๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Robust Stability and Performance Analysis for the System with Linear Dependent Perturbations

โœ Scribed by Chieh-Li Chen; Shyi-Kae Yang

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
250 KB
Volume
213
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, the sufficient conditions of the robust stability and robust performance for both continuous-time and discrete-time systems with structured perturbations are obtained using the matrix measure based approach. Using the derived results along with the Lyapunov based approach, several results for determining the robust criterion for the control system with time-varying perturbations are also obtained. Numerical examples have been given to illustrate the effectiveness of the proposed results. It shows that the proposed approach is less conservative than those proposed in the previous literature.

๐Ÿ“œ SIMILAR VOLUMES

Robust delay-range-dependent stabilizati
Robust delay-range-dependent stabilization for Markovian jump systems with mode-dependent time delays and nonlinearities
โœ Guoliang Wang; Qingling Zhang; Victor Sreeram ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 166 KB

## Abstract This paper discusses the robust stabilization problem for a class of Markovian jump systems with nonlinear disturbances and time delays, which are timeโ€varying in intervals and depend on system mode. By exploiting a new Lyapunovโ€“Krasovskii functional, which takes into account the range

Necessary and sufficient conditions for
Necessary and sufficient conditions for robust stability of discrete systems with coefficients depending continuously on two interval parameters
โœ Ezra Zeheb ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 376 KB

Al~a~et--Let a real polynomial in a complex variable, whose coefficients are any given continuous functions of two real interval parameters, be given. Necessary and sufficient conditions are derived for the polynomial to have all its zeros outside (or inside) the unit circle of the complex variable

Continuous dependence on the heat source
Continuous dependence on the heat source and non-linear stability for convection with internal heat generation
โœ Brian Straughan ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 401 KB ๐Ÿ‘ 1 views

## Abstract It is shown that the solution to the boundaryโ€initial value problem for a heatโ€conducting viscous fluid depends continuously on changes in the heat supply function, for the improperly posed backward in time problem. A nonโ€linear convection threshold is also determined for the problem of