Control Systems Described by a Class of Fractional Semilinear Evolution Equations and Their Relaxation Property | Zendy

Xiaoyou Liu | Zendy; Xi Fu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Control Systems Described by a Class of Fractional Semilinear Evolution Equations and Their Relaxation Property

Author(s) -

Xiaoyou Liu,

Xi Fu

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/850529

Subject(s) - mathematics , banach space , separable space , regular polygon , constraint (computer aided design) , property (philosophy) , regularization (linguistics) , class (philosophy) , relaxation (psychology) , pure mathematics , mathematical analysis , geometry , computer science , psychology , social psychology , philosophy , epistemology , artificial intelligence

We consider a control system described by a class of fractional semilinear evolution equations in a separable reflexive Banach space. The constraint on the control is a multivalued map with nonconvex values which is lower semicontinuous with respect to the state variable. Along with the original system we also consider the system in which the constraint on the control is the upper semicontinuous convex-valued regularization of the original constraint. We obtain the existence results for the control systems and the relaxation property between thesolution sets of these systems

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research