✦ LIBER ✦

On the stability of nonlinear sampled data feedback systems

✍ Scribed by Chi-Tsong Chen

Publisher: Elsevier Science
Year: 1965
Tongue: English
Weight: 412 KB
Volume: 280
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(65)90311-x

No coin nor oath required. For personal study only.

✦ Synopsis

7'his work is a generalization of Tsypkin's stability criterion for a class of time-varying nonlinear sampled-data feedback systems. Some sufficient conditions for the response to any bounded input sequence to be bounded are preserded. No assumptions are made concerning the internal dynamics of the linear subsystem, except that its inputoutput relation is of the form of convolution. The essence of the proof is to consider the nonlinear system as a perturbation of a stable linear sys~m.

📜 SIMILAR VOLUMES

Sampled-data state feedback stabilizatio

Sampled-data state feedback stabilization of a class of nonlinear systems based on Euler approximation

✍ Fahad Mumtaz Malik; Mohammad Bilal Malik; Khalid Munawar 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 164 KB 👁 2 views

Linear estimator stabilization of nonlin

Linear estimator stabilization of nonlinear sampled-data systems

✍ Mohamed I. Younis; William G. Vogt; Magdi S. Mahmoud 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 854 KB

The fundamental Luenberger observer for continuous systems can be extended to stabilize linear, and also a class of nonlinear, sampled-data systems by an algorithmic procedure which determines observer constants and feedback gains.

The stability analysis of nonlinear feed

The stability analysis of nonlinear feedback systems

✍ Tanes Khambanonda; Ahmet Palazoglu; Jose A. Romagnoli 📂 Article 📅 1990 🏛 American Institute of Chemical Engineers 🌐 English ⚖ 741 KB

## Abstract A stability condition is developed for multivariable, nonlinear feedback systems. The method is based on a modified sector condition and is combined with a polynomial expansion of the nonlinear system to create viable approximations that can be exploited within the sector bound setting.

Stability of Saturating Nonlinear Feedba

Stability of Saturating Nonlinear Feedback Systems

✍ Edwin P.F. Kan 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 483 KB

The stability of a general class of saturating nonlinear feedback system-s excited by bounded inputs is investigated. Explicit bounds are obtained on the magnit& and duration of the error signal when it shoots out front the unsaturated zone into the saturation zone. Thus, when the linear plant of th

On bounded-input-bounded-output stabilit

On bounded-input-bounded-output stability of a certain class of nonlinear sampled data systems

✍ R.P. Iwens; A.R. Bergen 📂 Article 📅 1966 🏛 Elsevier Science 🌐 English ⚖ 505 KB

A su~cient condition for absolute stability in the bounded-input-bounded-output sense for a class of nonlinear sampled-data systems is obtained. The stability theorem yields a Popov-type frequency domain test on the linear plant. The obtained criterion is identical to the criterion that establishes

Stability of nonlinear time-varying feed

Stability of nonlinear time-varying feedback systems

✍ Yo-Sung Cho; Kumpati S. Narendra 📂 Article 📅 1968 🏛 Elsevier Science 🌐 English ⚖ 526 KB

In this paper, the stability of nonlinear time-varying feedback systems is studied using a "passive operator" technique. The feedback system is assumed to consist of a linear time-invariant operator G(s) in the forward path and a nonlinear time-varying gain function f( • )K(t) in the feedback path.