Systematic State Equation Derivation for Linear Systems Using the Normal Tree Method

2003 ◽  
Author(s):  
Kerem Altun ◽  
Bu¨lent E. Platin ◽  
Tuna Balkan
Keyword(s):  
Linear System ◽  
State Equation ◽  
The State ◽  
State Equations ◽  
Systematic Method ◽  
State Variable ◽  
Linear Graph ◽  
System Graph ◽  
Tree Method

A systematic method to derive the state equations of a linear system starting from its linear graph is proposed. The normal tree is used in the analysis, which is a method to determine the dependencies between energy storage elements in the system. An algorithm to list all normal trees of a system graph is developed, which enables the determination of energy-based state variable sets and corresponding state equations. A computer program is developed to realize these algorithms, which derives the state equations of a system, given its linear graph.

DC Circuit Model of TiO2-based Memristors

2015 ◽  
Vol 24 (03n04) ◽  
pp. 1550004
Author(s):  
Anas Mazady ◽  
Mehdi Anwar
Keyword(s):  
Circuit Model ◽  
The State ◽  
Device Physics ◽  
Time Varying ◽  
State Equations ◽  
Material Combination ◽  
Switching Mechanism ◽  
State Variable ◽  
Varying Length

DC circuit model of TiO2 memristors is developed based on the reported I-V data. The method described can easily be implemented to realize memristor based circuitries that serve different application platforms fabricated using any material combination. The time varying length of conductive filaments inside memristor, responsible for the observed switching mechanism, is implemented as the state variable and the state equations are modified accordingly. Once the device physics is taken into account the circuit model can be further adapted to predict the behavior of memristor with altered dimensions.

scholarly journals A class of shape optimization problems for some nonlocal operators

2018 ◽  
Vol 11 (4) ◽  
pp. 373-386 ◽  
Author(s):  
Julián Fernández Bonder ◽  
Antonella Ritorto ◽  
Ariel Martin Salort
Keyword(s):  
Shape Optimization ◽  
Optimization Problem ◽  
Optimization Problems ◽  
State Equation ◽  
The State ◽  
Local State ◽  
Nonlocal Operator ◽  
State Equations ◽  
Nonlocal Operators ◽  
Shape Optimization Problem

AbstractIn this work we study a family of shape optimization problem where the state equation is given in terms of a nonlocal operator. Examples of the problems considered are monotone combinations of fractional eigenvalues. Moreover, we also analyze the transition from nonlocal to local state equations.

TIME DOMAIN DIAKOPTIC ANALYSIS BASED ON REDUCED-ORDER STATE EQUATIONS

2007 ◽  
Vol 17 (10) ◽  
pp. 3625-3631 ◽  
Author(s):  
MIHAI IORDACHE ◽  
LUCIA DUMITRIU
Keyword(s):  
Analog Circuits ◽  
Large Scale ◽  
State Equation ◽  
The State ◽  
State Variables ◽  
State Equations ◽  
Integration Algorithm ◽  
Reduced Order ◽  
Decomposition Procedure ◽  
Minimum Number

In this paper we present some new tearing techniques to systematically formulate the state equations in symbolic normal-form for linear and/or nonlinear time-invariant large-scale analog circuits. The excess elements of the first and of the second kind are unitarily treated in order to allow a symbolic representation of the circuit with a minimum number of state variables. A procedure to reduce the state equation number of each subcircuit is also presented. The reduced-order is based on an implicit integration algorithm and on the successive elimination of the selected state variables. Examples are given to illustrate the decomposition procedure, the assignment of the connection sources and the reduced-order technique.

scholarly journals Bouncing Universe with Exotic Radiation

2020 ◽  
pp. 2050001 ◽  
Author(s):  
C. Swastik ◽  
P. K. Suresh ◽  
Barun Maity
Keyword(s):  
Necessary Conditions ◽  
State Equation ◽  
The State ◽  
Universe Model ◽  
State Equations ◽  
Singularity Problem ◽  
Bouncing Universe ◽  
Proper Estimation ◽  
The Universe

Scenario bouncing can give the cosmology singularity problem a possible way out. Finding a solution for the universe’s bouncing model requires proper estimation of the state equation. We present two such state equations that give us the solution for a bounce. One such case is the exotic radiation, where we assumed that exotic radiation dominated the universe during the bounce occurrence. We also considered another case where quintom matter scenario existed previously, and the newly proposed exotic radiation scenario coexisted. In these two cases, we have shown that all the necessary conditions for the bounce are fulfilled. Such new ways certainly increase support and flexibility for the bouncing universe model.

scholarly journals Descriptor fractional discrete-time linear system with two different fractional orders and its solution

2016 ◽  
Vol 64 (1) ◽  
pp. 15-20 ◽  
Author(s):  
Ł. Sajewski
Keyword(s):  
Linear System ◽  
Linear Systems ◽  
Discrete Time ◽  
Decomposition Theorem ◽  
State Equation ◽  
The State ◽  
Extension Method ◽  
Numerical Example ◽  
Fractional Orders ◽  
Time Linear

Abstract Factional Discrete-time linear systems with fractional different orders are addressed. The Weierstrass-Kronecker decomposition theorem of the regular pencil is extended to the descriptor fractional discrete-time linear system with different fractional orders. Using the extension, method for finding the solution of the state equation is derived. Effectiveness of the method is demonstrated on a numerical example.

A Study on Servo System of Radar Tracking Fast Targets

2012 ◽  
Vol 591-593 ◽  
pp. 1724-1729
Author(s):  
Xi Ping Zhang ◽  
Min Guo ◽  
Lu Lei
Keyword(s):  
Control Method ◽  
Servo System ◽  
State Equation ◽  
The State ◽  
State Equations ◽  
Direct Function ◽  
Air Defense ◽  
Modern Warfare ◽  
New Generation ◽  
Bang Bang Control

Reviewed the study of control method about radar servo in recent years, The most important thing is the non-linear improvement of the classical PID , including PID and fuzzy control combined; direct function method to construct NPID control; otherwise a weather radar servo system using the Bang-Bang control. On the basis of modern control theory, the new control strategy used in radar servo system is introduced to replay the new threat air defense in modern warfare; Establishing the state equations of the system and building state observer is to achieve the state feedback ; Utilizing the principle of optimality, fast and accurate indicators of the system converted to solve the optimized u in the state equation is to meet a new generation of high-quality performance of radar servo system.

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