Conjugate Times for Smooth Singular Trajectories and Bang-Bang Extremals

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Quadratic order conditions for bang-singular extremals

This paper deals with optimal control problems for systems affine in the control variable. We have nonnegativity constraints on the control, and finitely many equality and inequality constraints on the final state. First, we obtain second order necessary optimality conditions. Secondly, we get a second order sufficient condition for the scalar control case. The results use in an essential way t...

متن کامل

Bang - bang controls in the singular perturbations limit

A general form of the dynamics obtained as a limit of trajectories of singularly perturbed linear control systems is presented. The limit trajectories are described in terms of probability measure-valued maps. This allows to determine the extent to which the bang-bang principle for linear control systems is carried over to the singular limit.

متن کامل

On the Time-optimality of Bang-bang Trajectories in R

where ƒ and g are smooth vector fields. Admissible controls are arbitrary measurable functions with values in [—1,4-1] and a trajectory of the system corresponding to a control u( ) is an absolutely continuous curve such that x(t) — f{x(t)) + u(t)g(x(t)) holds almost everywhere. In every optimal control problem the question of regularity of the solutions comes up naturally. The standard existen...

متن کامل

On strong optimality of bang-bang Pontryagin extremals with multiple switches

This paper is an attempt to give sufficient conditions for a bang-bang extremal with multiple switches to be locally optimal in the strong topology. The conditions are the natural generalizations of the ones considered in [2, 3] and [4]. We require both the strict bang-bang Legendre condition, which takes a different form according to the multiplicity of the considered switching time, a non deg...

متن کامل

On Lipschitz Stable Switching Behavior of Bang-bang Extremals in Parametric Control

In the paper, we consider ODE driven optimal control problems with bang-bang type extremals. The specific nature of bang-bang controls causes some difficulties in optimality and stability analysis. Usual convexity arguments like (strong) Legendre-Clebsch condition fail to hold, and the control discontinuity has to be taken into account. In recent years, substantial results on secondorder optima...

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: IFAC Proceedings Volumes

سال: 2003

ISSN: 1474-6670

DOI: 10.1016/s1474-6670(17)38877-8