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EECE 396-1 Hybrid and Embedded Systems: Computation. T. John Koo, Ph.D. Institute for Software Integrated Systems Department of Electrical Engineering and Computer Science Vanderbilt University 300 Featheringill Hall February 3, 2004 john.koo@vanderbilt.edu
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EECE 396-1Hybrid and Embedded Systems: Computation T. John Koo, Ph.D. Institute for Software Integrated Systems Department of Electrical Engineering and Computer Science Vanderbilt University 300 Featheringill Hall February 3, 2004 john.koo@vanderbilt.edu http://www.vuse.vanderbilt.edu/~kootj
Hybrid System • A system built from atomic discrete components and continuous components by parallel and serial composition, arbitrarily nested. • The behaviors and interactions of components are governed by models of computation (MOCs). • Discrete Components • Finite State Machine (FSM) • Discrete Event (DE) • Synchronous Data Flow (SDF) • Continuous Components • Ordinary Differential Equation (ODE) • Partial Differential Equation (PDE)
Topics • Ordinary Differential Equations • Definitions • Examples • Existence and Uniqueness of Solutions • Properties of Solutions • Ref: • [1] S. S. Sastry, Nonlinear Systems: Analysis, Stability, and Control, Springer, 1999. • [2] J. J. Slotine and W. Li, Applied Nonlinear Control, Prentice Hall, 1991. • [3] H. K. Khalil, Nonlinear Systems, Macmillan, 1992.