propose a new and
general class of stabilizing switching signals. Secondly, we demonstrate that
prior results based on both point-wise and asymptotic characterizations follow
our result. This is the first attempt in the switched systems literature where
these switching signals are unified under one banner.Comment: 7 page
Analysis of input-to-state stability for discrete time nonlinear systems via dynamic programming
The input-to-state stability (ISS) property for systems with disturbances has received considerable attention over the past decade or so, with many applications and characterizations reported in the literature. The main purpose of this paper is to present analysis results for ISS that utilize dynamic programming techniques to characterize minimal ISS gains and transient bounds. These characterizations naturally lead to computable necessary and sufficient conditions for ISS. Our results make a connection between ISS and optimization problems in nonlinear dissipative systems theory (including L2-gain analysis and nonlinear H∞ theory). As such, the results presented address an obvious gap in the literature. © 2005 Elsevier Ltd. All rights reserved
Non-Uniform in Time Robust Global Asymptotic Output Stability for Discrete-Time Systems
In this paper the notions of non-uniform in time Robust Blobal Asymptotic
Output Stability (RGAOS) and Input-to-Output Stability (IOS) for discrete-time
systems are studied. Characterizations as well as links between these notions
are provided. Particularly, it is shown that a discrete-time system with
continuous dynamics satisfies the non-uniform in time IOS property if and only
if the corresponding unforced system is non-uniformly in time RGAOS. Necessary
and sufficient conditions for the solvability of the Robust Output Feedback
Stabilization (ROFS) problem are also given.Comment: Submitted to the International Journal of Robust and Nonlinear
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