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Hybrid Sys.

• Time/Events
• Hybrid Systems
• Mixed Systems
• Modal Models
• Loudness
• Timed Automata
• Parking Meter
• Protocols
• Internet

Time-Based Signals vs. Event Sequences

• Event sequences:
  • x: Naturals₀ → Symbols
• Discrete-time signals:
  • x: Naturals₀ → Reals^K
  • x: Integers → Reals^K
• Continuous-time signals:
  • x: Reals+ → Reals^K
  • x: Reals → Reals^K

The difference between event sequences and discrete-time signals is largely one of interpretation: what is meant by the index in the domain? Time or just ordering? Also, time-based signals more commonly have values in Reals^K for some natural number K.

Hybrid systems combine time-based signals with event sequences.