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  2. Stable polynomial - Wikipedia

    en.wikipedia.org/wiki/Stable_polynomial

    Stable polynomials arise in control theory and in mathematical theory of differential and difference equations. A linear, time-invariant system (see LTI system theory) is said to be BIBO stable if every bounded input produces bounded output. A linear system is BIBO stable if its characteristic polynomial is stable.

  3. Relative gain array - Wikipedia

    en.wikipedia.org/wiki/Relative_Gain_Array

    The relative gain array (RGA) is a classical widely-used [citation needed] method for determining the best input-output pairings for multivariable process control systems. [1] It has many practical open-loop and closed-loop control applications and is relevant to analyzing many fundamental steady-state closed-loop system properties such as ...

  4. Routh–Hurwitz stability criterion - Wikipedia

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

    In the control system theory, the Routh–Hurwitz stability criterion is a mathematical test that is a necessary and sufficient condition for the stability of a linear time-invariant (LTI) dynamical system or control system. A stable system is one whose output signal is bounded; the position, velocity or energy do not increase to infinity as ...

  5. Backstepping - Wikipedia

    en.wikipedia.org/wiki/Backstepping

    These systems are built from subsystems that radiate out from an irreducible subsystem that can be stabilized using some other method. Because of this recursive structure, the designer can start the design process at the known-stable system and "back out" new controllers that progressively stabilize each outer subsystem. The process terminates ...

  6. Lyapunov equation - Wikipedia

    en.wikipedia.org/wiki/Lyapunov_equation

    The Lyapunov equation, named after the Russian mathematician Aleksandr Lyapunov, is a matrix equation used in the stability analysis of linear dynamical systems. [1] [2]In particular, the discrete-time Lyapunov equation (also known as Stein equation) for is

  7. Stability theory - Wikipedia

    en.wikipedia.org/wiki/Stability_theory

    In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation , for example, is a stable partial differential equation because small perturbations of initial data lead to small variations in temperature ...

  8. How To Make My 5-Ingredient Crab Pasta. For 2 servings as an entrée or 4 as part of a larger meal, you’ll need: 1 medium lemon. 1 tablespoon salt, plus more for seasoning

  9. State-space representation - Wikipedia

    en.wikipedia.org/wiki/State-space_representation

    Stability and natural response characteristics of a continuous-time LTI system (i.e., linear with matrices that are constant with respect to time) can be studied from the eigenvalues of the matrix . The stability of a time-invariant state-space model can be determined by looking at the system's transfer function in factored form.

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