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Autore: | Kim A. V. |
Titolo: | Systems with delays : analysis, control, and computations / / A. V. Kim and A. V. Ivanov |
Pubblicazione: | Hoboken, New Jersey ; ; Salem, Massachusetts : , : Scrivener Publishing : , : Wiley, , 2015 |
©2015 | |
Descrizione fisica: | 1 online resource (180 p.) |
Disciplina: | 515/.35 |
Soggetto topico: | Delay differential equations |
Linear systems | |
Derivatives (Mathematics) | |
Persona (resp. second.): | IvanovA. V. |
Note generali: | Description based upon print version of record. |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | 2.2 Lyapunov-Krasovskii functionals2.2.1 Structure of Lyapunov-Krasovskii quadratic functionals; 2.2.2 Elementary functionals and their properties; 2.2.3 Total derivative of functionals with respect to systems with delays; 2.3 Positiveness of functionals; 2.3.1 Definitions; 2.3.2 Sufficient conditions of positiveness; 2.3.3 Positiveness of functionals; 2.4 Stability via Lyapunov-Krasovskii functionals; 2.4.1 Stability conditions in the norm || · || H; 2.4.2 Stability conditions in the norm || · ||; 2.4.3 Converse theorem; 2.4.4 Examples; 2.5 Coefficient conditions of stability |
2.5.1 Linear system with discrete delay2.5.2 Linear system with distributed delays; 3 Linear quadratic control; 3.1 Introduction; 3.2 Statement of the problem; 3.3 Explicit solutions of generalized Riccati equations; 3.3.1 Variant 1; 3.3.2 Variant 2; 3.3.3 Variant 3; 3.4 Solution of Exponential Matrix Equation; 3.4.1 Stationary solution method; 3.4.2 Gradient methods; 3.5 Design procedure; 3.5.1 Variants 1 and 2; 3.5.2 Variant 3; 3.6 Design case studies; 3.6.1 Example 1; 3.6.2 Example 2; 3.6.3 Example 3; 3.6.4 Example 4; 3.6.5 Example 5: Wind tunnel model | |
3.6.6 Example 6: Combustion stability in liquid propellant rocket motors4 Numerical methods; 4.1 Introduction; 4.2 Elementary one-step methods; 4.2.1 Euler'smethod; 4.2.2 Implicit methods (extrapolation); 4.2.3 Improved Euler'smethod; 4.2.4 Runge-Kutta-like methods; 4.3 Interpolation and extrapolation of the model pre-history; 4.3.1 Interpolational operators; 4.3.2 Extrapolational operators; 4.3.3 Interpolation-Extrapolation operator; 4.4 Explicit Runge-Kutta-like methods; 4.5 Approximation orders of ERK-like methods; 4.6 Automatic step size control; 4.6.1 Richardson extrapolation | |
4.6.2 Automatic step size control | |
Titolo autorizzato: | Systems with delays |
ISBN: | 1-119-11773-9 |
1-119-11784-4 | |
1-119-11772-0 | |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910812670503321 |
Lo trovi qui: | Univ. Federico II |
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