SUFFICIENT CONDITIONS FOR OPTIMALITY IN DIFFERENTIAL INCLUSION UNDER STATE CONSTRAINTS

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Second Order Necessary and Sufficient Optimality Conditions under Abstract Constraints

In this paper we discuss second order optimality conditions in optimization problems subject to abstract constraints. Our analysis is based on various concepts of second order tangent sets and parametric duality. We introduce a condition, called second order regularity, under which there is no gap between the corresponding second order necessary and second order suucient conditions. We show tha...

متن کامل

Necessary Optimality Conditions for Nonconvex Diierential Inclusion with Endpoint Constraints

In this paper, we derive necessary optimality conditions for optimization problems deened by non-convex diierential inclusions with endpoint constraints. We do this in terms of parametrizations of the convexiied form of the diierential inclusion and, under additional assumptions, in terms of the inclusion itself.

متن کامل

Second Order Sufficient Optimality Conditions for Parabolic Optimal Control Problems with Pointwise State Constraints

In this paper we study optimal control problems governed by semilinear parabolic equations where the spatial dimension is two or three. Moreover, we consider pointwise constraints on the control and on the state. We formulate first order necessary and second order sufficient optimality conditions. We make use of recent results regarding elliptic regularity and apply the concept of maximal parab...

متن کامل

Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints

Abstract. Second-order sufficient optimality conditions are established for the optimal control of semilinear elliptic and parabolic equations with pointwise constraints on the control and the state. In contrast to former publications on this subject, the cone of critical directions is the smallest possible in the sense that the second-order sufficient conditions are the closest to the associat...

متن کامل

Sufficient Second-Order Optimality Conditions for a Parabolic Optimal Control Problem with Pointwise Control-State Constraints

An optimal control problem for a semilinear parabolic equation is investigated, where pointwise constraints are given on the control and the state. The state constraints are of mixed (bottleneck) type, where associated Lagrange multipliers can assumed to be bounded and measurable functions. Based on this property, a second-order sufficient optimality condition is established that considers stro...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Communications of the Korean Mathematical Society

سال: 2004

ISSN: 1225-1763

DOI: 10.4134/ckms.2004.19.3.557