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Hybrid systems with time scales and impulses. (English) Zbl 1109.34003
Summary: We describe hybrid systems introducing special time scales and impulsive effects so as to provide a broader perspective for hybrid systems.

34A37 Ordinary differential equations with impulses
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
39A12 Discrete version of topics in analysis
Full Text: DOI
[1] Artstein, Z., Examples of stabilization with hybrid feedback, (), 173-185
[2] Lakshmikantham, V.; Bainov, D.D.; Simeonov, P.S., Theory of impulsive differential equations, (1989), World Scientific Singapore · Zbl 0719.34002
[3] Lakshmikantham, V.; Sivasundaram, S.; Kaymakcalan, B., Dynamic systems on measure chains, (1996), Kluwer Academic Publishers Dordrecht · Zbl 0869.34039
[4] Otaro, D.; Giuliani, D.; Sassano, M., Temporal dimension and transition out of chaos, Physica A, 178, 280-288, (1991)
[5] Myshkis, A.D., On the relation between systems with switching and hybrid systems, Funct. differ. equ., 11, 467-473, (2004) · Zbl 1082.34504
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