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Analytical technique and diverse chaos-identifying tools for the time fractional symmetric regularized long wave equation. [PDF]

Sci Rep
Ullah MS, Hasan MM, Mahbub MA.
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Multi-stage sliding mode control design with optimal state estimator for load frequency regulation in hybrid-source power systems. [PDF]

Sci Rep
Tran AT, Van Huynh V, Nguyen BL, Shim JW, Do TD.   +4 more
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Linear and Non-Linear Optimal Control Methods to Determine the Best Chemotherapy Schedule for Most Effectively Inhibiting Tumor Growth. [PDF]

Biomedicines
Liliopoulos SG, Stavrakakis GS, Dimas KS.   +2 more
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Indefinite Stochastic Riccati Equations

SIAM Journal on Control and Optimization, 2003
For 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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The Riccati Equation

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.
BITTANTI, SERGIO, A. J. LAUB, J. C. WILLEMS   +2 more
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Generalized Operator Riccati Equations

SIAM Journal on Mathematical Analysis, 1985
Summary: 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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The Periodic Riccati Equation

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, COLANERI, PATRIZIO, DE NICOLAO G.   +2 more
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Matrix Riccati Differential Equations

Journal of the Society for Industrial and Applied Mathematics, 1965
Chiellini [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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The Riccati Equation

1986
In this chapter we wish to apply approximation techniques to the study of one of the fundamental equations of mathematical analysis, the first order nonlinear ordinary differential equation.
Richard E. Bellman, Robert S. Roth
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Nonsymmetric Riccati equations: Partitioned algorithms

Computers & Electrical Engineering, 1978
Abstract Generalized partitioned solutions (GPS) of nonsymmetric matric Riccati equations are presented in terms of forward and backward time differential equations that are of theoretical interest and also are computationally powerful. The GPS are the natural framework for the effective change of initial conditions, and the transformation of ...
Lainiotis, D. G., Govindaraj, K. S., Andrisani, D. II.   +2 more
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