Results 241 to 250 of about 3,469,993 (296)

A Convex Approach to the Absolute Stability Problem

open access: yesIEEE Transactions on Automatic Control, 1994
In this paper the problem of absolute stability is revisited. It is show that it is possible to use convexity properties of the functions involved to develop an efficient algorithm for solving the absolute stability problem. Examples are presented to illustrate the results. >
J C Geromel
exaly   +5 more sources

Absolute stability

open access: yes, 2021
Absolute stability is one of the cornerstones of control theory. It was defined by Lurye and Postnikov in 1944 and has attracted much attention since then. Absolute stability concerns the stability of the feedback interconnection between a linear system and a nonlinear and/or uncertain object that belongs to a class of systems and is classically a ...
Carrasco, Joaquin, Heath, William
core   +3 more sources

Absolute Stability Methods

open access: yes
Absolute stability concerns the feedback interconnection of two causal systems: one being linear time-invariant, and the other belonging to a specific class. Its study has been the source for many important results in systems theory from the Popov criterion and so-called KYP Lemma in the 1960s through to applications of Integral Quadratic Constraint ...
Carrasco, Joaquin ; id_orcid 0000-0002-7499-6408   +2 more
openaire   +2 more sources

On the ordinal and absolute stability properties

open access: yes, 1978
This paper concerns absolute stability (in the sense of T. Ura) for compact sets with respect to an autonomous dynamical system. In particular, properties which have intrinsic absolute character are individuated (in the sense that if a compact set has such a property, then it has the same property for each degree). It is shown that asymptotic stability
VISENTIN, FRANCESCA
openaire   +3 more sources

Absolute stability, absolute stabilization and structured dissipativity

2000
In this chapter, we revisit the classical Lur’e-Postnikov approach to the stability of nonlinear control systems. The problems considered in this chapter include the problem of absolute stability and also its extensions such as the problem of absolute stabilization and the problem of structured dissipativity.
Ian R. Petersen   +2 more
openaire   +1 more source

Absolute Stability of Time-Delay Systems With Sector-Bounded Nonlinearity

open access: yesAutomatica, 2005
This paper deals with the problem of absolute stability of time-delay systems with sector-bounded nonlinearity. Some new delay-dependent stability criteria are obtained and formulated in the form of linear matrix inequalities (LMIs).
Qing-Long Han
exaly   +2 more sources

On absolute stability of neural networks

Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94, 2002
The aim of this paper is to discuss the role of Absolute Stability (ABST) in the design of neural optimization solvers and to find necessary and sufficient conditions for ABST for some classes of neural networks of applicative interest. By ABST it is meant that there is a unique equilibrium point attracting all trajectories of motion and that this ...
Mauro Forti   +3 more
openaire   +1 more source

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