Results 21 to 30 of about 79 (78)
On a criterion of Yakubovich type for the absolute stability of nonautonomous control processes
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 16, Page 1027-1041, 2003., 2003 We generalize a criterion of Yakubovich for the absolute stability of control processes with periodic coefficients to the case when the coefficients are bounded and uniformly continuous functions.
R. Fabbri, S. T. Impram, R. Johnson
wiley +1 more source
Matrix measure and application to stability of matrices and interval dynamical systems
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 2, Page 75-85, 2003., 2003 Using some properties of the matrix measure, we obtain a general condition for the stability of a convex hull of matrices that will be applied to study the stability of interval dynamical systems. Some classical results from stability theory are reproduced and extended.
Ziad Zahreddine
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Dynamics of a class of uncertain nonlinear systems under flow‐invariance constraints
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 5, Page 263-294, 2003., 2003 For a class of uncertain nonlinear systems (UNSs), the flow-invariance of a time‐dependent rectangular set (TDRS) defines individual constraints for each component of the state‐space trajectories. It is shown that the existence of the flow‐invariance property is equivalent to the existence of positive solutions for some differential inequalities with ...
Octavian Pastravanu, Mihail Voicu
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General decay in a Timoshenko-type system with thermoelasticity with second sound
Advances in Nonlinear Analysis, 2015 In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory.
Ayadi Mohamed Ali +3 more
doaj +1 more source
[Retracted] On the interlacing property and the Routh‐Hurwitz criterion
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 12, Page 727-737, 2003., 2003 Unlike the Nyquist criterion, root locus, and many other stability criteria, the well‐known Routh‐Hurwitz criterion is usually introduced as a mechanical algorithm and no attempt is made whatsoever to explain why or how such an algorithm works. It is widely believed that simple derivations of this important criterion are highly requested by the ...
Ziad Zahreddine
wiley +1 more source
On the Lyapunov equation in Banach spaces and applications to control problems
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 3, Page 155-166, 2002., 2002 By extending the Lyapunov equation A*Q + QA = −P to an arbitrary infinite‐dimensional Banach space, we give stability conditions for a class of linear differential systems. Relationship between stabilizability and exact null‐controllability is established.
Vu Ngoc Phat, Tran Tin Kiet
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On the stabilization of a thermoelastic laminated beam system with microtemperature effects [PDF]
The present article investigates a one-dimensional thermoelastic laminated beam with microtemperature effects. Using the energy method, we prove in the case of zero thermal conductivity that the unique dissipation due to the microtemperatures is strong ...
FOUZIA, Foughali, DJELLALI, Fayssal
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Study of exponential stability of coupled wave systems via distributed stabilizer
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 8, Page 479-491, 2001., 2001 Stabilization of the system of wave equations coupled in parallel with coupling distributed springs and viscous dampers are under investigation due to different boundary conditions and wave propagation speeds. Numerical computations are attempted to confirm the theoretical results.
Mahmoud Najafi
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General Decay Rates of the Solution Energy in a Viscoelastic Wave Equation With Boundary Feedback and a Nonlinear Source [PDF]
In a bounded domain, we consider a viscoelastic equation with a nonlinear feedback localized on a part of the boundary and certain initial data. We establish an explicit and general decay rate result, using some properties of the convex functions.
BENABDERRAHMANE, Benyattou +2 more
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New approach to asymptotic stability: time‐varying nonlinear systems
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 347-366, 1997., 1995 The results of the paper concern a broad family of time‐varying nonlinear systems with differentiable motions. The solutions are established in a form of the necessary and sufficient conditions for: 1) uniform asymptotic stability of the zero state, 2) for an exact single construction of a system Lyapunov function and 3) for an accurate single ...
L. T. Grujić
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