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Stability of stationary sets in control systems with discontinuous nonlinearities [[electronic resource] /] / V.A. Yakubovich, G.A. Leonov, A. Kh. Gelig
| Stability of stationary sets in control systems with discontinuous nonlinearities [[electronic resource] /] / V.A. Yakubovich, G.A. Leonov, A. Kh. Gelig |
| Autore | I͡Akubovich V. A (Vladimir Andreevich) |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 629.836 |
| Altri autori (Persone) |
LeonovG. A (Gennadiĭ Alekseevich)
GeligArkadiĭ Khaĭmovich |
| Collana | Series on stability, vibration, and control of systems. Series A |
| Soggetto topico |
Control theory
Nonlinear control theory Set theory System analysis Differential equations, Nonlinear Engineering mathematics Engineering systems |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-93440-2
9786611934408 981-279-423-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; List of Notations ; 1. Foundations of Theory of Differential Equations with Discontinuous Right-Hand Sides ; 1.1 Notion of Solution to Differential Equation with Discontinuous Right-Hand Side
1.1.1 Difficulties encountered in the definition of a solution. Sliding modes 1.1.2 The concept of a solution of a system with discontinuous nonlinearities accepted in this book. Connection with the theory of differential equations with multiple-valued right-hand sides 1.1.3 Relation to some other definitions of a solution to a system with discontinuous right-hand side 1.1.4 Sliding modes. Extended nonlinearity. Example ; 1.2 Systems of Differential Equations with Multiple-Valued Right-Hand Sides (Differential Inclusions) 1.2.1 Concept of a solution of a system of differential equations with a multivalued right-hand side the local existence theorem the theorems on continuation of solutions and continuous dependence on initial values 1.2.2 ""Extended"" nonlinearities ; 1.2.3 Sliding modes 1.3 Dichotomy and Stability 1.3.1 Basic definitions ; 1.3.2 Lyapunov-type lemmas ; 2. Auxiliary Algebraic Statements on Solutions of Matrix Inequalities of a Special Type 2.1 Algebraic Problems that Occur when Finding Conditions for the Existence of Lyapunov Functions from Some Multiparameter Functional Class. Circle Criterion. Popov Criterion |
| Record Nr. | UNINA-9910454324803321 |
I͡Akubovich V. A (Vladimir Andreevich)
|
||
| River Edge, NJ, : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Stability of stationary sets in control systems with discontinuous nonlinearities [[electronic resource] /] / V.A. Yakubovich, G.A. Leonov, A. Kh. Gelig
| Stability of stationary sets in control systems with discontinuous nonlinearities [[electronic resource] /] / V.A. Yakubovich, G.A. Leonov, A. Kh. Gelig |
| Autore | I͡Akubovich V. A (Vladimir Andreevich) |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 629.836 |
| Altri autori (Persone) |
LeonovG. A (Gennadiĭ Alekseevich)
GeligArkadiĭ Khaĭmovich |
| Collana | Series on stability, vibration, and control of systems. Series A |
| Soggetto topico |
Control theory
Nonlinear control theory Set theory System analysis Differential equations, Nonlinear Engineering mathematics Engineering systems |
| ISBN |
1-281-93440-2
9786611934408 981-279-423-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; List of Notations ; 1. Foundations of Theory of Differential Equations with Discontinuous Right-Hand Sides ; 1.1 Notion of Solution to Differential Equation with Discontinuous Right-Hand Side
1.1.1 Difficulties encountered in the definition of a solution. Sliding modes 1.1.2 The concept of a solution of a system with discontinuous nonlinearities accepted in this book. Connection with the theory of differential equations with multiple-valued right-hand sides 1.1.3 Relation to some other definitions of a solution to a system with discontinuous right-hand side 1.1.4 Sliding modes. Extended nonlinearity. Example ; 1.2 Systems of Differential Equations with Multiple-Valued Right-Hand Sides (Differential Inclusions) 1.2.1 Concept of a solution of a system of differential equations with a multivalued right-hand side the local existence theorem the theorems on continuation of solutions and continuous dependence on initial values 1.2.2 ""Extended"" nonlinearities ; 1.2.3 Sliding modes 1.3 Dichotomy and Stability 1.3.1 Basic definitions ; 1.3.2 Lyapunov-type lemmas ; 2. Auxiliary Algebraic Statements on Solutions of Matrix Inequalities of a Special Type 2.1 Algebraic Problems that Occur when Finding Conditions for the Existence of Lyapunov Functions from Some Multiparameter Functional Class. Circle Criterion. Popov Criterion |
| Record Nr. | UNINA-9910782119603321 |
|
I͡Akubovich V. A (Vladimir Andreevich)
|
||
| River Edge, NJ, : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||