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1
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Robust dynamic output feedback fault-tolerant control for Takagi-Sugeno fuzzy systems with interval time-varying delay via improved delay partitioning approach

100%
Sun C., Wang F., He X.
Open Mathematics
|
2016
|
tom 14
|
nr 1
986-1006
EN
This paper addresses the problem of robust fault-tolerant control design scheme for a class of Takagi-Sugeno fuzzy systems subject to interval time-varying delay and external disturbances. First, by using improved delay partitioning approach, a novel n-steps iterative learning fault estimation observer under H ∞ constraint is constructed to achieve estimation of actuator fault. Then, based on the online estimation information, a fuzzy dynamic output feedback fault-tolerant controller considered interval time delay is designed to compensate for the impact of actuator faults, while guaranteing that the closed-loop system is asymptotically stable with the prescribed H ∞ performance. Moreover, all the obtained less conservative sufficient conditions for the existence of fault estimation observer and fault-tolerant controller are formulated in terms of linear matrix inequalities. Finally, the numerical examples and simulation results are presented to show the effectiveness and merits of the proposed methods.
2
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Pullback incremental attraction

100%
Kloeden P. E., Lorenz T.
Nonautonomous Dynamical Systems
|
2014
|
tom 1
EN
A pullback incremental attraction, a nonautonomous version of incremental stability, is introduced for nonautonomous systems that may have unbounded limiting solutions. Its characterisation by a Lyapunov function is indicated.
3
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Gradient systems of closed operators

100%
Pata V.
Open Mathematics
|
2009
|
tom 7
|
nr 3
487-492
EN
A classical result on the existence of global attractors for gradient systems is extended to the case of a semigroup S(t) lacking strong continuity, but satisfying the weaker property of being a closed map for every fixed t ≥ 0.
4
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A class of continua that are not attractors of any IFS

84%
Kulczycki M., Nowak M.
Open Mathematics
|
2012
|
tom 10
|
nr 6
2073-2076
EN
This paper presents a sufficient condition for a continuum in ℝn to be embeddable in ℝn in such a way that its image is not an attractor of any iterated function system. An example of a continuum in ℝ2 that is not an attractor of any weak iterated function system is also given.
5
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Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces

84%
Płonka P.
Annales Mathematicae Silesianae
|
2016
|
tom 30
|
nr 1
129-142
EN
In this paper we want to show the existence of a form of asymptotic stability of random dynamical systems in the sense of L. Arnold using arguments analogous to those presented by T. Szarek in [6], that is showing it using conditions generalizing the notion of tightness of measures. In order to do that we use tightness theory for random measures as developed by H. Crauel in [2].
6
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Global φ-attractor for a modified 3D Bénard system on channel-like domains

69%
Kapustyan O. V., Pankov A. V.
Nonautonomous Dynamical Systems
|
2014
|
tom 1
EN
In this paper we prove the existence of a global φ-attractor in the weak topology of the natural phase space for the family of multi-valued processes generated by solutions of a nonautonomous modified 3D Bénard system in unbounded domains for which Poincaré inequality takes place.
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