@inproceedings{ab2a479cbdb14e38ad4289bbb22f6d4d,

title = "Spatiotemporal singular transformation in dynamical systems with impacts and its use in obtaning generalized solution of Painleve problem",

abstract = "This work considers classical problem of motion in systems with dry friction, known as the Painleve problem. This problem takes place in the presence of collisions of a rod with a at surface, and the use of the classical mechanics method runs into difficulties due to the impulsive nature of the interaction force that does not lend itself to exact calculations. The methodology suggested by the authors in recent years permits approximating a family of solutions corresponding to a large value of the stiffness coefficient of the obstacle.",

keywords = "Autonomous vehicles, Control, Guidance systems",

author = "Miller, {B. M.} and Rubinovich, {E. Ya} and J. Bentsman",

note = "Funding Information: The work of E. Rubinovich was supported by Russian Foundation for Basic Research under grants 10-08-0107-a and 10-08-90030-Bela presidium of Russian Academy of Sciences (Program # 29) and was partially supported by Monash University during his stay in the School of Mathematical Sciences, Monash University. Funding Information: The work of J. Bentsman was supported by the U.S. National Science Foundation grant CMMI-0900138. Funding Information: ★ The work of B. Miller was supported by the Australian Foundation for Scientific Research grant ARC DP 0988685 and Russian Foundation for Basic Research under grant 10-01-00710-a.",

year = "2011",

doi = "10.3182/20110828-6-IT-1002.01314",

language = "English (US)",

isbn = "9783902661937",

series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

publisher = "IFAC Secretariat",

number = "1 PART 1",

pages = "3463--3473",

booktitle = "Proceedings of the 18th IFAC World Congress",

edition = "1 PART 1",

}