✦ LIBER ✦

Stability result of a sixth order non linear system

✍ Scribed by A.S.C. Sinha

Publisher: Elsevier Science
Year: 1971
Tongue: English
Weight: 188 KB
Volume: 7
Category: Article
ISSN: 0005-1098
DOI: 10.1016/0005-1098(71)90029-x

No coin nor oath required. For personal study only.

✦ Synopsis

LEIGHTON and SKIDMORE have studied the stability of an isolated equilibrium or critical point for the systems associated with second, third, and fourth order nonlinear differential equations. The author of this paper has extended the results to a sixth-order system.

📜 SIMILAR VOLUMES

Non-linear, non-autonomous systems of fi

Non-linear, non-autonomous systems of first order

✍ B.V. Dasarathy 📂 Article 📅 1970 🏛 Elsevier Science 🌐 English ⚖ 213 KB

Componentwise stability of linear system

Componentwise stability of linear systems: a non-symmetrical case

✍ A. Hmamed; A. Benzaouia 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 238 KB 👁 2 views

In this paper, we present an extension of the concept of componentwise asymptotic (exponential) stability of linear systems in the non-symmetrical case. The main motivation for these results is the need for a more detailed evaluation of the dynamical behaviour of linear systems in electrical enginee

Asymptotic stability of interconnected p

Asymptotic stability of interconnected passive non-linear systems

✍ A. Isidori; S. M. Joshi; A. G. Kelkar 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 116 KB 👁 2 views

This paper addresses the problem of stabilization of a class of internally passive non-linear time-invariant dynamic systems. A class of non-linear marginally strictly passive (MSP) systems is defined, which is less restrictive than input-strictly passive systems. It is shown that the interconnectio

Guaranteed-cost stabilization of non-lin

Guaranteed-cost stabilization of non-linear stochastic systems

✍ Edwin Engin Yaz 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 245 KB 👁 2 views

The control of uncertain non-linear discrete-time systems having stochastic cone-bounded non-linearities is considered. First, a quadratic performance bound and a guaranteed-cost optimal state feedback controller are derived. Then, an auxiliary system is introduced. It is shown that the quadratic op

AN ALGORITHM FOR RESPONSE AND STABILITY

AN ALGORITHM FOR RESPONSE AND STABILITY OF LARGE ORDER NON-LINEAR SYSTEMS — APPLICATION TO ROTOR SYSTEMS

✍ P. Sundararajan; S.T. Noah 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 304 KB

A numerical algorithm to calculate the periodic response, stability and bifurcations of a periodically excited non-conservative, Multi-Degree of Freedom (MDOF) system with strong local non-linearities is presented. First, the given large order system is reduced using a fixed-interface component mode

On some second-order non-linear systems

On some second-order non-linear systems of a hyperbolic-parabolic type

✍ Andrzej Chrzȩszczyk 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 362 KB

## Abstract We consider local solutions to the Cauchy problem for a class of non‐linear hyperbolic‐parabolic systems generalizing the systems of elasticity and thermoelasticity. Our main purpose is to relax the usual regularity requirements to include the nonclassical solutions into considerations.