Stability of Nonlinear Control SystemsLefschetz Academic Press, 1 janv. 1965 - 149 pages Stability of Nonlinear Control Systems |
Table des matières
| 1 | |
| 5 | |
Chapter Two Indirect Controls | 17 |
Chapter Three Indirect Controls Continued | 27 |
Chapter Four Direct Controls Linearization Multiple Feedback | 39 |
Chapter Five Systems Represented by a Set of Equations of Higher Order | 61 |
Chapter Six Discontinuous Characteristics | 72 |
Chapter Seven Some Recent Results of V M Popov | 87 |
Chapter Eight Some Further Recent Contributions | 106 |
Chapter Nine Miscellaneous Complements | 128 |
An Application of Multiple Feedback Control | 139 |
An Example from the Theory of Nuclear Power Reactors | 142 |
| 144 | |
| 149 | |
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Expressions et termes fréquents
absolute stability admissible q asymptotically stable axis bºp(a change of coordinates chapter characteristic equation characteristic function characteristic root choose coefficients completely controllable components condition for absolute constant coordinate vector corresponding critical point d'CT defined definite quadratic form denote diag(A1 direct discontinuous equivalent expression finite follows function q)(a function V(x fundamental system Hence hermitian hermitian forms hermitian matrix holds hyperplane implies inequality F Jordan normal form Kalman LaSalle and Lefschetz lemma Liapunov function linear system Lurie n x n matrix nonsingular notations obtained origin oxyc pair parameters path pºp(a Popov's first theorem Popov's second theorem positive definite quadratic problem proved reduces Referring replace requires satisfied scalar ſº SOLOMON LEFSCHETZ stable matrix sufficient condition switching line theory transformation of coordinates unique solution variables vector x'Bx x'Cx Yacubovich yields zero