Nonlinear control synthesis by convex optimization

A stability criterion for nonlinear systems, recently derived by the third author, can be viewed as a dual to Lyapunov's second theorem. The criterion is stated in terms of a function which can be interpreted as the stationary density of a substance that is generated all over the state-space an...

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Veröffentlicht in:	IEEE transactions on automatic control 2004-02, Vol.49 (2), p.310-314
Hauptverfasser:	Prajna, S., Parrilo, P.A., Rantzer, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Automatic control Computer science control theory systems Control Engineering Control system synthesis Control theory. Systems Criteria Density Density functions Dynamical systems Electrical Engineering, Electronic Engineering, Information Engineering Elektroteknik och elektronik Engineering and Technology Exact sciences and technology Functional programming Linear matrix inequalities Lyapunov method Mathematical analysis nonlinear control Nonlinear control systems Nonlinear systems Numerical analysis Optimization Optimization methods Polynomials Reglerteknik semidefinite programming relaxation Stability Stability criteria sum of squares decomposition Synthesis Teknik
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