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Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces

Mabel Lizzy R., Balachandran K.

International Journal of Applied Mathematics and Computer Science

2018

Vol. 28, no. 1

123--133

Sufficient conditions for the controllability of nonlinear stochastic fractional boundary control systems are established. The equivalent integral equations are derived for both linear and nonlinear systems, and the control function is given in terms of the pseudoinverse operator. The Banach contraction mapping theorem is used to obtain the result. A controllability result for nonlinear stochastic fractional integrodifferential systems is also attained. Examples are included to illustrate the theory.

Analysis of integrodifferential control system with pulse-width modulated sampler on Banach spaces

Wang J.

Opuscula Mathematica

2012

Vol. 32, no. 1

179-197

This paper studies steady-state control and stability for a class of integrodifferential control system with pulse-width modulated sampler on Banach spaces. The existence and stability of the steady-state for the integrodifferential control system with pulse-width modulated sampler are given. An example is given to illustrate the theory.