On the Asymptotically Stability with Respect to Probability via Stochastic Matrix-valued Lyapunov Systems

Authors

  • Ebiendele E. Peter Department of Mathematics and APPLIED Sciences, FEDERAL POLYTECHNIC AUCHI EDO STATE, SOUTH-WEST
  • Okodugha Edward Department of Mathematics and APPLIED Sciences, FEDERAL POLYTECHNIC AUCHI EDO STATE, SOUTH-WEST

Keywords:

Stability, Asymptotically, Lyapunov matrix-valued function. Stochastic probability, control systems

Abstract

In this paper, we study the stability to system in Kats-Krasovskii   form, in terms of the stochastic Matrix-valued function. π(t,x,y) constructed  for system dx/dt = f(t,x,y(t) ) x(t0 )=x 0,y(t0 )=y0 and use the Lyapunov matrix-valued  function to established the necessary and sufficient conditions that guarantees the asymptotically stability of the control systems.

References

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Published

2013-12-27

How to Cite

Peter, E. E., & Edward, O. (2013). On the Asymptotically Stability with Respect to Probability via Stochastic Matrix-valued Lyapunov Systems. Asian Journal of Fuzzy and Applied Mathematics, 1(4). Retrieved from https://ajouronline.com/index.php/AJFAM/article/view/743

Issue

Vol. 1 No. 4 (2013): December 2013

Section

Articles

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