Y Riccati equation
Integrability of doubly periodic Riccati equation
... This completes the proof The discussion of the particular doubly periodic Riccati equation 1 can be extended to a more general case, that is, for any Riccati equation with elliptic funct[r] ...
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Programmable Logic Controllers Based on the Algebraic Riccati Equation Solution
... This paper deals with the synthesis of a suboptimal controller, based on the solution of the algebraic Riccati equation (ARE). The numerical procedure for obtaining the solution is presented. In ...
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State-dependent Riccati equation control with predicted trajectory
... Difference Riccati Equation which is iterated backwards using available predictions of the system ...Algebraic Riccati Equation is first determined using the system model at time k + np , ...
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Application of Iterative Methods for Solving General Riccati Equation
... The Riccati differential equation is named after the Italian nobleman Count Jacopo Francesco Riccati ...of Riccati equation, with applications to random processes, optimal control, and ...
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Estimation of the Vehicle Sideslip Angle by Means of the State Dependent Riccati Equation Technique
... for the estimation of the vehicle sideslip angle. The approach is based on the State-Dependent-Riccati-Equation (SDRE) nonlinear filtering formulation. The SDRE techniques are recently emerging for optimal ...
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Boundary Value Problem for an Operator Differential Riccati Equation in the Hilbert Space on the Interval
... discrete Riccati equation was ...matrix Riccati equation with coefficients which are Arnold functions is ...and Riccati equations in the Hilbert ...
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New Trace Bounds for the Product of Two Matrices and Their Applications in the Algebraic Riccati Equation
... In this paper, we have proposed lower and upper bounds for the trace of the product of two arbitrary real matrices. We have showed that our bounds for the trace are the tightest among the parallel trace bounds in ...
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Approximate Riccati Equation and Its Application to Optimal Control in Discrete-Time Systems
... We consider the linear quadratic method and propose the notion of approximate linear quadratic method. In this paper, we especially consider the linear quadratic regulator problem. In the classical case of this problem, ...
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The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations
... Abstract In this paper, we establish new exact solutions for some complex nonlinear wave equations. The B¨ acklund transformation method of Riccati equation is used to construct exact solutions of the ...
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A New Analytical Method for Solving General Riccati Equation
... the Riccati equation has been studied by Mak and Harko and a new method to generate analytical solutions of the Riccati equation was presented ...an equation with separable ...
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Optimal Control Using State-dependent Riccati Equation (SDRE) for a Hydraulic Actuator
... applied to an asymmetric single-rod cylinder was presented. In this paper a SDRE-based control for a hydraulic actuator is proposed and applied to a hydraulic cylinder of a seismic test bench. The basic idea of the SDRE ...
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Analytical Solutions of the Riccati Equation with Coefficients Satisfying Integral or Differential Conditions with Arbitrary Functions
... Based on the above algorithm, we shall show the detailed calculations in obtaining Theorem 1 in Section 2.1, case 1. In order to make the paper readable and not to have similar calculations, we shall not present the ...
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Pick matrix conditions for sign definite solutions of the algebraic Riccati equation
... 6. Pick matrices and the algebraic Riccati equation. In this section we derive the main result of this paper, a characterization of all unmixed real symmetric solutions of the ARE in terms of the Pick ...
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Some Coefficients Method Of Solving Riccati Equation By Lie Group Symmetry
... the Riccati Equation by inspired guesswork, or geometric intuition, the steps used when solving all first order differential equations involve some assumptions and guesses of the form of symmetry for a ...
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Differential inequalities and the matrix Riccati equation
... The first task is to verify that this ordering does fulfil the requirements of Chapter 1, so the results of that chapter can be applied. It is then shown that the matrix Riccati equation is both of type K+ ...
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Unconditionally stable scheme for Riccati equation
... which defines the Riccati equation associated with the control problem (1) (2) (3) (4). • In this paper we study the numerical approximation of differential system (9) (10). Recall that the given matrices Q ...
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Complex oscillation of meromorphic solutions for difference Riccati equation
... ference Riccati equation (), and obtain some estimates of exponents of convergence of fixed points of f (z) and shifts f (z + n), differences f (z) = f (z + ) – f (z), and divided dif- ferences f f (z) (z) ...
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The zeros of difference of meromorphic solutions for the difference Riccati equation
... The zeros of difference of meromorphic solutions for the difference Riccati equation Peng and Chen Advances in Difference Equations (2015) 2015 365 DOI 10 1186/s13662 015 0668 3 R E S E A R C H Open A[.] ...
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Perturbation analysis of the stochastic algebraic Riccati equation
... This paper is organized as follows. In Section , a perturbation equation is derived from SAREs (a)-(b) and (a)-(b) without dropping any higher-order terms. By using Brouwer fixed point theorem, we obtain a ...
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Optimal Integral Sliding Mode Controller of a UAV With Considering Actuator Fault
... Dependent Riccati Equation (SDRE) method, we propose a Robust Optimal Integral Sliding Mode Controller (ROISMC) to guarantee an optimal control law for a quadrotor which has become increasingly important by ...
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