MEAN-SQUARE STABILITY OF NONLINEAR SYSTEMS WITH TIME-VARYING, RANDOM DELAY

REFERENCES

• 1996 . Bosch Automotive Handbook , 4th Edn. Horst Bauer : published by Robert Bosch, Editor in Chief .
   Google Scholar
• Nillson , J. 1996 . Analysis and Design of Real-Time Systems with Random Delays , Licentiate Thesis Department of Automatic Control, Lund Institute of Technology .
   Google Scholar
• Nillson , J. , Bernhardsson , B. and Wittenmark , B. 1996 . “ Stochastic Analysis and Control of Real-Time Systems with Random Time Delays ” . In Proceedings of the 13th International Federation of Automatic Control (IFAC) World Congress
   Google Scholar
• Chan , H. and Ozguner , U. 1995 . Closed-Loop Control of Systems over a Communications Network with Queues . Int. J. Control , 62 : 493 – 510 .
   Web of Science ®Google Scholar
• Henriksson , T. and Nielsen , L. 1998 . “ Modeling Effects due to Varying Command Signal Timing ” . In Proceedings of the 2nd IFAC Workshop on Advances in Automotive Control 175 – 182 . Mohican State Park , OH
   Google Scholar
• Krtolica , R. , Ozguner , U. , Chan , H. , Goktas , H. , Winkelman , J. and Liubakka , M. 1994 . Stability of Linear Feedback Systems with Random Communication Delays . Int. J. Control , 59 : 925 – 953 .
   Web of Science ®Google Scholar
• Liou , L.-W. and Ray , A. 1991 . A Stochastic Regulator for Integrated Communication and Control Systems: Part I—Formulation of Control Law . Trans. ASME: J. Dyn. Syst. Meas. Control , 113 : 604 – 611 .
   Web of Science ®Google Scholar
• Kats , I. 1967 . On the Stability of Systems with Random Delay in the First Approximation. Prikladnaya Matematika i Mekhanika (P.M.M.) . Translated as J. Appl. Math. Mech. , 31 : 447 – 452 .
   Google Scholar
• Lidskii , E. A. 1965 . On Stability of Motion of a System with Random Delays. Differential'nye Uravnenia . translated as Differential Equations , 1 : 96 – 101 .
   Google Scholar
• Gikhman , I. I. and Skorohod , A. B. 1968 . Stochastic Differential Equations Kiev : Naukova Dumka . in Russian
   Google Scholar
• Feller , W. 1957 . An Introduction to Probability Theory and Its Applications , 2nd Edn. New York : John Wiley and Sons .
   Google Scholar
• Bharucha-Reid , A. T. 1997 . Elements of the Theory of Markov Processes and Their Applications New York : Dover .
   Google Scholar
• Dynkin , E. B. 1961 . Theory of Markov Processes Englewood Cliffs , NJ : Prentice-Hall .
   Google Scholar
• Katz , I. Ya. and Krasovskii , N. N. 1960 . On Stability of Systems with Random Parameters. Prikladnaya Matematika i Mekhanika (P.M.M.) . Translated as J. Appl. Math. Mech. , 24 : 447 – 452 .
   Google Scholar
• Kolmanovskii , V. B. and Nosov , V. R. 1981 . Stability and Periodic Regimes of Controlled Systems with Delay Moscow : Nauka . in Russian
   Google Scholar
• Kolmanovskii , V. B. and Myskis , A. D. 1999 . Introduction to the Theory and Applications of Functional Differential Equations Dordrecht : Kluwer Academic Publishers .
   Google Scholar
• Ray , A. 1994 . Output Feedback Control under Randomly Varying Distributed Delays . J. Guidance Control Dyn. , 17 : 701 – 711 .
   Web of Science ®Google Scholar