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Stability of differential inclusions: A computational approach

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  • Vadim Azhmyakov

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.

Suggested Citation

  • Vadim Azhmyakov, 2006. "Stability of differential inclusions: A computational approach," Mathematical Problems in Engineering, Hindawi, vol. 2006, pages 1-15, January.
    • Handle: RePEc:hin:jnlmpe:017837
    DOI: 10.1155/MPE/2006/17837
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