scholarly journals A basic optimization problem in linear systems

1971 ◽  
Vol 5 (1) ◽  
pp. 20-44 ◽  
Author(s):  
William A. Porter
Keyword(s):  
Linear Systems ◽  
Optimization Problem ◽  
Basic Optimization

scholarly journals On the solution of fuzzy dual linear systems of equation

2015 ◽  
Vol 4 (2) ◽  
pp. 325
Author(s):  
S. M. Khorasani Kiasari ◽  
L. Abdollahzadeh Ramhormozi
Keyword(s):  
Objective Function ◽  
Linear Systems ◽  
Optimization Problem ◽  
Existence Of Solution ◽  
Systems Of Equations ◽  
Numerical Examples ◽  
Fuzzy Solution ◽  
Fuzzy Linear Systems ◽  
Linear Systems Of Equations

<p>In this paper the exact, multiple and approximation solutions of Dual fuzzy linear systems of equations(DFLSE) with triangular variable are investigated based on a 1-level expansion. To this end, 1-level of DFLSE are solved for calculating the cores of fuzzy solution and then its spreads are obtained by solving an optimization problem with a special objective function. Finally, the existence of solution of DFLSE is proved in details and some numerical examples are solved to illustrate the accuracy and capability of the method</p>

scholarly journals Stabilization of Switched Time-Delay Linear Systems through a State-Dependent Switching Strategy

Actuators ◽  
2021 ◽  
Vol 10 (10) ◽  
pp. 261
Author(s):  
Tan Hou ◽  
Yuanlong Li ◽  
Zongli Lin
Keyword(s):  
Time Delay ◽  
Linear Systems ◽  
Switched Systems ◽  
Optimization Problem ◽  
Small State ◽  
Restrictive Assumption ◽  
Delay Bound ◽  
Switching Strategy ◽  
State Delays ◽  
State Dependent

This paper considers the problem of stabilizing switched time-delay linear systems through a state-dependent switching strategy. In contrast to the existing works, we adopt a less restrictive assumption of the system, and show that this assumption is sufficient to guarantee asymptotic stability of the considered system under the min-projection switching strategy. Our results also imply that the min-projection switching strategy, originally designed for delay-free switched systems, is robust with respect to small state delays. An optimization problem is formulated to estimate the upper bound of the tolerable time delay. Numerical examples are presented to show that our method is applicable to a larger class of switched systems and leads to a greater delay bound.

Identification of Damping Coefficients in Multidimensional Linear Systems

1974 ◽  
Vol 41 (2) ◽  
pp. 379-382 ◽  
Author(s):  
P. Caravani ◽  
W. T. Thomson
Keyword(s):  
Inverse Problem ◽  
Frequency Response ◽  
Linear Systems ◽  
Optimization Problem ◽  
Viscous Damping ◽  
Numerical Examples ◽  
Response Data ◽  
Damping Coefficients ◽  
Multidimensional Linear

The inverse problem of determining damping from frequency response is formulated as an optimization problem. Response data are sequentially processed by an algorithm which refines the estimate of damping at each frequency point. The method is illustrated by numerical examples involving viscous damping. Other forms of damping can be considered without altering the procedure discussed here.

Well-Posed Linear Systems

2005 ◽  
Author(s):  
Olof Staffans
Keyword(s):  
Linear Systems ◽  
Well Posed

Principles of Linear Systems

1997 ◽  
Author(s):  
Philip E. Sarachik
Keyword(s):  
Linear Systems
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