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Analytic and algebraic properties of Riccati equations: A survey
Indagationes Mathematicae, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stabilizability,Observability and Detectability for Discrete Stochastic Systems
Journal of Measurement Science and Instrumentation, 2010 This paper mainly discusses stabilizatbility,exact observability and exact detectability of discrete stochastic systems with both static and control dependent noise via the spectrum technique.The authors put forward a definition of the spectrum and give ...
Meng LI, Hui-ying SUN, Min SANG
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Abstract and Applied Analysis, 2013 We consider the leader-following consensus problem of discrete-time multiagent systems on a directed communication topology. Two types of distributed observer-based consensus protocols are considered to solve such a problem. The observers involved in the
Bingbing Xu +3 more
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On algebraic Riccati equations associated with M -matrices
Linear Algebra and its Applications, 2013 We consider the algebraic Riccati equation for which the four coefficient matrices form an M-matrix K. When K is a nonsingular M-matrix or an irreducible singular M-matrix, the Riccati equation is known to have a minimal nonnegative solution and several efficient methods are available to find this solution. In this paper we are mainly interested in the
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Stabilizing Solution for a Discrete-Time Modified Algebraic Riccati Equation in Infinite Dimensions
Discrete Dynamics in Nature and Society, 2015 We provide necessary and sufficient conditions for the existence of stabilizing solutions for a class of modified algebraic discrete-time Riccati equations (MAREs) defined on ordered Banach spaces of sequences of linear and bounded operators. These MAREs
Viorica Mariela Ungureanu
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Abstract and Applied Analysis, 2013 We obtain the approximate analytical solution for the fractional quadratic Riccati differential equation with the Riemann-Liouville derivative by using the Bernstein polynomials (BPs) operational matrices.
Dumitru Baleanu +2 more
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A Riccati equation approach to construct new dispersive solitons to the Kaup-Newell equation [PDF]
Memoirs of the Scientific Sections of the Romanian Academy, 2020 The present paper examines analytically the Kaup-Newell equation, an important class of nonlinear Schrodinger equations with lots of applications in optical fibers. The Riccati equation approach is employed for the present study. The method is one of the
A. A. AL QARNI
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Consensus of High-Order Nonlinear Multiagent Systems with Constrained Switching Topologies
Complexity, 2017 The relationship between control and communication constraints is becoming of central importance in the consensus problem of networked agents. In this paper, we investigate such a problem for nonlinear multiagent systems with Lipschitz dynamics.
Junwei Wang, Kairui Chen, Yun Zhang
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A schur method for solving algebraic Riccati equations [PDF]
1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes, 1978 In this paper a new algorithm for solving algebraic Riccati equations (both continuous-time and discrete-time versions) is presented. The method studied is a variant of the classical eigenvector approach and uses instead an appropriate set of Schur vectors thereby gaining substantial numerical advantages. Complete proofs of the Schur approach are given
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Discrete-Time Indefinite Stochastic LQ Control via SDP and LMI Methods
Journal of Applied Mathematics, 2012 This paper studies a discrete-time stochastic LQ problem over an infinite time horizon with state-and control-dependent noises, whereas the weighting matrices in the cost function are allowed to be indefinite.
Shaowei Zhou, Weihai Zhang
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