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  2. Root locus analysis - Wikipedia

    en.wikipedia.org/wiki/Root_locus_analysis

    RL = root locus; ZARL = zero angle root locus. Using a few basic rules, the root locus method can plot the overall shape of the path (locus) traversed by the roots as the value of varies. The plot of the root locus then gives an idea of the stability and dynamics of this feedback system for different values of .

  3. Vincenty's formulae - Wikipedia

    en.wikipedia.org/wiki/Vincenty's_formulae

    If the initial point is at the North or South pole, then the first equation is indeterminate. If the initial azimuth is due East or West, then the second equation is indeterminate. If the standard 2-argument arctangent atan2 function is used, then these values are usually handled correctly. [clarification needed]

  4. Logical spreadsheet - Wikipedia

    en.wikipedia.org/wiki/Logical_spreadsheet

    A logical spreadsheet is a spreadsheet in which formulas take the form of logical constraints rather than function definitions.. In traditional spreadsheet systems, such as Excel, cells are partitioned into "directly specified" cells and "computed" cells and the formulas used to specify the values of computed cells are "functional", i.e. for every combination of values of the directly ...

  5. Approach and departure angles - Wikipedia

    en.wikipedia.org/wiki/Approach_and_departure_angles

    Approach (α) and departure angle (β) of a vehicle. Approach angle is the maximum angle of a ramp onto which a vehicle can climb from a horizontal plane without interference. [1] It is defined as the angle between the ground and the line drawn between the front tire and the lowest-hanging part of the vehicle at the front overhang.

  6. Snellius–Pothenot problem - Wikipedia

    en.wikipedia.org/wiki/Snellius–Pothenot_problem

    In trigonometry, the Snellius–Pothenot problem is a problem first described in the context of planar surveying.Given three known points A, B, C, an observer at an unknown point P observes that the line segment AC subtends an angle α and the segment CB subtends an angle β; the problem is to determine the position of the point P.

  7. Rodrigues' rotation formula - Wikipedia

    en.wikipedia.org/wiki/Rodrigues'_rotation_formula

    In the theory of three-dimensional rotation, Rodrigues' rotation formula, named after Olinde Rodrigues, is an efficient algorithm for rotating a vector in space, given an axis and angle of rotation. By extension, this can be used to transform all three basis vectors to compute a rotation matrix in SO(3) , the group of all rotation matrices ...

  8. Closed-loop pole - Wikipedia

    en.wikipedia.org/wiki/Closed-loop_pole

    In root-locus design, the gain K is usually parameterized. Each point on the locus satisfies the angle condition and magnitude condition and corresponds to a different value of K. For negative feedback systems, the closed-loop poles move along the root-locus from the open-loop poles to the open-loop zeroes as the gain is increased

  9. Routh–Hurwitz stability criterion - Wikipedia

    en.wikipedia.org/wiki/Routh–Hurwitz_stability...

    Root locus; Transfer function; Liénard–Chipart criterion (variant requiring fewer computations) Kharitonov's theorem (variant for unknown coefficients bounded within intervals) Jury stability criterion (analog for discrete-time LTI systems) Bistritz stability criterion (analog for discrete-time LTI systems)