Variational characterization of the uniqueness of the optimal state for the minimal-time problem

1980 ◽  
Vol 30 (4) ◽  
pp. 635-642 ◽  
Author(s):  
G. Pieri
Keyword(s):  
Variational Characterization ◽  
Optimal State ◽  
Minimal Time ◽  
Time Problem ◽  
Minimal Time Problem

scholarly journals Optimality conditions for the minimal time problem for Complementarity Systems

2019 ◽  
Vol 52 (16) ◽  
pp. 239-244
Author(s):  
A. Vieira ◽  
B. Brogliato ◽  
C. Prieur
Keyword(s):  
Optimality Conditions ◽  
Minimal Time ◽  
Time Problem ◽  
Minimal Time Problem

Variational characterization of real eigenvalues in linear viscoelastic oscillators

2017 ◽  
Vol 23 (10) ◽  
pp. 1377-1388 ◽  
Author(s):  
Seyyed Abbas Mohammadi ◽  
Heinrich Voss
Keyword(s):  
Degrees Of Freedom ◽  
Nonlinear Eigenvalue Problem ◽  
Eigenvalues And Eigenvectors ◽  
Variational Characterization ◽  
Viscoelastic System ◽  
New Approach ◽  
Motion Equations ◽  
Multiple Degrees Of Freedom ◽  
Linear Viscoelastic

This paper proposes a new approach for computing the real eigenvalues of a multiple-degrees-of-freedom viscoelastic system in which we assume an exponentially decaying damping. The free-motion equations lead to a nonlinear eigenvalue problem. If the system matrices are symmetric, the eigenvalues allow for a variational characterization of maxmin type, and the eigenvalues and eigenvectors can be determined very efficiently by the safeguarded iteration, which converges quadratically and, for extreme eigenvalues, monotonically. Numerical methods demonstrate the performance and the reliability of the approach. The method succeeds where some current approaches, with restrictive physical assumptions, fail.

Sign in / Sign up

Export Citation Format

Share Document