Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces

• Autorzy: Mabel Lizzy R. , Balachandran K.

Identyfikatory

DOI

10.2478/amcs-2018-0009

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

boundary controllability; stochastic fractional system; pseudoinverse; integrodifferential system

PL

sterowanie graniczne; układ ułamkowy; układ stochastyczny; macierz pseudoodwrotna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2018
• Tom: Vol. 28, no. 1
• Strony: 123--133
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Mabel Lizzy R.

• Department of Mathematics, Bharathiar University, Coimbatore 641 046, India

autor

Balachandran K.

• Department of Mathematics, Bharathiar University, Coimbatore 641 046, India

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).