lyapunov equation - Axtarish в Google
The Lyapunov equation, named after the Russian mathematician Aleksandr Lyapunov, is a matrix equation used in the stability analysis of linear dynamical ...
уравнение Ляпунова уравнение Ляпунова
Уравнение Ляпунова, названное в честь российского математика Александра Ляпунова, представляет собой матричное уравнение, используемое при анализе устойчивости линейных динамических систем. В частности, уравнение Ляпунова с дискретным временем для... Википедия (Английский язык)
If A is stable, there exists a quadratic Lyapunov function V (z) = zT Pz that proves it, i.e., there exists P > 0, Q > 0 that satisfies the (continuous- or ...
The following method, proposed by Bartels and Stewart (1972), is now widely used as an effective computational method for the Lyapunov equation.
Solving the Lyapunov equation. A. T. P + PA + Q = 0 we are given A and Q and want to find P if Lyapunov equation is solved as a set of n(n + 1)/2 equations in.
Use lyap to solve the special and general forms of the Lyapunov equation. Lyapunov equations arise in several areas of control, including stability theory.
The Lyapunov equation is the most com- mon problem in the class of problems called matrix equations. Other examples of matrix equations: Sylvester equation,.
5 сент. 2012 г. · All Lyapunov equations AX+XAT=B have a unique, symmetric solution X=XT, unless there is a λ∈C such that λ and −λ are both eigenvalues of A. This ...
Lyapunov functions have lead to one of the most important tools in the design and analysis of control systems, the Lyapunov equations.
3 янв. 2022 г. · Abstract:The continuous-time differential Lyapunov equation is widely used in linear optimal control theory, a branch of mathematics and ...
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