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2014•Unpublished venueOpen access

Differential Equations, Discrete Systems and Control: Economic Models

Aristide Halanay, Judita Samuel

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Abstract

Preface. About the Notations. Introduction.1. Linear and Affine Differential Equations. Equations with Separated Variables. 2. Linear Differential Equations with Constant Coefficients. 3. Linear Systems with Constant Coefficients. 4. General Theory of Nonlinear Systems. Stability. 5. Numerical Solution of Differential Equations. 6. Control Systems. Stabilization of Linear Systems. 7. Optimal Stabilization. 8. Linear-Quadratic Optimization on Finite Horizon. 9. Some Unconstrained Dynamic Optimization Problems. 10. General Problem of Optimal Control. References. Index.

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What this paper is about

Preface. About the Notations. Introduction.1. Linear and Affine Differential Equations. Equations with Separated Variables. 2. Linear Differential Equations with Constant Coefficients. 3. Linear Systems with Constant Coefficients. 4. General Theory of Nonlinear Systems. Stability. 5. Numerical Solution of Differential Equations. 6. Control Systems. Stabilization of Linear Systems. 7. Optimal Stabilization. 8. Linear-Quadratic Optimization on Finite Horizon. 9. Some Unconstrained Dynamic Optimization Problems. 10. General Problem of Optimal Control. References. Index.

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Available abstract

Preface. About the Notations. Introduction.1. Linear and Affine Differential Equations. Equations with Separated Variables. 2. Linear Differential Equations with Constant Coefficients. 3. Linear Systems with Constant Coefficients. 4. General Theory of Nonlinear Systems. Stability. 5. Numerical Solution of Differential Equations. 6. Control Systems. Stabilization of Linear Systems. 7. Optimal Stabilization. 8. Linear-Quadratic Optimization on Finite Horizon. 9. Some Unconstrained Dynamic Optimization Problems. 10. General Problem of Optimal Control. References. Index.

Key concepts: Mathematics, Constant coefficients, Constant (computer programming), Nonlinear system, Differential equation, Applied mathematics, Linear system, Optimal control

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