Numerical Method for Damping String Vibrations with Unknown Initial State in the Class of Weak Generalized Solutions

2018 ◽  
Vol 54 (11) ◽  
pp. 1425-1443
Author(s):  
A. A. Dryazhenkov ◽  
M. M. Potapov
Keyword(s):  
Numerical Method ◽  
Generalized Solutions ◽  
Initial State ◽  
String Vibrations ◽  
Unknown Initial State

Optimal Mode-Switching for Hybrid Systems with Unknown Initial State

2006 ◽  
pp. 95-100 ◽  
Author(s):  
Henrik Axelsson ◽  
Mauro Boccadoro ◽  
Yorai Wardi ◽  
Magnus Egerstedt
Keyword(s):  
Hybrid Systems ◽  
Mode Switching ◽  
Initial State ◽  
Optimal Mode ◽  
Unknown Initial State

OPTIMAL MODE-SWITCHING FOR HYBRID SYSTEMS WITH UNKNOWN INITIAL STATE

2006 ◽  
Vol 39 (5) ◽  
pp. 95-100
Author(s):  
Henrik Axelsson ◽  
Mauro Boccadoro ◽  
Yorai Wardi ◽  
Magnus Egerstedt
Keyword(s):  
Hybrid Systems ◽  
Mode Switching ◽  
Initial State ◽  
Optimal Mode ◽  
Unknown Initial State

On-Line Algorithms for Initial State Identification in Linear Systems

1982 ◽  
Vol 104 (1) ◽  
pp. 114-117 ◽  
Author(s):  
H. Sehitoglu
Keyword(s):  
Linear System ◽  
State Vector ◽  
Identification Problem ◽  
Initial State ◽  
State Identification ◽  
Equation Error ◽  
Identification Technique ◽  
Parameter Identification Problem ◽  
On Line ◽  
Unknown Initial State

This paper presents on-line algorithms to identify the unknown initial state of a linear system. It is shown that estimation of an initial state vector can be treated as a parameter identification problem. The algorithms are developed by using the equation error identification technique in connection with the Lyapunov design approach. An example problem is considered to illustrate the concepts discussed in the paper.

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