๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Exponentially stable linear discrete systems

โœ Scribed by Jinn-Wen Wu; David P. Brown

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
503 KB
Volume
326
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

โœฆ Synopsis

The exponential stability of linear shift-variant discrete systems is investigated.

A discrete system is exponentially stable tf there exists constants k > 0 and C > 0 such that the solution IlX(n)/l -+ exp (-nk)llX(O)/lC + 0 as n + co. Some new sufficient conditions for exponential stability are proven and a procedure is given to calculate a bound on the allowable variations in the system matrix such that the system remains exponentially stable.

๐Ÿ“œ SIMILAR VOLUMES

Reconstruction of controls in exponentia
Reconstruction of controls in exponentially stable linear systems subjected to small perturbations
โœ V.I. Maksimov ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 357 KB

The problem of the dynamical reconstruction of the variable input of an exponentially stable linear system subjected to small non-linear perturbations is considered. In the case of inaccurate observations of its phase trajectory, an algorithm for solving this problem is given, based on the method of

Exponentially Stable Feedback Control of
Exponentially Stable Feedback Control of Discrete-Time Nonlinear Distributed Parameter Systems on Banach Spaces
โœ Mark J. Balas ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 261 KB

Practical engineering systems require feedback control implementation in discrete-time; however, stable control of an infinite-dimensional distributed param-ลฝ . eter system DPS is not always guaranteed. We introduce two nonlinear con-ลฝ . trollers, a DPS one and a finite-dimensional one with residual

Anti-windup for exponentially unstable l
Anti-windup for exponentially unstable linear systems
โœ Andrew R. Teel ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 152 KB

An algorithm for combining arbitrary linear and nonlinear controllers is specialized to the control design problem for exponentially unstable linear systems with input saturation. The algorithm solves an anti-windup problem: "rst, the linear controller operates without assistance as long as it does