Optimal Syntheses for Control Systems on 2-D Manifolds

Cover
Springer Science & Business Media, 26.11.2003 - 262 Seiten

This book is devoted to optimal syntheses in control theory and focuses on minimum time on 2-D manifolds. The text outlines examples of applicability, introduces geometric methods in control theory, and analyzes single input systems on 2-D manifolds including classifications of optimal syntheses and feedbacks, their singularities, extremals projection and minimum time singularities. Various extensions and applications are also illustrated.

 

Ausgewählte Seiten

Inhalt

VII
15
IX
19
X
20
XI
23
XII
24
XIV
26
XV
27
XVI
29
LII
134
LIII
135
LIV
141
LVI
145
LVIII
149
LX
151
LXI
152
LXII
153

XVII
30
XVIII
33
XIX
35
XX
38
XXI
40
XXII
48
XXIII
51
XXIV
56
XXV
58
XXVI
60
XXVII
62
XXIX
83
XXX
85
XXXI
86
XXXII
88
XXXIII
89
XXXIV
103
XXXV
104
XXXVI
108
XXXVII
111
XXXVIII
113
XXXIX
114
XL
116
XLI
118
XLIII
120
XLIV
121
XLV
122
XLVI
123
XLVII
124
XLVIII
127
XLIX
129
L
132
LXIII
156
LXV
157
LXVI
158
LXVII
159
LXVIII
162
LXIX
164
LXXI
167
LXXII
170
LXXIII
171
LXXIV
177
LXXV
181
LXXVI
182
LXXVII
184
LXXVIII
187
LXXIX
189
LXXX
195
LXXXI
197
LXXXII
201
LXXXIV
202
LXXXV
209
LXXXVI
211
LXXXVII
219
LXXXIX
221
XC
229
XCI
234
XCII
236
XCIII
245
XCIV
246
XCV
247
XCVI
251
XCVII
259
Urheberrecht

Häufige Begriffe und Wortgruppen

AB(x abnormal extremals algorithm anti-turnpike assume b₁ bifold Chapter classification concatenation conjugate connected components Consider the system constant control constructed trajectories control system Control Theory corresponding to constant cotangent bundle covector cusp D₁ define Definition E₁ edges endpoint singular equation equivalence classes Example exists a neighborhood extremal pair extremal strip extremal synthesis extremal trajectory feedback Figure finite number frame curves Frame Points graph hence holds homeomorphic intersect Lemma Lie bracket minimum time function Moreover Morse function NTAE optimal control optimal synthesis optimal trajectories origin overlap curve Pontryagin Maximum Principle projection singularities Proof Proposition prove reach reachable set region resp satisfies Section singular trajectories smooth stability conditions strip border sufficiently small switching curve switching points t₁ tangent Theorem ti+1 topological trajectory corresponding turnpike U₁ vector fields Whitney Umbrella

Beliebte Passagen

Seite 2 - is the study of the set of points that can be reached, from‎
Wird in 2 Büchern von 2003 bis 2004 erwähnt

Verweise auf dieses Buch

Bibliografische Informationen

TitelOptimal Syntheses for Control Systems on 2-D Manifolds
Band 43 von Mathématiques et Applications
AutorenUgo Boscain, Benedetto Piccoli
Ausgabeillustriert
VerlagSpringer Science & Business Media, 2003
ISBN3540203060, 9783540203063
Länge262 Seiten
  
Zitat exportierenBiBTeX EndNote RefMan