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Stability and Optimal Control for Semi-Markov Jump Parameter Linear Systems

In: Recent Advances in Applied Probability

Author

Listed:
  • Kenneth J. Hochberg

    (Bar-Ilan University, Department of Mathematics and Computer Science
    College of Judea and Samaria, Department of Mathematics)

  • Efraim Shmerling

    (Bar-Ilan University, Department of Mathematics and Computer Science)

Abstract

We consider continuous-time and discrete-time jump parameter linear control systems with semi-Markov coefficients and solution jumps that coincide with jumps of a semi-Markov random process. First, we derive stability conditions for semi-Markov systems of differential equations. We then determine necessary optimality conditions for the solutions of continuous-time and discrete-time control systems.

Suggested Citation

  • Kenneth J. Hochberg & Efraim Shmerling, 2005. "Stability and Optimal Control for Semi-Markov Jump Parameter Linear Systems," Springer Books, in: Ricardo Baeza-Yates & Joseph Glaz & Henryk Gzyl & Jürgen Hüsler & José Luis Palacios (ed.), Recent Advances in Applied Probability, pages 205-221, Springer.
  • Handle: RePEc:spr:sprchp:978-0-387-23394-9_9
    DOI: 10.1007/0-387-23394-6_9
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