The Heights Theorem for infinite Riemann surfaces
Sign Up to like & getrecommendations! Published in 2022 at "Geometriae Dedicata"
DOI: 10.1007/s10711-022-00694-7
Abstract: Marden and Strebel established the Heights Theorem for integrable holomorphic quadratic differentials on parabolic Riemann surfaces. We extends the validity of the Heights Theorem to all surfaces whose fundamental group is of the first kind.… read more here.
Keywords: heights theorem; integrable holomorphic; quadratic differential; riemann surfaces ... See more keywords
Full-state autopilot-guidance design under a linear quadratic differential game formulation
Sign Up to like & getrecommendations! Published in 2018 at "Control Engineering Practice"
DOI: 10.1016/j.conengprac.2018.03.009
Abstract: Abstract Full-state single-loop and full-state two-loop autopilot-guidance architectures are derived under a linear quadratic differential game formulation. In the full-state single-loop case, the guidance command is injected directly to the actuator, whereas in the full-state… read more here.
Keywords: state; game; quadratic differential; linear quadratic ... See more keywords
Phase portraits of Abel quadratic differential systems of the second kind
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DOI: 10.1080/14689367.2017.1402296
Abstract: ABSTRACT We provide normal forms and the global phase portraits on the Poincaré disk of some Abel quadratic differential equations of the second kind. Moreover, we also provide the bifurcation diagrams for these global phase… read more here.
Keywords: second kind; abel quadratic; phase portraits; quadratic differential ... See more keywords
Stochastic Adaptive Linear Quadratic Differential Games
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2023.3274863
Abstract: Game theory is playing more and more important roles in understanding complex systems and in investigating intelligent machines with various uncertainties. As a starting point, we consider the classical two-player zero-sum linear-quadratic stochastic differential games,… read more here.
Keywords: quadratic differential; adaptive linear; differential games; stochastic adaptive ... See more keywords