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Mult&T

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from Mult&T by Franklin Pineda
Find realizations of multivariable systems. Created for Msc. students at the UANDES and UAC.

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 Multivariable Toolbox
 Version 1.0 (R2007a) 15-Jun-2008


 No Minimal Realizations
   gilbertform   - Finds the Gilbert form of a LTI MIMO SYS model.
   hoform        - Finds the Ho canonical form of a LTI MIMO SYS model. 
   jordanform    - Finds the Jordan form of a LTI MIMO SYS model.
   exjordanform  - Finds the extended Jordan form of a LTI MIMO SYS model.
   wolovichform  - Realization by method Wolovich of a LTI MIMO SYS model.
   rmpf2ss       - Find the realization by method fraction coprime of  a MPF.
   lmpf2ss       - Finds the  realization by method fraction coprime of a LTI
   dssdata       -Extract descriptor state-space data*.
   ssdata        -Access state-space model data*.
   canon         -State-space canonical realization*. 


 Minimal Realization.
   minhoform     - Finds the Minimal realization by method Ho.
   minjordanform - Finds the Minimal realization by method irreducible Jordan.
   gauthierform  - Gauthier minimal algoritm of a MPF model.
   rcfform       - Finds the minimal realization by method right fraction coprime.
   lcfform       - Finds the minimal realization by method fraction left coprime.
   silvermanform - Finds the minimal realization by method Silverman.
   minreal       -Minimal realization*.


 Conversions
   ss2mtf        - Convert state-space filter parameters to Matrix Transfer Function.
   ss2lmpf       - State-space to Left Matrix Polynomial Fraction.
   ss2rmpf       - State-space to Right Matrix Polynomial Fraction. 
   mtf2lmpf      - Matrix Transfer Function to Left Matrix Fraction Description.
   mtf2rmpf      - Matrix Transfer Function to Right Matrix Polynomial Fraction.
   mtf2lcf       - Matrix Transfer Function to Left Coprime Fraction. 
   mtf2rcf       - Matrix Transfer Function to Right Coprime Fraction. 
   rcf2mtf       - Right Coprime Fraction to Matrix Transfer Function.
   lcf2mtf       - Left Coprime Fraction to Matrix Transfer Function.


 MPF Characteristics 
   findv         - Find the blocks in matrix Jordan or the indices of MPF.
   iscolred      - Determine if the MPF  is column reduced.
   isrowred      - Determine is the MPF is row reduced.
   mSilvester    - Find the Matrix Silvester.
   lmpf          - 23 Examples in Left MPF Format cell.
   mpfred        - Finds the minimal reduction of MPF.
   islmpfc       - Determine if the left MPF  is controlable.
   isrmpfo       - Determine if the Right MPF  is observable.
   uplowM        - Find the matrices with the hight and low coeficients.


 MTF Characteristics 
   mtfsp         - Strictly Proper Matrix Transfer Function. 
   mindeg        - Degree minimal of LTI MIMO SYS model.
   mresidue      - Partial fraction expansion of Matrix Transfer Function.
   mtf           - 71 MTF Examples. 
   rga           - Finds the RGA (relative gain array) of an LTI MIMO SYS model**.
   polezero      - Pole and zeros of LTI MIMO SYS model.
   smform        - Finds the Smith-McMillan form of a LTI MIMO SYS model**.


 State Space Characteristics
   coXm          - Check the observability and controlability for mode. 
   polindex      - Finds the index of Polynomial characteristic and the minimal. 
   state         - state 45 examples in space-state. 
   ss            -Specify state-space models or convert LTI model to state space*.
   jordan        -Jordan canonical form*.
   gram          -Controllability and observability grammians*.


 Similarity Transformation
   canonform     - Find a observability and controlability canonical form.
   cx2rJ         - Complex to real Jordan format. 
   ss2ss         -State coordinate transformation for ss model*. 
   ssbal         -Balance ss model using diagonal similarity transformation*.


 Operations with cells and symbolic matrices.
   cell2sym      - Cell format to sym format in operator differential. 
   cellround     - Round to nearest integer in each cell. 
   normcell      - Normalize cell. 
   ss2sym        - State Space to Symbolic Transfer Function conversion**.
   sym2cell      - Sym matrix polynomial format to cell format. 
   sym2tf        - Symbolic Transfer Function to Numerical Transfer Function**.
   tf2sym        - Numerical Transfer Function to Symbolic Transfer Function**.
   det           -Symbolic matrix determinant*.
   inv           -Symbolic matrix inverse*.


 Model Order Reduction
  balancmr       -Balanced model truncation via square root method*. 
  ncfmr          -Balanced normalized coprime factor model reduction*.
  schurmr        -Balanced truncation via Schur method*.
  hankelmr       -Hankel minimum degree approximation without  balancing*.


Graphics User Interface
 multitool       - MULTI Design Tool

 * Matlab Functions
 ** Oskar Vivero oskar.vivero@gmail.com
 Generated from Contents.m_template revision 1.2  $Date: 2009/02/08 20:45:23$

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