% Descriptor System and Rational Matrix Manipulation Toolbox. % Version 1.04c 15-March-2004 % % What's new. % readme - New features and enhancements in this version. % readme_plan - Planned new features and enhancements. % % Conversions. % dss2zpk - Conversion to zero/pole/gain. % dss2tm - Conversion to transfer function matrix. % tm2dss - Conversion to state space of rational matrices. % dss2ss - Conversion to standard state space. % % Operations on rational matrices/LTI systems. % sconj - Conjugate transpose of an LTI system. % sinv - Inverse/generalized inverse of an LTI system. % slrinv - Least order right/left inverses % spinv - Pseudo-inverses of a rational/LTI system. % srank - Normal rank of transfer-function matrices. % snrcf - Normalized right coprime factorization. % snlcf - Normalized left coprime factorization. % snull - Nullspace basis of a rational matrix % srsol - Solution of linear rational equations. % siofac - Inner-outer factorization. % sqrfac - QR-factorization of rational matrices % sdec - Additive spectral decompositions. % smcover2 - Minimum dynamic cover based order reduction of proper systems. % % Model dynamics analysis. % spole - System poles and Kronecker structure of pole pencil. % szero - System zeros and Kronecker structure of system pencil. % seig - Eigenvalues and Kronecker structure of pole pencil. % kronscf - Kronecker-like staircase form of an arbitrary pencil. % % State-space transformations. % dsqr,dsrq - QR/RQ coordinate forms. % dssvd - SVD and SVD-like coordinate forms. % dsgrsf - ordered generalized Schur-coordinate forms. % dsghess - generalized Hessenberg-coordinate forms. % dsctrbf - Descriptor controllability forms. % dsobsvf - Descriptor observability forms. % dsbal - Diagonal balancing of descriptor realizations. % dsminreal - Minimal realization of descriptor systems. % dss2dss - Descriptor system similarity transformation. % % Model reduction. % gbta - Generalized balanced truncation approximation. % % Design tools. % gplace - Generalized eigenvalue assignment. % gstab - Generalized stabilization. % % Linear matrix equation solvers. % glyap - Solve generalized continuous Lyapunov equations. % gdlyap - Solve generalized discrete Lyapunov equations. % gplyap - Solve generalized positive continuous Lyapunov equations. % gpdlyap - Solve generalized positive discrete Lyapunov equations. % gsylv - Solve generalized Sylvester equation. % gsylvs - Solve generalized Sylvester system. % % Basic mex functions. % gsystr - Generalized system similarity transformations. % gsminr - Generalized system minimal realization. % gssep - Descriptor system spectral separations. % 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. % glinmeq - Generalized linear matrix equations. % % Installation % desc_install- Help file for installation of the toolbox. % desc_check - Check installation % % Demo % desc_demo - Illustration of basic handling capabilities