On practical stability of differential inclusions using Lyapunov functions

Volodymyr Pichkur

doi:10.3934/dcdsb.2017116

Article Contents

2017, Volume 22, Issue 5: 1977-1986. Doi: 10.3934/dcdsb.2017116

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On practical stability of differential inclusions using Lyapunov functions

Volodymyr Pichkur

Taras Shevchenko National University of Kyiv, Department of Computer Science and Cybernetics, Volodymyrska Str. 60,01033, Kyiv, Ukraine

Received: January 2016

Revised: February 2016

Published: August 2017

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Abstract

In this paper we consider the problem of practical stability for differential inclusions. We prove the necessary and sufficient conditions using Lyapunov functions. Then we solve the practical stability problem of linear differential inclusion with ellipsoidal righthand part and ellipsoidal initial data set. In the last section we apply the main result of this paper to the problem of practical stabilization.

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Mathematics Subject Classification: Primary:34A60, 34D20;Secondary:34H15.

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References

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