Lower Bounds for the Trace of the Solution of the Discrete Algebraic Riccati Equation
نویسندگان
چکیده
In this note, we first give necessary and sufficient conditionsfor the Hunvitz stability of the family A of polynomials 6(s) = Pm,_(s),where the polynomials F i ( s ) are fixed; and the polynomials Manuscript received July 20, 1990; revised April 18, 1991, and October4. 1991. This work was supportcd by the National Science Foundationunder Grants ECS-8914357, ECS-8613315, and ECS-9111058.H. Chapellat is with the Etude et Productions Schlumberger, 26, ruede la Cavee, 92140 Clamart, France.M. Dahleh is with the Department o f Mechanical and EnvironmentalEngineering, University of California, Santa Barbara, CA 93 106.S. P. Bhattacharyya, is with the Department of Electrical Engineering,Texas A & M University, College Station, TX 77843.IEEE Log Number 9203103.F , ( s ) P , , ( s ) P , , ( s ) . * . P , , (SI + ... + F,(S)P,,(S)P,,(S)* . * 0018-9286/93$03.00
منابع مشابه
Lower bounds on the solution of coupled algebraic Riccati equation
Upper bounds for eigenvalues of a solution to continuous time coupled algebraic Riccati equation (CCARE) and discrete time coupled algebraic Riccati equation (DCARE) are developed as special cases of bounds for the uni...ed coupled algebraic Riccati equation (UCARE). They include bounds of the maximal eigenvalues, the sums of the eigenvalues and the trace.
متن کاملAnalytical and Verified Numerical Results Concerning Interval Continuous-time Algebraic Riccati Equations
This paper focuses on studying the interval continuous-time algebraic Riccati equation A∗X + XA + Q − XGX = 0, both from the theoretical aspects and the computational ones. In theoretical parts, we show that Shary’s results for interval linear systems can only be partially generalized to this interval Riccati matrix equation. We then derive an efficient technique for enclosing the united stable...
متن کاملEla New Lower Solution Bounds for the Continuous Algebraic Riccati Equation
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.
متن کاملOptimal integrated passive/active design of the suspension system using iteration on the Lyapunov equations
In this paper, an iterative technique is proposed to solve linear integrated active/passive design problems. The optimality of active and passive parts leads to the nonlinear algebraic Riccati equation due to the active parameters and some associated additional Lyapunov equations due to the passive parameters. Rather than the solution of the nonlinear algebraic Riccati equation, it is proposed ...
متن کاملNew lower solution bounds for the continuous algebraic Riccati equation
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.
متن کاملBackward Perturbation Analysis of the Periodic Discrete-Time Algebraic Riccati Equation
Normwise backward errors and residual bounds for an approximate Hermitian positive semidefinite solution set to the periodic discrete-time algebraic Riccati equation are obtained. The results are illustrated by using simple numerical examples.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1992