* * *  LINEAR SYSTEMS TOOLKIT * Version 0.99 * Released in August 2004 * * *
    
      *  Decompositions of Autonomous Systems
           ssd       - continuous-time stability structural decomposition . .  1
           dssd      - discrete-time stability structural decomposition . . .  2
           jcf       - Jordan canonical form  . . . . . . . . . . . . . . . .  3
           rjd       - real Jordan decomposition  . . . . . . . . . . . . . .  4
 
      *  Decompositions of Unforced and Unsensed Systems
           osd       - observability structural decomposition . . . . . . . .  5
           obvidx    - observability index  . . . . . . . . . . . . . . . . .  6
           bdosd     - block diagonal observable structural decomposition . .  7
           csd       - controllability structural decomposition . . . . . . .  8
           ctridx    - controllability index  . . . . . . . . . . . . . . . .  9
           bdcsd     - block diagonal controllable structural decomposition . 10
 
      *  Decompositions and Structural Properties of Proper Systems
           scbraw    - raw decomposition without integration chains . . . . . 11
           scb       - structural decomposition of continuous-time system . . 12
           dscb      - structural decomposition of discrete-time system . . . 13
           kcf       - Kronecker canonical form of a system matrix  . . . . . 14
           morseidx  - Morse indices  . . . . . . . . . . . . . . . . . . . . 15
           blkz      - blocking zeros . . . . . . . . . . . . . . . . . . . . 16
           invz      - invariant zero structure . . . . . . . . . . . . . . . 17
           infz      - infinite zero structure  . . . . . . . . . . . . . . . 18
           l_invt    - left invertibility structure . . . . . . . . . . . . . 19
           r_invt    - right invertibility structure  . . . . . . . . . . . . 20
           normrank  - normal rank  . . . . . . . . . . . . . . . . . . . . . 21
           v_star    - weakly unobservable subspace . . . . . . . . . . . . . 22
           v_minus   - stable weakly unobservable subspace  . . . . . . . . . 23
           v_plus    - unstable weakly unobservable subspace  . . . . . . . . 24
           s_star    - strongly controllable subspace . . . . . . . . . . . . 25
           s_minus   - stable strongly controllable subspace  . . . . . . . . 26
           s_plus    - unstable strongly controllable subspace  . . . . . . . 27
           r_star    - controllable weakly unobservable subspace  . . . . . . 28
           n_star    - distributionally weakly unobservable subspace  . . . . 29
           s_lambda  - geometric subspace S_{lambda}  . . . . . . . . . . . . 30
           v_lambda  - geometric subspace V_{lambda}  . . . . . . . . . . . . 31

      *  Operations of Vector Subspaces
           ssorder   - ordering of vector subspaces . . . . . . . . . . . . . 32
           ssintsec  - intersection of vector subspaces . . . . . . . . . . . 33
           ssadd     - addition of vector subspaces . . . . . . . . . . . . . 34
 
      *  Decompositions and Properties of Descriptor Systems
           ea_ds     - decomposition of a matrix pair (E,A) . . . . . . . . . 35
           sd_ds     - decomposition for descriptor systems . . . . . . . . . 36
           invz_ds   - descriptor system invariant zero structure . . . . . . 37
           infz_ds   - descriptor system infinite zero structure  . . . . . . 38
           l_invt_ds - descriptor system left invertibility structure . . . . 39
           r_invt_ds - descriptor system right invertibility structure  . . . 40
 
      *  System Factorizations
           mpfact    - continuous-time minimum-phase/all-pass factorization . 41
           iofact    - continuous-time inner-outer factorization  . . . . . . 42
           gcfact    - continuous-time generalized cascade factorization  . . 43 
           dmpfact   - discrete-time minimum-phase/all-pass factorization . . 44
           diofact   - discrete-time inner-outer factorization  . . . . . . . 45
 
      *  Structural Assignment via Sensor/Actuator Selection
           sa_sen    - structural assignment via sensor selection . . . . . . 46
           sa_act    - structural assignment via actuator selection . . . . . 47
 
      *  Asymptotic Time-scale and Eigenstructure Assignment (ATEA)
           atea      - continuous-time ATEA . . . . . . . . . . . . . . . . . 48
           gm2star   - infimum for continuous-time H2 control . . . . . . . . 49
           h2care    - solution to continuous-time H2 ARE . . . . . . . . . . 50
           h2state   - solution to continuous-time H2 control . . . . . . . . 51
           gm8star   - infimum for continuous-time H-infinity control . . . . 52
           h8care    - solution to continuous-time H-infinity ARE . . . . . . 53
           h8state   - solution to continuous-time H-infinity control . . . . 54
           addps     - solution to continuous-time disturbance decoupling . . 55
           datea     - discrete-time ATEA . . . . . . . . . . . . . . . . . . 56
           dare      - solution to general discrete-time ARE  . . . . . . . . 57
           dgm2star  - infimum for discrete-time H2 control . . . . . . . . . 58
           h2dare    - solution to discrete-time H2 ARE . . . . . . . . . . . 59
           dh2state  - solution to discrete-time H2 control . . . . . . . . . 60
           dgm8star  - infimum for discrete-time H-infinity control . . . . . 61
           h8dare    - solution to discrete-time H-infinity ARE . . . . . . . 62
           dh8state  - solution to discrete-time H-infinity control . . . . . 63
           daddps    - solution to discrete-time disturbance decoupling . . . 64

      *  Disturbance Decoupling Problem with Static Output Feedback (DDPCM)
           ddpcm     - solution to DDPCM  . . . . . . . . . . . . . . . . . . 65
           rosys4ddp - irreducible reduced-order system that can be used 
                       to solve DDPCM . . . . . . . . . . . . . . . . . . . . 66

     * *  E N D  *  O F  *  L I N E A R  *  S Y S T E M S  *  T O O L K I T  * *