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Matrix Computations

Controllability and observability, Lyapunov and Riccati equations


lyap Continuous Lyapunov equation solution
lyapchol Square-root solver for continuous-time Lyapunov equation
dlyap Solve discrete-time Lyapunov equations
dlyapchol Square-root solver for discrete-time Lyapunov equations
care Continuous-time algebraic Riccati equation solution
dare Solve discrete-time algebraic Riccati equations (DAREs)
gcare Generalized solver for continuous-time algebraic Riccati equation
gdare Generalized solver for discrete-time algebraic Riccati equation
ctrb Controllability matrix
obsv Observability matrix
ctrbf Compute controllability staircase form
obsvf Compute observability staircase form
gram Controllability and observability Gramians
gramOptions Options for the gram command
bdschur Block-diagonal Schur factorization
norm Norm of linear model
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