Invariance of asymptotic stability of perturbed linear systems on Hilbert space

1991 ◽  
Vol 68 (1) ◽  
pp. 75-93 ◽  
Author(s):  
N. U. Ahmed ◽  
P. Li
Keyword(s):  
Hilbert Space ◽  
Asymptotic Stability ◽  
Linear Systems ◽  
Perturbed Linear Systems

scholarly journals Remarks on the Asymptotic Behaviour of Perturbed Linear Systems

1970 ◽  
Vol 11 (1) ◽  
pp. 84-84 ◽  
Author(s):  
James S. W. Wong
Keyword(s):  
Asymptotic Behaviour ◽  
Linear Systems ◽  
Image Position ◽  
Perturbed Linear Systems

Remarks 1, 3 and 5 are incorrect as stated. They should be supplemented by the following observations:(i) In case the perturbing term is linear in y, i.e. f(t, y) = B(t)y, the conclusion of Theorem 1 will follow from Lemma 1 when applied to equation (15) if we assume, instead of (6),The hypothesis given in Trench's theorem is sufficient to imply (*) but not (6). A similar comment applies to Remark 5.

scholarly journals Stabilization of Perturbed Linear Systems with Time-Varying Delays in States and Inputs

2006 ◽  
Vol 49 (2) ◽  
pp. 455-462
Author(s):  
Chih-Chiang CHENG ◽  
Chih-Chin WEN ◽  
Jian-Liung CHEN
Keyword(s):  
Linear Systems ◽  
Time Varying ◽  
Perturbed Linear Systems

scholarly journals Asymptotic Orders of Reachability in Perturbed Linear Systems

1987 ◽  
Author(s):  
Cuneyt M. Ozveren ◽  
George C. Verghese ◽  
Alan S. Willsky
Keyword(s):  
Linear Systems ◽  
Perturbed Linear Systems

scholarly journals Computer methods for stability analysis of the Roesser type model of 2D continuous-discrete linear systems

2012 ◽  
Vol 22 (2) ◽  
pp. 401-408 ◽  
Author(s):  
Mikołaj Busłowicz ◽  
Andrzej Ruszewski
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Linear Systems ◽  
Type Model ◽  
Stability Tests ◽  
Numerical Examples ◽  
Computer Methods ◽  
Discrete Linear Systems ◽  
Complex Functions ◽  
The Stability

Computer methods for stability analysis of the Roesser type model of 2D continuous-discrete linear systemsAsymptotic stability of models of 2D continuous-discrete linear systems is considered. Computer methods for investigation of the asymptotic stability of the Roesser type model are given. The methods require computation of eigenvalue-loci of complex matrices or evaluation of complex functions. The effectiveness of the stability tests is demonstrated on numerical examples.

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