Haut PDF Some results on the optimal control with unilateral state constraints
Some results on the optimal control with unilateral state constraints
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A SECOND-ORDER MAXIMUM PRINCIPLE IN OPTIMAL CONTROL UNDER STATE CONSTRAINTS
... first-order results and to inves- tigate second-order necessary optimality conditions using second-order ...In the context of optimal control theory this approach was applied in [17, 18] by ...
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Nonlinear H ∞ -control under unilateral constraints
... of the restitution rule is assumed at the collision time ...facilitate the exposition capabilities of the developed synthesis and its robustness features are first illustrated with a ...
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Nonlinear state feedback H-infinity-control of mechanical systems under unilateral constraints
... presents the hybrid model of interest subject to an unilateral constraint and the H ∞ -control problem is then ...of the problem in question to exist, and a state feedback con- ...
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Lipschitz solutions of optimal control problems with state constraints of arbitrary order
... Proving the Lipschitz continuity of the solution of an optimal control problem is of interest for obtaining error bounds for the discretization, see Dontchev and Hager ...in the ...
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On second order necessary conditions in infinite dimensional optimal control with state constraints
... to the constraints, see the exact definition of tangents in Section ...our results apply to optimal control problems involving some classes of PDEs, see [17], [18], [21] ...
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Error estimates for the Euler discretization of an optimal control problem with first-order state constraints
... of the paper. In Section 2 we introduce the problem and the assumptions adopted in the paper, and we state our main result (Theorem ...for the control, state, ...
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On some optimal control problems governed by a state equation with memory
... 2, the Cauchy problem is studied in details. Section 3 deals with the existence of optimal controls, the material of these sections is rather standard but is included for the ...
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Deterministic mean field games with control on the acceleration and state constraints
... then the graph of the multivalued map Γ opt : Θ Ñ Γ, px, vq ÞÑ Γ opt rx, vs is closed in the sense given in Proposition ...accurate results In dimension one and for a running cost quadratic in ...
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The Mayer and Minimum Time Problems with Stratified State Constraints *
... that the dynamics F is considered to be uppersemi-continuous on the set K whereas in [20] it is assumed to be Lipschitz ...continuous. The paper is organized as ...along with the ...
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Stability Analysis of Optimal Control Problems with a Second-order State Constraint
... stability results for state constraints of first-order have been obtained by Malanowski [18] and Dontchev and Hager ...[9]. The difficulty of pure state constraints is the ...
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Value function and optimal trajectories for a maximum running cost control problem with state constraints. Application to an abort landing problem.
... In the general case where the set of state constraints K is a non-empty closed subset of R d (K ( R d ), the value function is merely ...requires some assumptions that involve an ...
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Some Results on Reset Control systems
... contains the main results of this thesis, namely the study of reset control systems with magnitude limitation on the ...estimating the stability region and performance ...
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Nonlinear H_inf -Control of Mechanical Systems under Unilateral Constraints on the Position
... holds with some positive definite functions = : , > = 0, … , ? for all @ > 0 and ? ∈ ℤ such that C ≤ ...consistent with the notion of dissipativity introduced by Willems (1972) and Hill ...
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On some stochastic control problems with state constraints
... that the value function satisfies a special kind of nonlinear partial differ- ential equation called the Hamilton-Jacobi-Bellman (HJB) ...for optimal control problems set in a deterministic ...
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Direct and indirect methods in optimal control with state constraints and the climbing trajectory of an aircraft
... paper, the control problem of an aircraft in a climbing phase was modeled as a Mayer optimal control problem with two state constraints of order 1 and with affine ...
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Minimal controllability time for the heat equation under unilateral state or control constraints
... accordance with the convergence result given in § 5.3 of the minimal time for the discretized problem, to the minimal time of the continuous one, as N t and N x tend to +∞ ...
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Optimal control of a parabolic equation with time-dependent state constraints
... of the set of C ∞ functions over Q, (78) holds. The conclusion ...of the alternative formulation that is useful when for- mulating shooting algorithms; see Bonnans and Hermant [15] for related ...
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Optimal Control of Aerospace Systems with Control-State Constraints and Delays
... previously, the critical behavior coming out from applying indirect methods to (OCP) τ consists of the integration of mixed-type equations that arise from system ...(6.4). The convergence ...
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On the shooting algorithm for optimal control problems with state constraints
... extend the no-gap second-order optimality conditions and the characterization of the well-posedness of the shooting algorithm, obtained in [18, 21] and [19], respectively, for an ...
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