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Matrix Computations

Controllability and observability, Lyapunov and Riccati equations

Functions

lyapContinuous Lyapunov equation solution
lyapcholSquare-root solver for continuous-time Lyapunov equation
dlyapSolve discrete-time Lyapunov equations
dlyapcholSquare-root solver for discrete-time Lyapunov equations
careContinuous-time algebraic Riccati equation solution
dareSolve discrete-time algebraic Riccati equations (DAREs)
gcareGeneralized solver for continuous-time algebraic Riccati equation
gdareGeneralized solver for discrete-time algebraic Riccati equation
ctrbControllability matrix
obsvObservability matrix
ctrbfCompute controllability staircase form
obsvfCompute observability staircase form
gramControllability and observability Gramians
gramOptionsOptions for the gram command
bdschurBlock-diagonal Schur factorization
normNorm of linear model