✦ LIBER ✦

An embedding approach to the stability of some nonlinear discrete systems

✍ Scribed by Guy Jumarie

Publisher: Elsevier Science
Year: 1981
Tongue: English
Weight: 315 KB
Volume: 312
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(81)90073-9

No coin nor oath required. For personal study only.

✦ Synopsis

An embedding approach is proposed to investigate the stability of some nonlinear sampled data systems. It is shown that the stability criterion so obtained may conclude for stability when other criteria do not apply. The approach could be extended in a more general way.

📜 SIMILAR VOLUMES

A practical approach to control of nonli

A practical approach to control of nonlinear discrete-time state-delay systems

✍ El-Kébir Boukas; Magdi S. Mahmoud 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 165 KB

## Abstract The robust feedback stabilization of a class of nonlinear discrete‐time systems with unknown constant state‐delay and uncertain function of nonlinear perturbations is considered based on linear matrix inequality (LMI)‐based analysis and design procedures. In both cases of nominal and re

ON THE LYAPUNOV APPROACH TO ROBUST STABI

ON THE LYAPUNOV APPROACH TO ROBUST STABILIZATION OF UNCERTAIN NONLINEAR SYSTEMS

✍ FEDERICO NAJSON; ELIEZER KREINDLER 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 923 KB

In the Lyapunov approach employed in this paper, known in the literature as Lyapunov control, or minmar control, robust, global uniform asymptotic stability is achieved by a discontinuous control law which ensures that the Lyapunov derivative is negative despite bounded uncertainty. For that, it is

On the stability of receding horizon con

On the stability of receding horizon control of nonlinear discrete-time systems

✍ Mazen Alamir; Guy Bornard 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 373 KB

Robust filtering for a class of discrete

Robust filtering for a class of discrete-time uncertain nonlinear systems: An H∞ approach

✍ Lihua Xie; Carlos E. De Souza; Youyi Wang 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 739 KB

This paper deals with the H, filtering problem for a class of discrete-time nonlinear systems with or without real time-varying parameter uncertainty and unknown initial state. For the case when there is no parametric uncertainty in the system, we are concerned with designing a nonlinear H, filter s

Analysis of input-to-state stability for

Analysis of input-to-state stability for discrete time nonlinear systems via dynamic programming

✍ Shoudong Huang; Matthew R. James; Dragan Nešić; Peter M. Dower 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 304 KB

A parameterization approach to disturban

A parameterization approach to disturbance decoupling problem with stability of nonlinear systems

✍ Xiaohua Xia 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 536 KB

parameterization approach is used to deal with the disturbance decoupling problem with stability of nonlinear systems. It is shown that one may cast within this approach two different methods proposed earlier. A complete solution is also provided to the disturbance decoupling problem with stability