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linear optimal control theory

Minimum Time Overtaking Problem of Vehicle Handling Inverse Dynamics Based on Two Kinds of Safe Distances

Minimum Time Overtaking Problem of Vehicle Handling Inverse Dynamics Based on Two Kinds of Safe Distances

... the optimal handling inverse problem by applying an optimal control theory and Pontryagin’s minimum principle, the results of which show that dif- ferent vehicle configurations have different ...

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Existence and Uniqueness of the Optimal Control in Hilbert Spaces for a Class of Linear Systems

Existence and Uniqueness of the Optimal Control in Hilbert Spaces for a Class of Linear Systems

... the optimal control for a class of exactly controllable linear sys- ...the control variables space U, are considered to be Hilbert ...The linear operator T(t) which defines the solution ...

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Optimal Preview Control for a Class of Linear Continuous Stochastic Control Systems in the Infinite Horizon

Optimal Preview Control for a Class of Linear Continuous Stochastic Control Systems in the Infinite Horizon

... preview control theory to improve the performance of the dynamic ...preview control theory is that in order to minimize the error between the reference signals and the controlled terms, not ...

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Optimal Control and Shape Design:  Theory and Applications

Optimal Control and Shape Design: Theory and Applications

... of control laws for linear ...a linear system with state-dependent ...nonlinear control laws is through the use of the state-dependent Riccati equation ...horizon optimal control ...

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Optimal control problems for hyperbolic equations with damping terms involving p Laplacian

Optimal control problems for hyperbolic equations with damping terms involving p Laplacian

... study optimal control problems for the hyperbolic hemivariational inequality ...the theory of Lions [] in which the optimal control problems are surveyed on many types of ...

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Constrained Calculus of Variations and Geometric Optimal Control Theory

Constrained Calculus of Variations and Geometric Optimal Control Theory

... Focussing attention on a single arc, we’ll first prove a sufficient condition for minimality. This will turn out to be intimately related to the solvability of a non–linear differential equation throughout the ...

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Reduced order based compensator control of thin film growth in a CVD reactor

Reduced order based compensator control of thin film growth in a CVD reactor

... and control theory to guide the construction and experimental implementation of a series of high pressure (up to 100 atm) organometallic chemical vapor deposition (CVD) ...that control and sensing ...

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Direct Transcription Methods in Optimal Control: Theory and Practice

Direct Transcription Methods in Optimal Control: Theory and Practice

... However, when we solve the same problem using SOCS on the same uniform grids (by overriding the grid refinement algorithm and telling SOCS to only use TR), we see in Table 2.3 that even though the resulting x values are ...

133

An optimal control theory approach to non pharmaceutical interventions

An optimal control theory approach to non pharmaceutical interventions

... the linear cost model appears to place more weight on death, thus implementing more control and saving more lives as shown in Table ...a linear model might result in over-control which would ...

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Wide Band Noises: Invariant Results

Wide Band Noises: Invariant Results

... the optimal filter and optimal control in the linear filtering and LQG problems on the base of the system and cost functional parameters A, B, C, M , N , H and the autocovariance function Λ of ...

5

Symbolic formulation and diffusive resolution of some operational problems: theory and applications to optimal control

Symbolic formulation and diffusive resolution of some operational problems: theory and applications to optimal control

... A substantial validation of this approach is provided through two examples of Lyapunov equations (issued from stabilization theory of the heat equation). In the case where the path θ go through the singularities ...

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An Uncertain Optimal Control Model with n Jumps and Application

An Uncertain Optimal Control Model with n Jumps and Application

... uncertain optimal control problem without jump based on the uncertainty theory in ...bang-bang optimal control problems for multi- stage and continuous time uncertain systems without ...

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Global Optimization for Solving Linear Non Quadratic Optimal Control Problems

Global Optimization for Solving Linear Non Quadratic Optimal Control Problems

... (4.7) By a traditional approach in the classical theory of ordinary differential equation, we see that the solution ( x t ˆ ( ) ( ) , λ t ) , t ∈ [ ] 0,  can be extended to [ ] 0,T . Then by (4.4), (4.3) we see ...

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Characterization of optimal feedback for stochastic linear quadratic control problems

Characterization of optimal feedback for stochastic linear quadratic control problems

... Remark 2.4 The same SLQ problems (as those in this paper) but in infinite dimen- sions still make sense. However, the new difficulty in the infinite dimensional setting is how to explain the stochastic integral 0 T (t)dW ...

20

Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method

Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method

... Optimal control problems arise in a wide variety of dis- ciplines. optimal control theory has also been used with great success in areas as diverse as economics to biome- dicine ...

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Optimal Control Theory and Linear Quadratic Regulators. Sham Kakade and Wen Sun CS 6789: Foundations of Reinforcement Learning

Optimal Control Theory and Linear Quadratic Regulators. Sham Kakade and Wen Sun CS 6789: Foundations of Reinforcement Learning

... Theorem: (for the finite horizon case , with time homogenous ) . The optimal policy is a linear controller specified by: [r] ...

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On Market Economies: How Controllable Constructs Become Complex

On Market Economies: How Controllable Constructs Become Complex

... This section examines two solution concepts in the theory of robust and optimal control of nonlinear systems based on the Hamilton-Jacobi Equations. These equations are a special case of the ...

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The Optics and Optimal Control Theory Interpretation of the Parametric Resonance

The Optics and Optimal Control Theory Interpretation of the Parametric Resonance

... the linear approximation and friction absence) at the argument going to ...resonance theory (presented in manuals) is reduced in fact to the determination of its onset condition at the modulation depth ...

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Communication-Cost-Constrained Algorithms and Games for Multi-Agent Control Systems.

Communication-Cost-Constrained Algorithms and Games for Multi-Agent Control Systems.

... We validate our algorithms using the example of wide-area control (WAC) of large-scale power system networks. In recent literature such as [7, 68], WAC has been shown to be very useful for suppressing ...

104

Duality in the optimal control of hyperbolic equations with positive controls

Duality in the optimal control of hyperbolic equations with positive controls

... the optimal control distributed ...the optimal control [2, 3, 4, 5]. Duality theory for the corresponding parabolic equa- tions with positive control has been given by Chan ...

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