Results 211 to 220 of about 2,446 (245)
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Hyperstable arousal regulation in multiple sclerosis
Psychoneuroendocrinology, 2019Fatigue is common in multiple sclerosis (MS) patients. Exhaustion of physiological reserves and mental stress are postulated causes, the latter supported by more pronounced hypothalamic-pituitary-adrenal (HPA) axis activation in fatigued patients. Divergent dysregulation of arousal appears to play important roles in depression- (hyperstable arousal ...
Klara Meyer +5 more
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Rigidity of hyperstable complexes
Archiv der Mathematik, 2008A module J over a ring \(\bigwedge\) is said to be hyperstable when \(J \cong J \oplus {\bigwedge}^{\infty}\). Over a module M for which Ext\(^{n+1}(M, \bigwedge) = 0\) we show that the projective n-stems \({\mathcal{P}}\) for which \(\pi_n({\mathcal{P}})\) is hyperstable constitute a single homotopy type.
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On hyperstability of the biadditive functional equation
Acta Mathematica Scientia, 2017Abstract We present results on approximate solutions to the biadditive equation f ( x + y , z - w ) + f ( x - y , z + w ) = 2 f ( x , z ) - 2 f ( y , w ) on a restricted domain. The proof is based on a quite recent fixed point theorem in some function spaces.
Janusz Brzdęk +3 more
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On the hyperstability of a class of hybrid systems
International Journal of Systems Science, 1997Abstract Sufficient conditions of the hyperstability of a class of single-input single-output hybrid systems, composed of interconnected continuous and discrete subsystems, are given. Hyperstability is guaranteed by that of a discrete extended system which is built by incorporating samples of the continuous substrate.
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The hyperstability approach to VSCS design
1990A systematic approach to the design of VSC systems has been given. Using the hyperstability theory, the stability of the global system has been established and the existence of the sliding modes. Simple control laws can be used and high speed of response is obtainable by forcing the system with maximum allowable signals, e.g.
Mario Innocenti, Aldo Balestrino
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Hyperstability in variable structure systems
1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes, 1980Reaching and existence conditions for variable structure systems are considered using hyperstability theory. A new sufficient condition for linear, time invariant systems is derived, and an example is given to illustrate how the condition is more relaxed than the sufficient condition presently used for such systems.
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A HYPERSTABILITY RESULT FOR THE CAUCHY EQUATION
Bulletin of the Australian Mathematical Society, 2013AbstractWe prove a hyperstability result for the Cauchy functional equation$f(x+ y)= f(x)+ f(y)$, which complements some earlier stability outcomes of J. M. Rassias. As a consequence, we obtain the slightly surprising corollary that for every function$f$, mapping a normed space${E}_{1} $into a normed space${E}_{2} $, and for all real numbers$r, s$with ...
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ASYMPTOTIC HYPERSTABILITY OF A CLASS OF NEURAL NETWORKS
International Journal of Neural Systems, 1999This paper is concerned with the asymptotic hyperstability of recurrent neural networks. We derive based on the stability results necessary and sufficient conditions for the network parameters. The results we achieve are more general than those based on Lyapunov methods, since they provide milder constraints on the connection weights than the ...
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Polynomials of Arithmetically Homogeneous Functions: Stability and Hyperstability
Results in Mathematics, 2019We give large classes of control functions that provide generalized stability, respectively hyperstability for difference equations that characterize polynomials of arithmetically homogeneous functions. We also give a new technique to study the generalized stability and hyperstability of Frechet’s equation, technique that allows us to expand and refine
Dan M. Dăianu, Cristina Mîndruţă
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Sufficient conditions for hyperstability of a class of nonlinear systems [PDF]
IEEE Transactions on Automatic Control, 1970 The concept of hyperstability is applied to obtain a new stability criterion for a class of nonlinear systems. The physical system considered is the chemical reactor which gives rise to a very interesting aspect of stability study.
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