Time optimal control problem for differential inclusions
نویسندگان
چکیده
منابع مشابه
Exterior Sphere Condition and Time Optimal Control for Differential Inclusions
The minimum time function T (·) of smooth control systems is known to be locally semiconcave provided Petrov’s controllability condition is satisfied. Moreover, such a regularity holds up to the boundary of the target under an inner ball assumption. We generalize this analysis to differential inclusions, replacing the above hypotheses with the continuity of T (·) near the target, and an inner b...
متن کاملOptimal Control of Nonconvex Differential Inclusions
The paper deals· with dynamic optimization problems of the Bolza and Mayer types for evolution systems governed by nonconvex Lipschitzian differential inclusions in Banach spaces under endpoint constraints described by finitely many equalities and inequalities with generally nonsmooth functions. We develop a variational analysis of such problems mainly based on their discrete approximations and...
متن کاملOptimal Control of Delayed Differential-Algebraic Inclusions
This paper concerns constrained dynamic optimization problems governed by delayed differentialalgebraic systems. Dynamic constraints in such systems, which are particularly important for engineering applications, are described by interconnected delay-differential inclusions and algebraic equations. We pursue a two-hold goal: to study variational stability of such control systems with respect to...
متن کاملOptimal Control of Neutral Functional-Differential Inclusions
This paper deals with optimal control problems for dynamical systems governed by constrained functional-differential inclusions of neutral type. Such control systems contain time-delays not only in state variables but also in velocity variables, which make them essentially more complicated than delaydifferential (or differential-difference) inclusions. Our main goal is to derive necessary optim...
متن کاملOptimal Control of Unbounded Differential Inclusions
We consider a Mayer problem of optimal control, whose dynamic constraint is given by a convex-valued differential inclusion. Both state and endpoint constraints are involved. We prove necessary conditions incorporating the Hamiltonian inclusion, the Euler-Lagrange inclusion, and the WeierstrassPontryagin maximum condition. Our results weaken the hypotheses and strengthen the conclusions of earl...
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: Banach Center Publications
سال: 1976
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-1-1-33-38