Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Wouter Jongeneel"'
Topological Obstructions to Stability and Stabilization : History, Recent Advances and Open Problems
Autor:
Wouter Jongeneel, Emmanuel Moulay
This open access book provides a unified overview of topological obstructions to the stability and stabilization of dynamical systems defined on manifolds and an overview that is self-contained and accessible to the control-oriented graduate student.
Autor:
Wouter Jongeneel, Emmanuel Moulay
Publikováno v:
SpringerBriefs in Electrical and Computer Engineering ISBN: 9783031301322
In this chapter we discuss differentiable structures on topological manifolds. In particular, we discuss transversality, tubular neighbourhoods, index theory, the degree and the theorems by Poincaré and Hopf and Bobylev and Krasnosel’skiĭ.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c773d930b213cb292f6209b771748e8e
https://doi.org/10.1007/978-3-031-30133-9_3
https://doi.org/10.1007/978-3-031-30133-9_3
Autor:
Wouter Jongeneel, Emmanuel Moulay
Publikováno v:
SpringerBriefs in Electrical and Computer Engineering ISBN: 9783031301322
This chapter presents the main general topological tools, as used in later parts. In particular we highlight topological manifolds, homotopies and retractions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::92a92194062fda57191b1bf9e8816bfa
https://doi.org/10.1007/978-3-031-30133-9_2
https://doi.org/10.1007/978-3-031-30133-9_2
Autor:
Wouter Jongeneel, Emmanuel Moulay
Publikováno v:
SpringerBriefs in Electrical and Computer Engineering ISBN: 9783031301322
This first chapter puts forward the potential and arguably necessity of employing topological methods when studying nonlinear dynamical control systems. This potential is further emphasized by highlighting the historical development of Poincaré’s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c1b8494910e95135f8bf5ff079f03a1
https://doi.org/10.1007/978-3-031-30133-9_1
https://doi.org/10.1007/978-3-031-30133-9_1
Autor:
Wouter Jongeneel, Emmanuel Moulay
Publikováno v:
SpringerBriefs in Electrical and Computer Engineering ISBN: 9783031301322
This chapter briefly highlights how one might address the aforementioned topological obstructions. We discuss almost global stabilization, periodic time-varying feedback and the broadest and most successful framework for discontinuous feedback: hybri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::010a189114e4b7f013f2fb9fed15cd5b
https://doi.org/10.1007/978-3-031-30133-9_7
https://doi.org/10.1007/978-3-031-30133-9_7
Autor:
Wouter Jongeneel, Emmanuel Moulay
Publikováno v:
SpringerBriefs in Electrical and Computer Engineering ISBN: 9783031301322
This chapter concludes the monograph and provides a brief overview of generalizations, ongoing work and open problems. In particular, by means of periodic orbits we highlight analogous discrete-time theory. Moreover, we remark how to generalize the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e9a0901e6a4b06f3c5b8579f32d278b
https://doi.org/10.1007/978-3-031-30133-9_8
https://doi.org/10.1007/978-3-031-30133-9_8
Autor:
Wouter Jongeneel, Emmanuel Moulay
Publikováno v:
SpringerBriefs in Electrical and Computer Engineering ISBN: 9783031301322
Given the previous chapters on topology and dynamical system theory, we can now provide a consistent treatment of topological obstructions to stability and stabilization. In particular, we will see how the retraction theory from Sect. 2.2 and the ind
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c52d045cb64c9f623c81a6d91b9cdf5
https://doi.org/10.1007/978-3-031-30133-9_6
https://doi.org/10.1007/978-3-031-30133-9_6
Autor:
Wouter Jongeneel, Emmanuel Moulay
Publikováno v:
SpringerBriefs in Electrical and Computer Engineering ISBN: 9783031301322
In this chapter we define dynamical control systems over spaces previously discussed and we formalize concepts as touched upon in Chap. 3. We start by introducing continuous-time dynamical systems on manifolds and a variety of stability notions. Then
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dbfc5fed90313fb995e254efbf91291d
https://doi.org/10.1007/978-3-031-30133-9_5
https://doi.org/10.1007/978-3-031-30133-9_5
Autor:
Wouter Jongeneel, Emmanuel Moulay
Publikováno v:
SpringerBriefs in Electrical and Computer Engineering ISBN: 9783031301322
In this chapter we briefly introduce important concepts from homology theory and we highlight how some results from Chap. 3 can be understood through the lens of algebraic topology. This chapter accumulates in showing that the Euler characteristic ca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c846f3ac37b1c04d8bfd7e129c86ec36
https://doi.org/10.1007/978-3-031-30133-9_4
https://doi.org/10.1007/978-3-031-30133-9_4
Publikováno v:
Proceedings of the IEEE 58th Conference on Decision and Control, CDC 2019
CDC
CDC
We consider the problem of controlling an unknown stochastic linear dynamical system subject to an infinitehorizon discounted quadratic cost. Existing approaches for handling the corresponding robust optimal control problem resort to either conservat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f849a37a948e2e5f18d051bbc23a3e02
http://resolver.tudelft.nl/uuid:aa0e20f6-3345-42ae-b88c-7c0368e4280c
http://resolver.tudelft.nl/uuid:aa0e20f6-3345-42ae-b88c-7c0368e4280c