REFERENCES
- AKHIEZER , N. I. , and GLAZMAN , I. M. , 1981 , Theory of Linear Operators in Hilbert Space Vol. II ( London Pitman ).
- BERTRAM , J. E. , and SARACHICK , P. E. , 1959 , Stability of circuits with randomly time-varying parameters. Transactions of the Institute of Radio Engineering , 5 , 260 – 270 .
- BUCY , R. S. , 1965 , Stability and positive supermartingales. Journal of Differential Equations , 1 , 151 – 155 .
- CAGLAYAN , A. K. , RAHNAMAI , K. , MOERDER , D. D. , and HALYO , N. , 1987 , A hierarchical reconfiguration strategy for aircraft subjected to actuator failure/surface damage. Air Force Wright Aeronautics Laboratory , Wright Patterson AFB , Ohio , AFWAL-TR-87-3034 .
- DOOB , J. L. , 1956 , Stochastic Processes ( New York Wiley ).
- HOWELL , W. , BUNDICK , T. , HUESCHEN , R. , and OSTROFF , A. , 1983 , Restructurable controls for aircraft. AlAA Guidance and Control Conference , Gatlinburg , Tennessee , AIAA-83-2255 .
- Jr , Y. , and CHIZECK , H. J. , 1990 , Controllability, stabilizability, and continuous-time marko-vian jump linear quadratic control. IEEE Transactions on Automatic Control , 35 , 777 – 788 .
- KATS , I. IA. , and KRASOVSKH , N. N. , 1960 , On stability of systems with random parameters . Journal of Applied Mathematics and Mechanics , 24 , 1225 – 1246 .
- KHASMINSKJI , R. Z. , 1962 , On the stability of the trajectory of Markov processes. Journal of Applied Mathematics and Mechanics , 26 , 1554 – 1565 ; 1967, Necessary and sufficient conditions for asymptotic stability of linear stochastic systems. Theory of Probability and its Applications, 12, 144–147; 1980, Stochastic Stability of Differential Equations(The Netherlands Sijthoff and Noordhoff) .
- KOZIN , F. , 1969 , A survey of stability of stochastic systems. Automatica , 5 , 95 – 112 ; 1972, Stability of the Linear Stochastic System. Lecture Notes in Mathematics, Vol. 294 (Berlin Springer-Verlag) pp. 186–229.
- KUSHNER , H. J. , 1967 , Stochastic Stability and Control ( New York Academic Press ); 1971, Introduction to Stochastic Control (New York Holt, Rinehart and Winston); 1972 Stochastic Stability. Lecture Notes in Mathematics, Vol. 294 (Berlin Springer-Verlag), pp. 97–124 .
- LOOZE , D. , KROLEWSKI , S. , WEISS , J. , BARRETT , N. , and ETERNO , J. , 1984 , Automatic control design procedures for restructurable aircraft control. NASA Contractor Report CR-172489.
- LOOZE , D. P. , WEISS , J. L. , ETERNO , J. S. , and BARRETT , N. M. , 1985 , An automatic redesign approach for restructurable control systems. IEEE Control Systems Magazine 5 , 16 – 22 .
- MARITON , M. 1989 , Detection delays, false alarm rates and the reconfiguration of control systems. International Journal of Control , 49 , 981 – 992 .
- MOERDER , D. D. , HALYO , N. , BROUSSARD , J. R. , and CAGLAYAN , A. K. , 1989 , Application of precomputed control laws in a reconfigurable aircraft flight control system. Journal of Guidance, Control and Dynamics , 12 , 325 – 333 .
- NEVELSON , M. B. , 1966 , Stability in the large of a trajectory of the Markov processes of diffusion-type. Journal of Differential Equations , 1 , 544 – 548 .
- PATTON , R. J. , FRANK , P. M. , and CLARK , R. N. , (editors), 1989 , Fault Diagnosis in Dynamic Systems Theory and Applications ( London Prentice Hall ).
- PETKOVSKI , D. B. , 1987 , Multivariable control systems design a case study of robust control of nuclear power plants. Fault Detection and Reliability , Vol. 9 ( New York Pergamon ), pp. 239 – 246 .
- POTTER , J. E. , and SUMAN , M. C. , 1986 , Extension of midvalue selection technique for redundancy management of inertia! sensors. Journal of Guidance, Control and Dynamics , 9 , 37 – 44 .
- SRICHANDER , R. , 1990 , Fault tolerant control of continuous time systems. Ph.D. Dissertation, Department of Aerospace Engineering and Engineering Mechanics , University of Cincinnati , Cincinnati .
- SRICHANDER , R. , and WALKER , B. K. , 1992 , The synthesis and stability of a feedback control law for continuous time fault tolerant control systems. International Journal of Control , submitted for publication .
- SWORDER , D. D. , 1969 , Feedback control of a class of linear systems with jump parameters. IEEE Transactions on Automatic Control , 14 , 9 – 14 .
- VAN TREES , H. L. , 1968 , Detection, Estimation and Modulation Theory ( New York Wiley ).
- VIDYASAGAR , M. , and VISHWANADHAM , N. , 1985 , Reliable stabilization using a multi-controller configuration. 0 Automatica , 21 , 599 – 602 .
- WALKER , B. K. , 1980 , A semi-markov model approach to quantifying fault tolerant system performance. Sc.D. Dissertation, Department of Aeronautics and Astronautics , MIT , Cambridge , Massachusetts ; 1983, Recent developments in fault diagnosis and accommodation. AIAA Guidance and Control Conference, Gatlinburg, Tennessee, AIAA-83–2258 .
- WILLSKY , A. S. , 1976 , A survey of design methods for failure detection in dynamic systems. Automatica , 12 , 601 – 611 .
- WILLSKY , A. S. , and JONES , H. L. , 1976 , A generalized likelihood ratio approach to the detection and estimation of jumps in linear systems. IEEE Transactions on Automatic Control , 21 , 108 – 112 .
- WONHAM , W. M. , 1971 , Random differential equations in control theory. Probabilistic Methods in Applied Mathematics , Vol. 2 , edited by A. T. Bharucha-Reid ( New York Academic Press ), pp. 131 – 212 .
- YEDAVALLI , R. K. , 1985 , Perturbation bounds for robust stability in linear state space models. International Journal of Control , 42 , 1507 – 1517 .