Application of Interval Analysis Techniques to Linear Systems: Part III–-Initial Value Problems

IEEE Transactions on Circuits and Systems

Volumn 35, Issue 10, 1988, Pages 1243-1256

  Oppenheimer, Edward P ^a   Michel, Anthony N ^b  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, LINEAR; CONTROL SYSTEMS, OPTIMAL; MATHEMATICAL TECHNIQUES -- DIFFERENTIAL EQUATIONS; SERVOMECHANISMS;

INITIAL VALUE PROBLEMS; RLC CIRCUIT;

ELECTRIC NETWORKS, LINEAR;

EID: 0024092799     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/31.7599     Document Type: Article

References (13)

1. E. P. Oppenheimer and A. N. Michel, “Application of interval analysis techniques to linear systems–-Part II: The interval matrix exponential function”, IEEE Circuits Syst., vol. 35, pp. 000-000, this issue.
2. R. K. Miller and A. N. Michel, Ordinary Differential Equations New York: Academic, 1982.
3. E. P. Oppenheimer and A. M. Michel, “Application of interval analysis techniques to linear systems–-Part I: Fundamental results”, IEEE Circuits Syst., vol. 35, pp. 000-000, Sept. 1988.
4. E. P. Oppenheimer, “Application of interval analysis to problems of linear control systems”, Ph.D. dissertation, Iowa State Univ. Library, Ames, lA.
5. Carol A. Clark, “Implementation of the Fortran precompiler, CLUDGE, for the IBM 360/67”, Computing Center Library, Washington State Univ., Seattle, 1971.
6. “Interval arithmetic package for the IBM 360/67”, computing Center Library, Washington State Unv., Seattle, 1971.
7. “Implementation of best possible floating point arithmetic for the IRM 360/67”, Computing Center Library, WaShington State Univ., Seattle, 1971.
8. “IBM high-accuracy arithmetic subroutine library (ACRITH”, IBM Systems Reference Library, File S370/4300-82, GC33-6163-02, IBM Product Pub., Kingston, NY, Apr. 1986.
9. L. B. Rall, “Introduction to the scicntific computing language Pasca-SC”, presented at the Trans. Army Conf. on Appl. Math. and Computing, Washington, DC, May 22-25, 1984.
10. J. J. D'Azzo and C. H. Houpis, Linear Control Systems. NewYork: McGraw-Hill, 1981.
11. B. A Chubb, Modern Analytical Design of Instrument Servomechanisms. Reading, M: Addison-Wesley, 1967.
12. P. Henrici, Discrete Variable Methods in Ordinary Differential Equations. New York: Wiley, 1962.
13. V. V. Ciric, “Design of minimum sensitivity control systems”, Ph.D. dissertation, Rice Univ., Houston, TX.