Results 11 to 20 of about 28,358 (207)

Transform of Riccati equation of constant coefficients through fractional procedure [PDF]

open access: yes, 2003
We use a particular fractional generalization of the ordinary differential equations that we apply to the Riccati equation of constant coefficients. By this means the latter is transformed into a modified Riccati equation with the free term expressed as ...
A L Madue o   +8 more
core   +2 more sources

Asymptotic properties of solutions of Riccati matrix equations and inequalities for discrete symplectic systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
In this paper we study the asymptotic properties of the distinguished solutions of Riccati matrix equations and inequalities for discrete symplectic systems.
Roman Simon Hilscher
doaj   +1 more source

On the Use of Low-Order Riccati-Equations in the Design of a Class of Feedback Controllers and State Estimators [PDF]

open access: yesModeling, Identification and Control, 1980
This paper describes a method for designing optimal feedback controllers with stability requirements using low-order Riccati equations. For originally stable systems the Riccati equation will be of first or second order, depending upon whether the ...
Ole A. Solheim
doaj   +1 more source

Generalized System of Riccati-Type Equations

open access: yesEPJ Web of Conferences, 2018
A new system of generalized Riccati-type equations is derived. An interconnection between the solutions of n-th order differential equations and the solutions of a generalized system of Riccati-type equations is established.
Yamaleev Robert M.
doaj   +1 more source

An exponential spline for solving the fractional riccati differential equation

open access: yesپژوهش‌های ریاضی, 2022
In this Article, proposes an approximation for the solution of the Riccati equation based on the use of exponential spline functions. Then the exponential spline equations are obtained and the differential equation of the fractional Riccati is ...
reza jalilian, hooman emadifar
doaj  

Sine-cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations

open access: yesAdvances in Difference Equations, 2017
In this paper, the sine-cosine wavelet method is presented for solving Riccati differential equations. The sine-cosine wavelet operational matrix of fractional integration is derived and utilized to transform the equations to system of algebraic ...
Yanxin Wang, Tianhe Yin, Li Zhu
doaj   +1 more source

New Schemes for Positive Real Truncation [PDF]

open access: yesModeling, Identification and Control, 2007
Model reduction, based on balanced truncation, of stable and of positive real systems are considered. An overview over some of the already existing techniques are given: Lyapunov balancing and stochastic balancing, which includes Riccati balancing.
Kari Unneland   +2 more
doaj   +1 more source

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

open access: yesBoundary Value Problems, 2010
We used what we called extended Fan's sub-equation method and a new compound Riccati equations rational expansion method to construct the exact travelling wave solutions of the Davey-Stewartson (DS) equations.
Hassan Zedan
doaj   +1 more source

Traveling wave structures of some fourth-order nonlinear partial differential equations

open access: yesJournal of Ocean Engineering and Science, 2023
This study presents a large family of the traveling wave solutions to the two fourth-order nonlinear partial differential equations utilizing the Riccati-Bernoulli sub-ODE method.
Handenur Esen   +3 more
doaj   +1 more source

An example of interplay between Physics and Mathematics: Exact resolution of a new class of Riccati Equations

open access: yes, 2017
A novel recipe for exactly solving in finite terms a class of special differential Riccati equations is reported. Our procedure is entirely based on a successful resolution strategy quite recently applied to quantum dynamical time-dependent SU(2 ...
Grimaudo, R.   +3 more
core   +1 more source

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