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Oscillation Criteria of Two-Dimensional Time-Scale Systems

In: Oscillators - Recent Developments

Author

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  • Ozkan Ozturk

Abstract

Oscillation and nonoscillation theories have recently gotten too much attention and play a very important role in the theory of time-scale systems to have enough information about the long-time behavior of nonlinear systems. Some applications of such systems in discrete and continuous cases arise in control and stability theories for the unmanned aerial and ground vehicles (UAVs and UGVs). We deal with a two-dimensional nonlinear system to investigate the oscillatory behaviors of solutions. This helps us understand the limiting behavior of such solutions and contributes several theoretical results to the literature.

Suggested Citation

  • Ozkan Ozturk, 2019. "Oscillation Criteria of Two-Dimensional Time-Scale Systems," Chapters, in: Patrice Salzenstein (ed.), Oscillators - Recent Developments, IntechOpen.
    • Handle: RePEc:ito:pchaps:169998
    DOI: 10.5772/intechopen.83375
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    More about this item

    Keywords

    oscillation; nonoscillation; two-dimensional systems; time scale; nonlinear system; fixed point theorems;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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