000 04106nam a22004935i 4500
001 978-1-4471-2795-6
003 DE-He213
005 20140220083236.0
007 cr nn 008mamaa
008 120420s2012 xxk| s |||| 0|eng d
020 _a9781447127956
_9978-1-4471-2795-6
024 7 _a10.1007/978-1-4471-2795-6
_2doi
050 4 _aQ295
050 4 _aQA402.3-402.37
072 7 _aGPFC
_2bicssc
072 7 _aSCI064000
_2bisacsh
072 7 _aTEC004000
_2bisacsh
082 0 4 _a519
_223
100 1 _aBujorianu, Luminita Manuela.
_eauthor.
245 1 0 _aStochastic Reachability Analysis of Hybrid Systems
_h[electronic resource] /
_cby Luminita Manuela Bujorianu.
264 1 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2012.
300 _aXVII, 248 p. 14 illus., 8 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aCommunications and Control Engineering,
_x0178-5354
505 0 _aThe Need for Interdisciplinarity in Modern Systems Engineering -- Markov Models -- Randomness Issues when Modeling Hybrid Systems -- Stochastic Hybrid Systems -- Reachability Analysis for Deterministic Hybrid Systems -- Stochastic Reachability Problems -- Different Methodologies for Stochastic Reachability -- Stochastic Reachability Based on Markov Process Theory -- Martingale Methods -- Stochastic Reachability as an Optimal Stopping Problem -- Dynamic Programming Approach to Stochastic Reachability -- Applications to Autonomous Systems -- Applications of Stochastic Reachability in Air-traffic Management.
520 _aStochastic reachability analysis (SRA) is a method of analyzing the behavior of control systems which mix discrete and continuous dynamics. For probabilistic discrete systems it has been shown to be a practical verification method but for stochastic hybrid systems it can be rather more. As a verification technique SRA can assess the safety and performance of, for example, autonomous systems, robot and aircraft path planning and multi-agent coordination but it can also be used for the adaptive control of such systems. Stochastic Reachability Analysis of Hybrid Systems is a self-contained and accessible introduction to this novel topic in the analysis and development of stochastic hybrid systems. Beginning with the relevant aspects of Markov models and introducing stochastic hybrid systems, the book then moves on to coverage of reachability analysis for stochastic hybrid systems. Following this build up, the core of the text first formally defines the concept of reachability in the stochastic framework and then treats issues representing the different faces of SRA: ·        stochastic reachability based on Markov process theory; ·        martingale methods; ·        stochastic reachability as an optimal stopping problem; and ·        dynamic programming. The book is rounded off by an appendix providing mathematical underpinning on subjects such as ordinary differential equations, probabilistic measure theory and stochastic modeling, which will help the non-expert-mathematician to appreciate the text. Stochastic Reachability Analysis of Hybrid Systems characterizes a highly interdisciplinary area of research and is consequently of significant interest to academic researchers and graduate students from a variety of backgrounds in control engineering, applied mathematics and computer science.
650 0 _aMathematics.
650 0 _aComputer science.
650 0 _aSystems theory.
650 1 4 _aMathematics.
650 2 4 _aSystems Theory, Control.
650 2 4 _aControl.
650 2 4 _aMath Applications in Computer Science.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781447127949
830 0 _aCommunications and Control Engineering,
_x0178-5354
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4471-2795-6
912 _aZDB-2-ENG
999 _c100708
_d100708