Ads
related to: lyapunov theory pdf printable form 10 3542 blankva-form-10-3542.pdffiller.com has been visited by 1M+ users in the past month
A tool that fits easily into your workflow - CIOReview
- Edit PDF Documents Online
Upload & Edit any PDF File Online.
No Installation Needed. Try Now!
- Make PDF Forms Fillable
Upload & Fill in PDF Forms Online.
No Installation Needed. Try Now!
- Type Text in PDF Online
Upload & Type on PDF Files Online.
No Installation Needed. Try Now!
- Convert PDF to Word
Convert PDF to Editable Online.
No Installation Needed. Try Now!
- Edit PDF Documents Online
Search results
Results from the WOW.Com Content Network
In particular, the discrete-time Lyapunov equation (also known as Stein equation) for is A X A H − X + Q = 0 {\displaystyle AXA^{H}-X+Q=0} where Q {\displaystyle Q} is a Hermitian matrix and A H {\displaystyle A^{H}} is the conjugate transpose of A {\displaystyle A} , while the continuous-time Lyapunov equation is
In the theory of ordinary differential equations (ODEs), Lyapunov functions, named after Aleksandr Lyapunov, are scalar functions that may be used to prove the stability of an equilibrium of an ODE. Lyapunov functions (also called Lyapunov’s second method for stability) are important to stability theory of dynamical systems and control theory .
Conley's decomposition is characterized by a function known as complete Lyapunov function. Unlike traditional Lyapunov functions that are used to assert the stability of an equilibrium point (or a fixed point) and can be defined only on the basin of attraction of the corresponding attractor, complete Lyapunov functions must be defined on the whole phase-portrait.
Lyapunov theory, a theorem related to the stability of solutions of differential equations near a point of equilibrium; Lyapunov central limit theorem, variant of the central limit theorem; Lyapunov vector-measure theorem, theorem in measure theory that the range of any real-valued, non-atomic vector measure is compact and convex
The mathematical theory of stability of motion, founded by A. M. Lyapunov, considerably anticipated the time for its implementation in science and technology. Moreover Lyapunov did not himself make application in this field, his own interest being in the stability of rotating fluid masses with astronomical application.
Among formal techniques, Lyapunov theory is one of the most powerful and widely applied frameworks for characterizing and analyzing non-asymptotic convergence behavior. For iterative methods , one common practical approach is to discuss these rates in terms of the number of iterates or the computer time required to reach close neighborhoods of ...
AOL Mail welcomes Verizon customers to our safe and delightful email experience!
This was the basis for his first published scientific works On the equilibrium of a heavy body in a heavy fluid contained in a vessel of a fixed form and On the potential of hydrostatic pressure. Lyapunov also completed his university course in 1880, two years after Andrey Markov who had also graduated at Saint Petersburg University. Lyapunov ...