TECHNICAL MECHANICS
ISSN (Print): 1561-9184, ISSN (Online): 2616-6380

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UDC 517.938

Technical mechanics, 2014, 3, 87 - 93

CONDITIONS OF STABILITY OF SWITCHING SYSTEMS

Poslavsky S. Yu.

      Dynamic systems described by a combination of differential equations and a discrete switching signal are examined. The research objective is to find an upper estimate for the Lyapunov maximum exponent of the switched system and conditions for exponential stability. New conditions for exponential stability have been found using qualitative analytic methods of differential equations. The results can be employed to investigate the stability of the various systems of automatic control and other dynamic systems.

switching systems, discrete switching, stability conditions, non-linear system, delay

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Copyright (©) 2014 Poslavsky S. Yu.

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