On Lyapunov stability of linear systems of generalized ordinary differential equations.
Ashordia, M., Kekelia, N. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Ashordia, M., Kekelia, N. (2000)
Memoirs on Differential Equations and Mathematical Physics
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This paper deals with stability analysis of hybrid systems. Various stability concepts related to hybrid systems are introduced. The paper advocates a local analysis. It involves the equivalence relation generated by reset maps of a hybrid system. To establish a tangible method for stability analysis, we introduce the notion of a chart, which locally reduces the complexity of the hybrid system. In a chart, a hybrid system is particularly simple and can be analyzed with the use of methods...
Leites, D. (2004)
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A pullback incremental attraction, a nonautonomous version of incremental stability, is introduced for nonautonomous systems that may have unbounded limiting solutions. Its characterisation by a Lyapunov function is indicated.
Kekelia, N. (2000)
Memoirs on Differential Equations and Mathematical Physics
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