Interval stability of linear impulsive systems

Based on the direct Lyapunov method, sufficient conditions of the interval stability of linear systems of differential equations with impulse effect are obtained. In addition, the problem of interval stability is reduced to the problem of consistency a system of matrix inequalities and to the fact t...

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Bibliographic Details
Published in:Journal of computer & systems sciences international 2015, Vol.54 (1), p.1-12
Main Authors: Denisenko, V. S., Slyn’ko, V. I.
Format: Article
Language:English
Subjects:
Algebra
Computer science
Consistency
Control
Differential equations
Engineering
Impulses
Inequalities
Intervals
Linear programming
Linear systems
Mechatronics
Polytopes
Robotics
Stability
Studies
System theory
Systems science
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Summary:Based on the direct Lyapunov method, sufficient conditions of the interval stability of linear systems of differential equations with impulse effect are obtained. In addition, the problem of interval stability is reduced to the problem of consistency a system of matrix inequalities and to the fact that algebraic inequalities hold.
ISSN:1064-2307
1555-6530
DOI:10.1134/S1064230714050050