Stability of differential inclusions: A computational approach

Vadim Azhmyakov

Mathematical Problems in Engineering, 2006, vol. 2006, 1-15

Abstract:

We present a technique for analysis of asymptotic stability for a class of differential inclusions. This technique is based on the Lyapunov-type theorems. The construction of the Lyapunov functions for differential inclusions is reduced to an auxiliary problem of mathematical programming, namely, to the problem of searching saddle points of a suitable function. The computational approach to the auxiliary problem contains a gradient-type algorithm for saddle-point problems. We also extend our main results to systems described by difference inclusions. The obtained numerical schemes are applied to some illustrative examples.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:017837

DOI: 10.1155/MPE/2006/17837

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