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Controllability of stochastic systems with random delay

✍ Scribed by A. N. V. Rao; C. T. Tsokos

Publisher: John Wiley and Sons
Year: 1980
Tongue: English
Weight: 266 KB
Volume: 96
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19800960113

No coin nor oath required. For personal study only.

✦ Synopsis

The object of the present paper is to study the stability behavior of a nonlinear stochastic differential system with random delay of the form i ( t ; (0) 2 / ( t , Z ( t ; CO), (0; u(t)) -1 d(t; UJ) @ ( Z ( ty ( t ; W ) ; CO)

where w E R, the supporting set of a probability measure space (Q, A , P), s ( t ; ( o ) in an 9a-dimensional random function; u(t) is tin m-dimensional control vector, A(t; W ) in an n x p matrix function tind @I in a p-dimensionzil random funrtion defined on RP Y R and y ( t ; OJ) is n random delay with ~( ( t ; w ) bring a p-dimensional observation vector defined a specific nay. Conditions are given that guarantee the existence of an admissible control u, under the influence of which the smiple paths of the stochastic system can be guided arbitrarily close to the origin with an assigned probtibility.

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