Attainable sets in systems with unbounded controls
نویسندگان
چکیده
منابع مشابه
On the Continuity Properties of the Attainable Sets of Nonlinear Control Systems with Integral Constraint on Controls
The attainable sets of the nonlinear control systems with integral constraint on the control functions are considered. It is assumed that the behavior of control system is described by a differential equation which is nonlinear with respect to phase-state vector and control vector. The admissible control functions are chosen from the closed ball centered at the origin with radius μ0 in Lp t0, θ...
متن کاملOn the Attainable Set for Temple Class Systems with Boundary Controls
Consider the initial-boundary value problem for a strictly hyperbolic, genuinely nonlinear, Temple class system of conservation laws ut + f(u)x = 0, u(0, x) = u(x), u(t, a) = ũa(t), u(t, b) = ũb(t), (1) on the domain Ω = {(t, x) ∈ R : t ≥ 0, a ≤ x ≤ b}. We study the mixed problem (1) from the point of view of control theory, taking the initial data u fixed, and regarding the boundary data...
متن کاملMulti-objective Optimization with Unbounded Solution Sets
Machine learning often requires the optimization of multiple, partially conflicting objectives. True multi-objective optimization (MOO) methods avoid the need to choose a weighting of the objectives a priori and provide insights about the tradeoffs between the objectives. We extend a state-of-the-art derivative-free Monte Carlo method for MOO, the MO-CMA-ES, to operate on an unbounded set of (n...
متن کاملNonlinear Programs with Unbounded Lagrange Multiplier Sets
We investigate nonlinear programs that have a nonempty but possibly unbounded Lagrange multiplier set and that satisfy the quadraticgrowth condition. We show that such programs can be transformed, by relaxing the constraints and adding a linear penalty term to the objective function, into equivalent nonlinear programs that have diierentiable data and a bounded Lagrange multiplier set and that s...
متن کاملOn Attainable Set and Controllability for Abstract Control Problem with Unbounded Input Operator
For linear evolution control system described by ẋ = Ax(t) + Bu(t), x(0) = x0 (A generates a strongly continuous semigroup {S(t)}t≥0 on a Banach space X; B is a linear unbounded operator), the attainable set K (t) set is studied. Conditions of the independence of t for its closure K(t) are established. Controllability conditions for some classes of evolution systems are obtained.
متن کاملذخیره 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: Journal of Differential Equations
سال: 1968
ISSN: 0022-0396
DOI: 10.1016/0022-0396(68)90027-2