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Analyzing the neural wave structures in the field of neuroscience. [PDF]
Younas U +4 more
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Computational study of thin films made from the ferroelectric materials with Paul Painlevé approach and expansion and variational methods. [PDF]
Shao R +5 more
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Bifurcation analysis and exploration of new optical soliton solutions in parabolic law medium with weak non-local nonlinearity. [PDF]
Ali KK +5 more
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Optical wave propagation in magneto-optic waveguides with generalized anti-cubic model. [PDF]
Baber MZ +4 more
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Synchronizations in Complex Systems Dynamics Through a Multifractal Procedure. [PDF]
Ghizdovat V +6 more
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Exact wave structures in magneto-optic soliton channels governed by Kudryashov-type coupled Schrödinger dynamics. [PDF]
Tarek A, Ahmed HM, Badra N, Samir I.
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Indefinite Stochastic Riccati Equations
SIAM Journal on Control and Optimization, 2003For some cases where \(R\), \(Q\), and \(H\) can be indefinite, theorems are proved which establish the existence of a unique bounded solution of the matrix stochastic Riccati equation (which arises in stochastic control) \[ \begin{aligned} dP= & \Biggl\{PA+ A'P+ \sum^k_{j=1} (\Lambda_j C_j+ C_j'\Lambda_j+ C_j' PC_j)+ Q\\ & -\Biggl[PB+ \sum^k_{j=1 ...
Ying Hu, Xun Yu Zhou
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1991
The history of the time-varying Riccati equation can be traced back to Riccati’s original manuscripts of 1715–1725. Indeed, the major concern of Count Riccati was to study the problem of the separation of variables in quadratic and time-varying scalar differential equations [1].
BITTANTI, SERGIO +2 more
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The history of the time-varying Riccati equation can be traced back to Riccati’s original manuscripts of 1715–1725. Indeed, the major concern of Count Riccati was to study the problem of the separation of variables in quadratic and time-varying scalar differential equations [1].
BITTANTI, SERGIO +2 more
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1995
Abstract This book provides a careful treatment of the theory of algebraic Riccati equations. It consists of four parts: the first part is a comprehensive account of necessary background material in matrix theory including careful accounts of recent developments involving indefinite scalar products and rational matrix functions.
Peter Lancaster, Leiba Rodman
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Abstract This book provides a careful treatment of the theory of algebraic Riccati equations. It consists of four parts: the first part is a comprehensive account of necessary background material in matrix theory including careful accounts of recent developments involving indefinite scalar products and rational matrix functions.
Peter Lancaster, Leiba Rodman
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On the Solvability of Extended Riccati Equations
IEEE Transactions on Automatic Control, 2004The Kalman-Yakubovich-Popov lemma, which gives necessary and sufficient conditions for solvability of matrix Lur'e-Riccati equations, is a milestone in modern control theory. There are, however, important and general extensions of this lemma that have not been studied yet.
Nikita E. Barabanov, Romeo Ortega
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