New results on practical stability for linear and nonlinear uncertain systems

equations. Furthermore, based on the Lyapunov method and the linear matrix inequality approach, the sufficient conditions of exponential stability for a class of uncertain systems with time-varying delays and nonlinear perturbations are derived. Finally, two numerical examples are given to demonstrate the validity of the results. 1. Introduction Key words: Robust stability, nonlinear systems, sum of squares, contraction analysis. 1 Introduction Computational methods have become increasingly im-portant in linear and nonlinear system analysis. One im-portant example is the use of interior point methods to …

07/01/2015 · ABSTRACTThis paper proposes a robust adaptive observer for a class of singular nonlinear non-autonomous uncertain systems with unstructured unknown system and derivative matrices, and unknown bounded nonlinearities. Unlike many existing observers, no strong assumption such as Lipschitz condition is imposed on the recommended system. An augmented system is constructed, … 01/10/2009 · This paper investigates the stability and stabilization problem of fractional-order linear systems with nonlinear uncertain parameters, which allow second-order uncertain parameters. The uncertainty in the fractional-order model appears in the form of a combination of additive uncertainty and multiplicative uncertainty. It is shown that the fractional-order model has a strong practical background.

Stability of Nonlinear Systems By Guanrong Chen Department of Electronic Engineering City University of Hong Kong Kowloon, Hong Kong SAR, China [email protected] In Encyclopedia of RF and Microwave Engineering, Wiley, New York, pp. 4881-4896, December 2004

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01/03/2015 · Discrete linear repetitive processes operate over a subset of the upper-right quadrant of the 2D plane. They arise in the modeling of physical processes and also the existing systems theory for them can be used to effect in solving control problems for other classes of systems, including iterative learning control design. This paper uses a form of the generalized Kalman–Yakubovich–Popov