# State-Space Methods for Control Systems

##### Citations

^{1}

48 citations

### Cites background from "State-Space Methods for Control Sys..."

...It follows from linear system theory [2] that if the matrix A has all singular values smaller than 11, it is definitely stable, while if any absolute eigenvalue (i....

[...]

10 citations

9 citations

### Cites background or methods from "State-Space Methods for Control Sys..."

...[ 12 ] , “A study of phase noise in CMOS oscillators,” IEEE J. Solid-State...

[...]

...For numerical calculations, the explicit Laplace transform can be avoided making use of Sylverster’s expansion theorem [ 12 ]....

[...]

8 citations

4 citations

### Cites background or methods from "State-Space Methods for Control Sys..."

...It can be shown that the simpler dyadic factorization [7] Wx = g g T ; T 1 1 n n g , ,g ,g − = g (61) can also be used....

[...]

...The LQR (Linear system - Quadratic criterion Regulator) problem This optimization paradigm was formulated by the general, quadratic criterion [7], [8]...

[...]

...The frequency domain condition of the minimum of (55) is called the KALMAN equation [7], [8] or sometimes it is named frequency domain identity wu 1+ k TΦ s ( )b 2 = wu + gTΦ s ( )b 2 (62)...

[...]