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Equivalence of the Modified e-Dependent Riccati Equations

Riccati Equations and Delay Dependent BIBO Stabilization of Stochastic Systems with Mixed Delays and Nonlinear Perturbations

Riccati Equations and Delay Dependent BIBO Stabilization of Stochastic Systems with Mixed Delays and Nonlinear Perturbations

... on Riccati-equations, by constructing appropriate Lyapunov functions, some BIBO stabilization criteria for a class of delayed control systems with nonlinear perturbations were ...

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A modified generalized projective Riccati equation method

A modified generalized projective Riccati equation method

... 2 Department of Mathematics, College of Science, King Abdulaziz University, Jaddah, KSA [email protected] ABSTRACT A modification of the generalized projective Riccati equation method is proposed to treat some ...

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Nonlinear Orbital Dynamic Equations and State- Dependent Riccati Equation Control of Formation Flying Satellites 1

Nonlinear Orbital Dynamic Equations and State- Dependent Riccati Equation Control of Formation Flying Satellites 1

... Multiple spacecraft formation flying is one of the key technologies of current and future space missions. The National Aeronautical and Space Administration's Earth Observing-1 satellite demonstrated formation flying ...

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Yaw Angle Tracking Control Design of Underactuated AUV By Using State Dependent Riccati Equations (SDRE)-LQT

Yaw Angle Tracking Control Design of Underactuated AUV By Using State Dependent Riccati Equations (SDRE)-LQT

... Prodi Teknik Elektro, Universitas Nurul Jadid, Probolinggo, Indonesia [email protected] Abstract. In realizing yaw angle control tracking on AUV, the use of the State Dependent Riccati ...

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State-dependent Riccati equation control with predicted trajectory

State-dependent Riccati equation control with predicted trajectory

... State-Dependent Riccati Equation Control with Predicted Trajectory ...A modified State-Dependent Riccati Equation method is used which takes into account future variations in the system ...

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Multiscale differential riccati equations for linear quadratic regulator problems

Multiscale differential riccati equations for linear quadratic regulator problems

... 8.4. Algebraic Riccati equations. The latter fact is even more relevant if one considers AREs. These are the stationary counterpoints to the time-dependent DREs and arise when the final time T in the ...

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Linearized Riccati Technique and (Non )Oscillation Criteria for Half Linear Difference Equations

Linearized Riccati Technique and (Non )Oscillation Criteria for Half Linear Difference Equations

... with q p/p − 1 being the conjugate number of p, and with a certain distinguished solution h of 1.7. This enables to apply the deeply developed linear oscillation theory when investi- gating oscillations of half-linear ...

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Applications of the New Compound Riccati Equations Rational Expansion Method and Fan's Subequation Method for the Davey-Stewartson Equations

Applications of the New Compound Riccati Equations Rational Expansion Method and Fan's Subequation Method for the Davey-Stewartson Equations

... the modified extended tanh-function method, and the F-expansion method belong to a class of methods called subequation methods for which they appear some basic relationships among the complicated NLPDEs under ...

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Estimation of the Vehicle Sideslip Angle by Means of the State Dependent Riccati Equation Technique

Estimation of the Vehicle Sideslip Angle by Means of the State Dependent Riccati Equation Technique

... Fig. 1. Reference frames and vehicle model. The distances from the front and rear axle to the centre of gravity are represented by a and b, respectively. The steering wheel angle of the front tyres is denoted by δ, while ...

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Riccati Techniques, Discrete Oscillation and Conjugacy Criteria for Fourth Order Nonlinear Difference Equations

Riccati Techniques, Discrete Oscillation and Conjugacy Criteria for Fourth Order Nonlinear Difference Equations

... the Riccati Technique in the Oscillatory theory that is based on the equivalence between a non oscillatory and a solvability of the generalized Riccati difference ...

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Research Article On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative

Research Article On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative

... fractional Riccati di fferential ...these equations. The behavior of the solutions and the e ffects of different values of fractional order α are indicated ...differential equations with ...

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State Dependent Riccati Equation based Nonlinear Controller Design for Ball and Beam System

State Dependent Riccati Equation based Nonlinear Controller Design for Ball and Beam System

... on modified State Dependent Riccati Equation algorithm, has been proposed for trajectory tracking of ball and beam ...state dependent coefficient ...State dependent coefficient matrices ...

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Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation

Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation

... differential equations (PDEs) in nonlinear ...these equations will help us to understand these phenomena bet- ...the modified simple equation method ...

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Linear and Riccati matrix equations

Linear and Riccati matrix equations

... In this paper we find exact solutions for linear ordinary differential equa- tions of any order when they are given in matrix form, as well as for classes of Riccati matrix equations wit[r] ...

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On solutions of fractional Riccati differential equations

On solutions of fractional Riccati differential equations

... Full list of author information is available at the end of the article Abstract We apply an iterative reproducing kernel Hilbert space method to get the solutions of fractional Riccati differential ...

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Improving the Accuracy of the Solutions of
 Riccati Equations

Improving the Accuracy of the Solutions of Riccati Equations

... the Riccati equation by the homo- topy perturbation method [1], the iterated He’s homotopy perturbation method [2] and He’s variational iteration method [3] while these methods have acceptable accuracy in the ...

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Equivalence Problem of the Painlevé Equations

Equivalence Problem of the Painlevé Equations

... the equivalence problem of the Painlevé ...differential equations y    F x y y  , ,   to be equivalent to the first and second Painlevé equation under a general point transformation are ...

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An Arnoldi based algorithm for large algebraic Riccati equations

An Arnoldi based algorithm for large algebraic Riccati equations

... Received 13 June 2005; accepted 7 July 2005 Abstract In the present work, we present a numerical method for the computation of approximate solutions for large continuous-time algebraic Riccati equations. ...

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Singular Riccati equations stabilizing large-scale systems

Singular Riccati equations stabilizing large-scale systems

... invertible ⇐⇒ Y − P 0 X invertible. (12) Notice that if X is invertible, then P ¯s :=Y X −1 is the anti-stabilizing solution of the algebraic Riccati equation, and then V is invertible iff P ¯s − P 0 is ...

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Riccati equations for strongly stabilizable bounded linear systems

Riccati equations for strongly stabilizable bounded linear systems

... to Riccati equations for innite-dimensional systems that are strongly, but not exponentially ...a Riccati criterion for the existence of J-spectral factorizations and illustrate it by proving the ...

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