Characterizations of Some Transversality-Type Properties

Apostolov, Stoyan; Bivas, Mira; Ribarska, Nadezhda

doi:10.1007/s11228-022-00633-4

Set-Valued Var. Anal

2022

DOI: 10.1007/s11228-022-00633-4

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Characterizations of Some Transversality-Type Properties

Stoyan Apostolov

Mira Bivas

Nadezhda Ribarska

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2023

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Cited by 2 publications

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“…A characterization of subtransversality is metric subregularity of some associated map (cf., for example, [19], [21], [5], [9], [10], [2]). Therefore, in fact, the present paper is based on the property "metric subregularity".…”

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confidence: 99%

Linearization of differential inclusions

Bivas,

Krastanov,

Ribarska

2023

Serdica Math. J.

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In this paper we extend the approach of Dubovickiĭ and Miljutin for linearization of the dynamics of smooth control systems to a non-smooth setting. We consider dynamics governed by a differential inclusion and we study the Clarke tangent cone to the set of all admissible trajectories starting from a fixed point. Our approach is based on the classical Filippov’s theorem and on the important property “subtransversality” of two closed sets.

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confidence: 99%

Linearization of differential inclusions

Bivas,

Krastanov,

Ribarska

2023

Serdica Math. J.

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Transversality versus strong tangential transversality

Ribarska

Tasheva

2023

Journal of Mathematical Analysis and Applications

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Characterizations of Some Transversality-Type Properties

Cited by 2 publications

References 17 publications

Linearization of differential inclusions

Linearization of differential inclusions

Transversality versus strong tangential transversality

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