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Adsorption Kinetics: Classical, Fractal, or Fractional? [PDF]
Bakalis E, Zerbetto F.
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Neural methods for the solution of Equation Of algebraic Riccati and LQR
Fábio Augusto Rainer Dantas de Mello Silva
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A Novel Riccati Equation Grey Model And Its Application In Forecasting Clean Energy [PDF]
Huiming Duan
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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 ...
Hu, Ying, Zhou, Xun Yu
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1991
contributions by G. Ammar, T. Basar, R. Bitmead, S. Bittanti, F. M. C. Callier, P. Colaneri, G. De Nicolao, M. Gevers, V. Kucera, P. Lancaster, A. J. Laub, C.F. Martin, L. Rodman, M. A. Shayman, H. L. Trentelman, J. L. Willems, J.
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contributions by G. Ammar, T. Basar, R. Bitmead, S. Bittanti, F. M. C. Callier, P. Colaneri, G. De Nicolao, M. Gevers, V. Kucera, P. Lancaster, A. J. Laub, C.F. Martin, L. Rodman, M. A. Shayman, H. L. Trentelman, J. L. Willems, J.
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Generalized Operator Riccati Equations
SIAM Journal on Mathematical Analysis, 1985Summary: The Riccati equation \(dU/dt=AU+UB^*+UCU+D\) on the space \({\mathcal L}(X)\) of bounded linear operators on a reflexive Banach space X arises in control theory and transport theory. A more general problem is the following. Let A and B be closed linear operators in X and \(X^*\) respectively and let \({\mathcal F}\) be a map from [0,T)\(\times
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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].
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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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Matrix Riccati Differential Equations
Journal of the Society for Industrial and Applied Mathematics, 1965Chiellini [1] considered this system, and showed that knowledge of n solutions, not on the same (n 2) -flat, reduced the solution to quadratures (this generalizes (I)). In [2] it was shown that knowledge of k suitably independent solutions, 1 < k < n, reduces the solution to k quadratures and the solution of a matrix-vector linear homogeneous system of
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