are given, u1 and u11 are defined according to the partition of A, i.e. u1 = (wU), • • -, um)', ulL = (w<!+1), • • -, uM)', and *S is a given constant rectangular matrix. It is well known that the above problem is correctly posed in L2 (see for example Thomée [4]). The present treatment of the case when A is a constant matrix can be extended, as in [1], to the case when A depends on (x, t) in a...

To make a discovery is to achieve one of the closest approximations to a property right that the scientific career affords. Professional prestige is often closely associated with these acquisitions. Small wonder, then, that acrimonious disputes about priority and independence in discovery have often marred the normally placid tenor of scientific communication. Even less wonder that many histori...

I will use David Marker’s book [Mar] as the basic reference for the talks, partly because it’s likely to be the easiest one to find. Other presentations are available: the books by Hodges [Hod], Poizat [PoE] are also excellent (and Poizat in French [PoF] is even better). The classic text on model theory is by Chang and Keisler [ChK]. To go deeper into geometric stability theory you should look ...

The theoretical fundamentals of software stability were elaborated on the basis of software dynamic theory. The concepts of internal and external equilibrium have been introduced and the condition of reliability has been proved. The law of defect flow equilibrium has been formulated. The existence of unknown before mutual dependences among the defect flows in software has been revealed.

The problem of proving generalization bounds for the performance of learning algorithms can be formulated as a problem of bounding the bias and variance of estimators of the expected error. We show how various stability assumptions can be employed for this purpose. We provide a necessary and sufficient stability condition for bounding the bias and variance for the Empirical Risk Minimization al...

27 Accordingly it can be seen that the crucial terms are the oo-diagonal entries in the Hamiltonian (9.6), or equivalently the terms in the linearized Lagrangian dynamics (9.5) involving the velocities _ u with skew-symmetric coeecients. Since the time of Kelvin such terms have been called gyroscopic, because they are often associated with eeects of rotation, and, in particular, the stability o...

In this paper, global robust stability of stochastic impulsive recurrent neural networks with time-varyingdelays which are represented by the Takagi-Sugeno (T-S) fuzzy models is considered. A novel Linear Matrix Inequality (LMI)-based stability criterion is obtained by using Lyapunov functional theory to guarantee the asymptotic stability of uncertain fuzzy stochastic impulsive recurrent neural...

in the present paper, the aeroelastic stability of helicopter rotor blade is determined using aeroelastic frequency response function. the aeroelastic model of blade is obtained by combining dowell - hodges beam model with loewy unsteady aerodynamic theory which considers an unsteady wake beneath the rotor. equations are formed and aeroelastic frequency response functions are obtained by invert...