Preface xi
Claude JARD and Olivier H. ROUX
Chapter 1. Models for Real-Time Embedded Systems 1
Didier LIME, Olivier H. ROUX and Ji¡ri SRBA
1.1. Introduction 1
1.2. Notations, languages and timed transition systems 5
1.3. Timed models 8
1.4. Models with stopwatches 23
1.5. Conclusion 31
1.6. Bibliography 31
Chapter 2. Timed Model-Checking 39
Beatrice BERARD
2.1. Introduction 39
2.2. Timed models 40
2.3. Timed logics 46
2.4. Timed model-checking 51
2.5. Conclusion 61
2.6. Bibliography 61
Chapter 3. Control of Timed Systems 67
Franck CASSEZ and Nicolas MARKEY
3.1. Introduction 67
3.2. Timed games 72
3.3. Computation of winning states and strategies 76
3.4. Zeno strategies 82
3.5. Implementability 82
3.6. Specification of control objectives 85
3.7. Optimal control 87
3.8. Efficient algorithms for controller synthesis 92
3.9. Partial observation 96
3.10. Changing game rules 97
3.11. Bibliography 98
Chapter 4. Fault Diagnosis of Timed Systems 107
Franck CASSEZ and Stavros TRIPAKIS
4.1. Introduction 107
4.2. Notations 109
4.3. Fault diagnosis problems 113
4.4. Fault diagnosis for discrete event systems 115
4.5. Fault diagnosis for timed systems 122
4.6. Other results and open problems 136
4.7. Bibliography 136
Chapter 5. Quantitative Verification of Markov Chains 139
Susanna DONATELLI and Serge HADDAD
5.1. Introduction 139
5.2. Performance evaluation of Markov models 140
5.3. Verification of discrete time Markov chain 148
5.4. Verification of continuous time Markov chain 157
5.5. State of the art in the quantitative evaluation of Markov chains 160
5.6. Bibliography 162
Chapter 6. Tools for Model-Checking Timed Systems 165
Alexandre DAVID, Gerd BEHRMANN, Peter BULYCHEV, Joakim BYG, Thomas CHATAIN, Kim G. LARSEN, Paul PETTERSSON, Jacob Illum RASMUSSEN, Ji¡ri SRBA,Wang YI, Kenneth Y. JOERGENSEN, Didier LIME,MorganMAGNIN, Olivier H. ROUX and Louis-Marie TRAONOUEZ
6.1. Introduction 165
6.2. UPPAAL 166
6.3. UPPAAL-CORA 182
6.4. UPPAAL-TIGA 185
6.5. TAPAAL 199
6.6. ROMEO: a tool for the analysis of timed extensions of Petri nets 205
6.7. Bibliography 217
Chapter 7. Tools for the Analysis of Hybrid Models 227
Thao DANG, Goran FREHSE, Antoine GIRARD and Colas LE GUERNIC
7.1. Introduction 227
7.2. Hybrid automata and reachability 228
7.3. Linear hybrid automata 232
7.4. Piecewise affine hybrid systems 234
7.5. Hybridization techniques for reachability computations 241
7.6. Bibliography 249
List of Authors 253
Index 259
