Oscillatory modes of weakly linear systems with n degrees of freedom and delay

1984 ◽  
Vol 36 (1) ◽  
pp. 106-109
Author(s):  
D. I. Martynyuk ◽  
V. I. Kravets
Keyword(s):  
Linear Systems ◽  
Degrees Of Freedom ◽  
Weakly Linear

Weakly linear systems for matrices over the max-plus quantale

2021 ◽  
Author(s):  
Aleksandar Stamenković ◽  
Miroslav Ćirić ◽  
Dragan Djurdjanović
Keyword(s):  
Linear Systems ◽  
Weakly Linear

Effects of Suspension Design on the Attitudes of a Car during Braking and Acceleration

1973 ◽  
Vol 187 (1) ◽  
pp. 787-794
Author(s):  
J. R. Ellis
Keyword(s):  
Steady State ◽  
Linear Systems ◽  
Degrees Of Freedom ◽  
Coupled Systems ◽  
Two Degrees Of Freedom ◽  
Simulation Techniques ◽  
Non Linear ◽  
Non Linear Systems ◽  
Effort Distribution

Two degrees of freedom models of a car are employed to demonstrate the effects of the suspension derivative ∂ x/∂ z on the pitch and bounce attitudes during braking or accelerating. The work equation is employed to show that brake effort distribution between the axles has a significant effect on the attitudes when anti-dive suspension characteristics are utilized. The steady-state positions in both pitch and bounce are developed for linear systems of typical suspensions that may be either standard or coupled systems. Non-linear systems are considered using simulation techniques. A description of some simulation circuits is contained in an appendix.

Decoupling in non-linear systems with two degrees of freedom

1975 ◽  
Vol 38 (1) ◽  
pp. 1-8
Author(s):  
H.R. Srirangarajan ◽  
B.V. Dasarathy
Keyword(s):  
Linear Systems ◽  
Degrees Of Freedom ◽  
Two Degrees Of Freedom ◽  
Non Linear ◽  
Non Linear Systems

Pole Placement for Single-Input Linear System by Proportional-Derivative State Feedback

2014 ◽  
Vol 137 (4) ◽  
Author(s):  
Taha H. S. Abdelaziz
Keyword(s):  
Linear System ◽  
Linear Systems ◽  
Degrees Of Freedom ◽  
State Feedback ◽  
Pole Placement ◽  
Feedback Gain ◽  
Time Varying ◽  
Placement Problem ◽  
Single Input ◽  
Time Invariant

This paper deals with the direct solution of the pole placement problem for single-input linear systems using proportional-derivative (PD) state feedback. This problem is always solvable for any controllable system. The explicit parametric expressions for the feedback gain controllers are derived which describe the available degrees of freedom offered by PD state feedback. These freedoms are utilized to obtain closed-loop systems with small gains. Its derivation is based on the transformation of linear system into control canonical form by a special coordinate transformation. The solving procedure results into a formula similar to Ackermann’s one. In the present work, both time-invariant and time-varying linear systems are treated. The effectiveness of the proposed method is demonstrated by the simulation examples of both time-invariant and time-varying systems.

Stabilization of weakly linear systems

1989 ◽  
Vol 53 (6) ◽  
pp. 703-707
Author(s):  
V.A. Kolosov
Keyword(s):  
Linear Systems ◽  
Weakly Linear

scholarly journals Some remarks on tile effect of dynamic absorber

1989 ◽  
Vol 11 (4) ◽  
pp. 10-13
Author(s):  
Nguyen Van Dao
Keyword(s):  
Linear Systems ◽  
Degrees Of Freedom ◽  
Harmonic Force ◽  
Two Degrees Of Freedom ◽  
Dynamic Absorber ◽  
Tile Effect

In order to limit the vibration of mass m2 (fig. 1) while the mass m1 is subject ted to a harmonic force Q0sinωt, the dynamic absorber can be used. In this case the  system considered is of more than two degrees of freedom. The article presented dealer with some linear systems of this kind with various methods of attaching the dynamic absorbers. It seams that advantageous absorbers are those given in figures 2 and 3. Whereas two absorbers acting simultaneously as shown in figs 4, 5, 6 do not give more effectiveness.

scholarly journals Weakly linear systems of fuzzy relation inequalities and their applications: A brief survey

Filomat ◽  
2012 ◽  
Vol 26 (2) ◽  
pp. 207-241 ◽  
Author(s):  
Jelena Ignjatovic ◽  
Miroslav Ciric
Keyword(s):  
Social Network ◽  
Network Analysis ◽  
Linear Systems ◽  
Fuzzy Relation ◽  
General Aspect ◽  
State Reduction ◽  
Fuzzy Relation Equations ◽  
The Social ◽  
Fuzzy Automata ◽  
Weakly Linear

Weakly linear systems of fuzzy relation inequalities and equations have recently emerged from research in the theory of fuzzy automata. From the general aspect of the theory of fuzzy relation equations and inequalities homogeneous and heterogeneousweakly linear systems have been discussed in two recent papers. Here we give a brief overview of the main results from these two papers, as well as from a series of papers on applications of weakly linear systems in the state reduction of fuzzy automata, the study of simulation, bisimulation and equivalence of fuzzy automata, and in the social network analysis. Especially, we present algorithms for computing the greatest solutions to weakly linear systems.

scholarly journals Solving linear systems over tropical semirings through normalization method and its applications

2020 ◽  
pp. 2150159
Author(s):  
Fateme Olia ◽  
Shaban Ghalandarzadeh ◽  
Amirhossein Amiraslani ◽  
Sedighe Jamshidvand
Keyword(s):  
Linear Systems ◽  
Degrees Of Freedom ◽  
Linear Equations ◽  
Normalization Method ◽  
System Of Linear Equations ◽  
Rank Of A Matrix

In this paper, we introduce and analyze a normalization method for solving a system of linear equations over tropical semirings. We use a normalization method to construct an associated normalized matrix, which gives a technique for solving the system. If solutions exist, the method can also determine the degrees of freedom of the system. Moreover, we present a procedure to determine the column rank and the row rank of a matrix. Flowcharts for this normalization method and its applications are included as well.

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