Journal of applied mathematics & informatics

  • 제8권3호
  • /
  • Pages.829-840
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  • 2001
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  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

AN ASYMPTOTIC STABILITY INVOLVING COLLISION AND AVOIDANCE

  • Ha, Jun-Hong (School of liberal Arts, Korea University of Technology and Education) ;
  • Shim, Jae-Dong (School of Liberal Arts, Korea Univeristy of Technology and Education)
  • 발행 : 2001.09.01

⟨ 이전 논문 다음 논문 ⟩

초록

Generally it is not easy task whether the stable systems governed by nonlinear ordinary differential equations are asymptotically stable or not. This problem often appears in studying a collision and avoidance control problem based on the stability theory. In this paper we devoted to finding conditions that the stable system obtained from the collision and avoidance control problem is asymptotically stable.

키워드

참고문헌

  1. Stability and periodic solutions of ordinary and functional differential equations T.A.Burton
  2. Comput. Math. Applic v.13 no.1-3 Adaptive control for avoidance or evasion in an uncertain environment M.Corless;G.Leitmann;J.M.Skowronski
  3. Theory of ordinary differnetial equations E.A.Coddington;N.Levinson
  4. Int. J. Control v.61 no.4 Stabilization of non-holonomic vehicles under kinematic constraints G.J.Pappas;K.Kyriakopoulous
  5. J. of Optimization Theory and Applications v.36 no.1 Playability with and without capture J.M.Skowtonski;T.L.Vincent
  6. Control and Dynamic Systems v.35 Use of Lyapunov techniques for collision-avoidance of robot arms R.J.Stonier
  7. Dynamics and Stability of Systems v.13 no.4 A solution to the two-dimensional findpath problem Jito Vanualailai;Junhong Ha;Shin-ichi Nakagiri
  8. Mathematics and Computers in Simulation v.39 Collision avoidance in a two-point system via Lyapunov's second method J.Vanualailai;Shin-ichi Nakagiri;Junhong Ha
  9. Stability theory by Lyapunov's second method T.Yoshizawa