On approximate methods of analysing certain singularly-perturbed systems
โ Scribed by L.K. Kuz'mina
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 586 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0021-8928
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A method to eliminate the fast modes in a singularly perturbed system driven by white noise is presented together with error analysis. An approximate model is derived by replacing the transfer functions of the fast elements with their truncated Maclaurin expansions. It is shown that if the slow elem
The asymptotic analysis of IBVPs for the singularly perturbed parabolic PDE ัจ u q ัจ u s ัจ u in the limit ยช 0 motivates investigations of certain recur- ลฝ . sively defined approximative series ''ping-pong expansions'' . The recursion formulae rely on operators assigning to a boundary condition at th
We discuss singular perturbations of a self-adjoint positive operator A in Hilbert space H formally given by A T =A+T, where T is a singular positive operator (singularity means that Ker T is dense in H). We prove the following result: if T is strongly singular with respect to A in the sense that Ke
New results on the invariance of certain properties of singularly perturbed systems under output feedback are used in the construction of "stabilizing" controllers for a class of uncertain singularly perturbed systems whose fast dynamics are unstable.