Abstract
This chapter focus is to show the application of the commutative algebra, algebraic geometry and differential algebra concepts to nonlinear control theory, it begins with necessary information of differential algebra, it continues with definitions of single-input single-output systems, invertible systems, realization and canonical forms, finally we present methods for stabilization of nonlinear systems throughout linearization by dynamical feedback and some examples of such processes.
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Martínez-Guerra, R., Martínez-Fuentes, O., Montesinos-García, J.J. (2019). Differential Algebra for Nonlinear Control Theory. In: Algebraic and Differential Methods for Nonlinear Control Theory. Mathematical and Analytical Techniques with Applications to Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-12025-2_10
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DOI: https://doi.org/10.1007/978-3-030-12025-2_10
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