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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Some Coefficients Method Of Solving Riccati Equation By Lie Group Symmetry
... the solution otherwise if Lie Point Symmetries not satisfied symmetry condition you will back to use other ways. But there are few relations between coefficients R(x), Q(x) and P(x) of the Riccati equation ...
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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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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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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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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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Analytical Solutions of the Riccati Equation with Coefficients Satisfying Integral or Differential Conditions with Arbitrary Functions
... the Riccati equation dy/dx = a(x) + b(x)y + c(x)y 2 are ...the Riccati equation, in the form of some integral or differential expressions, also involving some arbitrary ...the Riccati ...
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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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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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New Trace Bounds for the Product of Two Matrices and Their Applications in the Algebraic Riccati Equation
... By using singular value decomposition and majorization inequalities, we propose new inequalities for the trace of the product of two arbitrary real square matrices. These bounds improve and extend the recent results. ...
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Boundary Value Problem for an Operator Differential Riccati Equation in the Hilbert Space on the Interval
... Riccati equation plays an important role in the theory of optimal control, physics and many others ...considering equation was investigated in the finite- dimensional and in the infinite-dimensional ...
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Estimation of the Vehicle Sideslip Angle by Means of the State Dependent Riccati Equation Technique
... A state-dependent-Riccati-equation based Kalman filter has been proposed for the estimate of the vehicle sideslip angle. The estimator has been designed taking into account a single track vehicle model ...
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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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Unconditionally stable scheme for Riccati equation
... We have proposed a numerical scheme for the resolution of the matrix Riccati equa- tion. The scheme is implicit, unconditionnaly stable, needs to use only one scalar parameter and to solve a linear system of ...
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Differential inequalities and the matrix Riccati equation
... the Riccati equation, for which the existence of a maximal or minimal solution, at least in some transformed domain, arises naturally without the need for any controllability or normality conditions, ...
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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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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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Eigenvalues of stochastic Hamiltonian systems driven by Poisson process with boundary conditions
... The rest of this paper is organized as follows. In Section , we first recall the formula- tion of general FBSDEP and then formulate the eigenvalue problem for stochastic Hamil- tonian systems driven by Poisson process. ...
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