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Understanding Hybrid and Embedded Systems in Computation

Explore the fusion of discrete and continuous components in hybrid systems. Learn about modeling using ordinary differential equations and their properties. Discover examples and solutions in nonlinear systems control.

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Understanding Hybrid and Embedded Systems in Computation

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  1. 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

  2. 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)

  3. Modeling:Ordinary Differential Equations

  4. 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.

  5. Ordinary Differential Equations

  6. Ordinary Differential Equations

  7. Ordinary Differential Equations

  8. Ordinary Differential Equations

  9. Ordinary Differential Equations

  10. Ordinary Differential Equations

  11. Ordinary Differential Equations

  12. Ordinary Differential Equations

  13. Ordinary Differential Equations

  14. Ordinary Differential Equations

  15. Ordinary Differential Equations

  16. Ordinary Differential Equations

  17. Ordinary Differential Equations

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