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On nonsingularity of a polytope of matrices
(Elsevier Science Inc, 2008)
The nonsingularity problem of a polytope of real matrices and its relation to the (robust) stability problem is considered. This problem is investigated by using the Bernstein expansion of the determinant function. Here ...
Diagonal Stability of Uncertain Interval Systems
(IEEE, 2015)
In this paper we consider the problem of diagonal stability of interval systems. We investigate the existence and evaluation of a common diagonal solution to the Lyapunov and Stein matrix inequalities for third order ...
Discrete Time Stability Margins From Stein's Equation
(IEEE, 2015)
This paper deals with the robust stability of a discrete time stable state space system subject to structured real parameter uncertainty. Using Lyapunov's Theorem and Stein's equation the radius of a stability hypersphere ...
A Novel Generalized Kudryashov Method for Exact Solutions of Nonlinear Evolution Equations
(Amer Inst Physics, 2017)
Nonlinear evolution equation (NLEE) systems model the most essential topics in nonlinear sciences. Exact solutions of these equations play a major role in the suitable understanding of mechanisms of the various physical ...
Degenerate Spin Groups as Semi-Direct Products
(Birkhauser Verlag Ag, 2010)
Let Q be a symmetric bilinear form on R(n)=R(p+q+r) with corank r, rank p+q and signature type (p, q), p resp. q denoting positive resp. negative dimensions. We consider the degenerate spin group Spin(Q) = Spin(p, q, r) ...
The relationship between learning styles and achievement in calculus course for engineering students
(Elsevier Science BV, 2012)
The researches that have been done recently indicated that individuals' ability to learn and interact might increase when the proper conditions are met that suitable for every single individual in terms of pace of comprehension ...
Numerical Solutions of the General Rosenau-RLW Equation Using Meshless Kernel Based Method of Lines
(IOP Publishing LTD, 2016)
In this paper, the General Rosenau-RLW equation is solved by using meshless kernel based method of lines. To test the accuracy of the method some numerical experiments are presented. Obtained numerical results are compared ...
Determining the Critical Point of a Sigmoidal Curve via its Fourier Transform
(IOP Publishing LTD, 2016)
A sigmoidal curve y(t) is a monotone increasing curve such that all derivatives vanish at infinity. Let t(n) be the point where the nth derivative of y(t) reaches its global extremum. In the previous work on sol-gel ...
On the Set of Trajectories of the Control Systems with Limited Control Resources
(Springer-Verlag Berlin, 2015)
The set of trajectories of the control system with limited control resources is studied. It is assumed that the behavior of the system is described by a Volterra type integral equation which is nonlinear with respect to ...
Goldie-Supplemented Modules
(Cambridge University Press, 2010)
Motivated by a relation on submodules of a module used by both A. W. Goldie and P. F. Smith, we say submodules X, Y of M are beta* equivalent, X beta* Y, if and only if X + Y/X is small in M/X and X + Y/Y is small in M/Y. ...