% README file for the Descriptor System and Rational Matrix Toolbox.
% Version 1.04c   15-March-2004
%
% UPDATED M-FUNCTIONS
%   GSTAB, SRSOL, SNULL, SLRINV, SMCOVER2  
% ----------------------------------------------------------------------
% Version 1.04b   27-October-2003
%
% NEW M-FUNCTIONS
%   DSGHESS - Reduction to generalized Hessenberg coordinate forms
%   GBTA    - Generalized balanced truncation approximation
%
% ENHANCED MEX-FUNCTIONS
%   GSYSTR   - new option for reduction to (generalized) Hessenberg-form  
% ----------------------------------------------------------------------
% Version 1.04a   28-August-2003
%
% ENHANCED M-FUNCTIONS
%   SDEC, GSTAB, SNULL, TM2DSS    
% ----------------------------------------------------------------------
% Version 1.04   14-May-2003
%
% NEW AND ENHANCED M-FUNCTIONS
%   SRANK    - normal rank of transfer-function matrices
%   SRSOL    - solution of linear rational equations
%   SLRINV   - least order right/left inverses
%   SPINV    - extended functionally to compute 1-2-3 and 1-2-4 inverses
%   SQRFAC   - QR-factorization of rational matrices   
%   SMCOVER2 - minimum dynamic cover based order reduction of proper systems
%
% UPDATED M-FUNCTIONS 
%   DSMINREAL
%
% ENHANCED MEX-FUNCTIONS
%   GSYSTR   - new option for special controllability form reduction
%              (descriptor systems)
% ----------------------------------------------------------------------
% Version 1.03a   14-March-2003
%
% UPDATED M-FUNCTIONS 
%   DSGRSF, SDEC, SNULL, SINV, SNRCF
%
% ENHANCED MEX-FUNCTIONS
%   GSYSTR   - added an option for special controllability form reduction 
%              (standard systems)
% ----------------------------------------------------------------------
% Version 1.03   08-November-2002
%
% NEW AND ENHANCED M-FUNCTIONS
%   DSGRSF   - reduction to generalized Schur coordinate forms with
%              several spectral separations
%   SDEC     - extended functionality to compute stable-unstable 
%              additive spectral decompositions
%   DSS2TM, 
%   DSS2ZPK  - enhanced with scaling for standard systems
%
% ENHANCED AND MODIFIED MEX-FUNCTIONS
%   GSSEP    - extended functionality to compute stable-unstable-infinite 
%              spectral separations
%   GSYSTR   - bug corrected 
% ----------------------------------------------------------------------
% Version 1.02   09-September-2002
%
% NEW M-FUNCTION
%   SNULL     - Nullspace basis of a transfer function matrix, including
%               minimal polynomial basis
% ----------------------------------------------------------------------
% README file for the Descriptor System and Rational Matrix Toolbox.
% Version 1.01   04-April-2002
%
% NEW M-FUNCTION
%   SDEC      - Additive spectral decomposition to compute finite-infinite
%               additive spectral decomposition
%
% NEW MEX-FUNCTION
%   GSSEP     - Descriptor system spectral separation.      
% ----------------------------------------------------------------------
% README file for the Descriptor System and Rational Matrix Toolbox.
% Version 1.0   02-April-2002
%
% NEW M-FUNCTIONS
%   DSQR/DSRQ - Transformation to QR or RQ coordinate forms.
%   DSSVD     - Transformation to SVD coordinate forms.
%   DSCTRBF   - Transformation to controllability forms.
%   DSOBSVF   - Transformation to observability forms.
%   DSBAL     - Scaling of descriptor systems. 
%   DSS2DSS   - Descriptor system similarity transformation.
%   GSYLV     - Solution of generalized Sylvester equation.
%
% ENHANCEMENTS
%   1) New version of GSYSTR mex-function using distinct algorithms
%      for standard and descriptor systems 
%   2) New version of GLINMEQ mex-function using distinct solvers
%      for standard and generalized matrix equations      
% ----------------------------------------------------------------------
% README file for Descriptor System and Rational Matrix Toolbox.
% Version 0.6   04-August-1999
%
% NEW M-FUNCTIONS
%   GPLACE    - Generalized system eigenvalue assignment.
%   GSTAB     - Generalized system stabilization.
%   GLYAP     - Solution of generalized continuous Lyapunov equations.
%   GDLYAP    - Solution of generalized discrete Lyapunov equations.
%   GPLYAP    - Solution of generalized positive definite
%               continuous Lyapunov equations.
%   GPDLYAP   - Solution of generalized positive definite 
%               discrete Lyapunov equations.
%   GSYLVS    - Solution of generalized Sylvester systems.
%
% NEW MEX-FUNCTIONS
%   GLINMEQ     - Generalized linear matrix equations.
% ----------------------------------------------------------------------
% README file for Descriptor System and Rational Matrix Toolbox.
% Version 0.5   30-June-1999
%
% NEW M-FUNCTIONS
%   DSS2ZPK   - Conversion to zero/pole/gain form of a descriptor system.
%   SNRCF     - Normalized right coprime factorization of descriptor systems.
%   SNLCF     - Normalized left coprime factorization of descriptor systems.
%   SIOFAC    - Inner-outer factorization of  rational matrices. 
%   SPINV     - Pseudo-inverse of rational matrices based on inner-outer
%               factorization technique.
%
% ENHANCEMENTS
%
%   1) More accurate minimal realization function DSMINREAL.
%   2) New mex-functions based on SLICOT routines based on more robust rank 
%      determinations using rank revealing decompositions combined with
%      incremental rank estimations.
%   3) Functions for LTI-systems handle all system times SS, TF, and ZPK.
%      Standard state-space systems are handled using specific algorithms. 
% ----------------------------------------------------------------------
% README file for Descriptor System and Rational Matrix Toolbox.
% Version 0.3  15-May-1999
% 
% M-FUNCTIONS
%   DSS2TM      - Conversion from descriptor system to transfer function 
%                 matrix representation.
%   TM2DSS      - Conversion from a rational transfer function matrix to
%                 a descriptor system representations.
%   SCONJ       - Generalized system conjugation.
%   SINV        - Generalized system inversion.
%   SEIG        - Generalized eigenvalues of a LTI system.
%   SPOLE       - Poles of a descriptor systems or rational matrix.
%   SZERO       - Zeros of a descriptor systems or rational matrix.
%   KRONSCF     - Kronecker-like staircase form of a pencil.
%   DSMINREAL   - Minimal realization of descriptor systems.
%   DSS2SS      - Descriptor to standard form conversion.
%
% MEX-FUNCTIONS
%   GSYSTR      - Generalized system similarity transformations.
%   GSMINR      - Generalized system minimal realization.
%   GSZERO      - Generalized system zeros and Kronecker structure.
%   QZORD       - QZ-algorithm and stable/unstable ordering of
%                 generalized eigenvalues.
%   KSTAIR      - Staircase reduction of a pencil.
%   SYSPLACE    - Partial pole placement using the Schur method.
%
% Use HELP on these files or TYPE them for more information.

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