scholarly journals Linear adiabatic theory. Exponential estimates

1993 ◽  
Vol 152 (3) ◽  
pp. 479-496 ◽  
Author(s):  
G. Nenciu
Keyword(s):  
Exponential Estimates ◽  
Adiabatic Theory

A Note on Exponential Estimates in Adiabatic Theory

2005 ◽  
Vol 29 (1-2) ◽  
pp. 111-132 ◽  
Author(s):  
Shu Nakamura ◽  
Vania Sordoni
Keyword(s):  
Exponential Estimates ◽  
Adiabatic Theory

II. Non adiabatic theory of collisions in a radiative field. Semi-classical limit : Ar + O case

1989 ◽  
Vol 50 (10) ◽  
pp. 1195-1208 ◽  
Author(s):  
A. Spielfiedel ◽  
E. Roueff ◽  
N. Feautrier
Keyword(s):  
Classical Limit ◽  
Adiabatic Theory

Non adiabatic theory of collisions in a radiative field. Semi-classical limit

1988 ◽  
Vol 49 (11) ◽  
pp. 1911-1923 ◽  
Author(s):  
N. Feautrier ◽  
E. Roueff ◽  
A. Spielfiedel
Keyword(s):  
Classical Limit ◽  
Adiabatic Theory

Adiabatic Theory of the Electron-Phonon Interaction

1964 ◽  
Vol 135 (3A) ◽  
pp. A638-A639 ◽  
Author(s):  
T. R. Koehler ◽  
R. K. Nesbet
Keyword(s):  
Phonon Interaction ◽  
Electron Phonon Interaction ◽  
Adiabatic Theory

scholarly journals Exponential Estimates of a Class of Time–Delay Nonlinear Systems with Convex Representations

2015 ◽  
Vol 25 (4) ◽  
pp. 815-826 ◽  
Author(s):  
Máximo Ramírez ◽  
Raúl Villafuerte ◽  
Temoatzin González ◽  
Miguel Bernal
Keyword(s):  
Nonlinear Systems ◽  
Mimo System ◽  
Sufficient Conditions ◽  
Optimization Techniques ◽  
Linear Matrix ◽  
Exponential Estimates ◽  
Novel Approach ◽  
Guaranteed Cost ◽  
Stability And Stabilization ◽  
Twin Rotor Mimo System

Abstract This work introduces a novel approach to stability and stabilization of nonlinear systems with delayed multivariable inputs; it provides exponential estimates as well as a guaranteed cost of the system solutions. The result is based on an exact convex representation of the nonlinear system which allows a Lyapunov–Krasovskii functional to be applied in order to obtain sufficient conditions in the form of linear matrix inequalities. These are efficiently solved via convex optimization techniques. A real-time implementation of the developed approach on the twin rotor MIMO system is included.

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