نتایج جستجو برای: riccati equation

تعداد نتایج: 230853  

Based on symbolic manipulation program Maple and using Riccati equation mapping method several explicit exact solutions including kink, soliton-like, periodic and rational solutions are obtained for (2+1)-dimensional variable coefficient Broer-Kaup system in quite a straightforward manner. The known solutions of Riccati equation are used to construct new solutions for variable coefficient Broer...

ژورنال: پژوهش های 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 discretized. The effect of performing this mathematical operation is obtained from an algebraic system of equations. To illustrate the benefits of the me...

2006
Augusto Ferrante Michele Pavon Stefano Pinzoni

In this paper, asymmetric Algebraic Riccati Equations are analyzed. We derive a new parametrization of the set of solutions, which may be viewed as alternative to the classical one based on Lagrangian subspaces of a “pseudo-Hamiltonian” matrix. Generalizing the symmetric case, the proposed parametrization is given in terms of pairs of invariant subspaces of two related “feedback” matrices. Exte...

Journal: :computational methods for differential equations 0
manjit singh yadavindra college of engineering, punjabi university guru kashi campus, talwandi sabo r.k. gupta central university of punjab, bathinda, punjab, india.

based on symbolic manipulation program maple and using riccati equation mapping method several explicit exact solutions including kink, soliton-like, periodic and rational solutions are obtained for (2+1)-dimensional variable coefficient broer--kaup system in quite a straightforward manner. the known solutions of riccati equation are used to construct new solutions for variable coefficient broe...

Journal: :SIAM J. Control and Optimization 2005
Pavel Bubák Cornelis V. M. van der Mee André C. M. Ran

This paper deals with two interrelated issues. One is an invariant subspace approach to finding solutions for the algebraic Riccati equation for a class of infinite dimensional systems. The second is approximation of the solution of the algebraic Riccati equation by finite dimensional approximants. The theory of exponentially dichotomous operators and bisemigroups is instrumental in our approach.

Journal: :Systems & Control Letters 2003
David J. Clements Harald K. Wimmer

A solution X of a discrete-time algebraic Riccati equation is called unmixed if the corresponding closed-loop matrix Φ(X) has the property that the common roots of det (sI−Φ(X)) and det (I− sΦ(X)∗) (if any) are on the unit circle. A necessary and sufficient condition is given for existence and uniqueness of an unmixed solution such that the eigenvalues of Φ(X) lie in a prescribed subset of C. A...

Journal: :Int. J. Control 2010
Jorge I. Sofrony Matthew C. Turner Ian Postlethwaite

This paper develops an anti-windup scheme for systems with rate-limited actuators. The main results show how a full-order anti-windup compensator can be synthesised using an algebraic Riccati equation and several free parameters. A further result then shows how the free parameters may be chosen to influence, in an intuitive way, the local L2 gain of the system and the size of the region of attr...

2011
JUAN ZHANG JIANZHOU LIU Juan Zhang Jianzhou Liu

In this paper, by constructing the equivalent form of the continuous algebraic Riccati equation (CARE) and applying some matrix inequalities, a new lower bounds solution of the CARE is proposed. Finally, corresponding numerical examples are provided to illustrate the effectiveness of the results.

1998
Reinaldo Martinez Palhares Luiz Cardoso de Oliveira Pedro Luis Dias Peres

In this paper, two di erent approaches to the H1 control by state feedback are related and discussed. The rst approach is based on the solvability of an algebraic Riccati equation and the second one explores the convexity of the set de ned by a matrix inequality. New insights are provided in order to establish the relationship between the set of stabilizing gains obtained from the two di erent ...

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