Control methods in PDE-dynamical systems : AMS-IMS-SIAM Joint Summer Research Conference, July 3-7, 2005, Snowbird, Utah / / Fabio Ancona [and three others], editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
Descrizione fisica | 1 online resource (416 p.) |
Disciplina | 515/.353 |
Collana | Contemporary mathematics |
Soggetto topico |
Differential equations, Partial
Differentiable dynamical systems Nonlinear difference equations Control theory |
Soggetto genere / forma | Electronic books. |
ISBN |
0-8218-8105-1
0-8218-3766-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Preface""; ""Asymptotic Stabilization of Systems of Conservation Laws by Controls Acting at a Single Boundary Point""; ""Variational Principles for Finite Dimensional Initial Value Problems""; ""Boundary and Localized Null Controllability of Structurally Damped Elastic Systems""; ""Nonlinear Aeroelasticity Theory: Continuum Models""; ""Stability Issues in the Euler-Korteweg Model""; ""Optimality Conditions for Solutions to Hyperbolic Balance Laws""; ""Long-Time Dynamics of a Semilinear Wave Equation with Nonlinear Interior/Boundary Damping and Sources of Critical Exponents"" |
Record Nr. | UNINA-9910479976503321 |
Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Control methods in PDE-dynamical systems : AMS-IMS-SIAM Joint Summer Research Conference, July 3-7, 2005, Snowbird, Utah / / Fabio Ancona [and three others], editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
Descrizione fisica | 1 online resource (416 p.) |
Disciplina | 515/.353 |
Collana | Contemporary mathematics |
Soggetto topico |
Differential equations, Partial
Differentiable dynamical systems Nonlinear difference equations Control theory |
ISBN |
0-8218-8105-1
0-8218-3766-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Preface""; ""Asymptotic Stabilization of Systems of Conservation Laws by Controls Acting at a Single Boundary Point""; ""Variational Principles for Finite Dimensional Initial Value Problems""; ""Boundary and Localized Null Controllability of Structurally Damped Elastic Systems""; ""Nonlinear Aeroelasticity Theory: Continuum Models""; ""Stability Issues in the Euler-Korteweg Model""; ""Optimality Conditions for Solutions to Hyperbolic Balance Laws""; ""Long-Time Dynamics of a Semilinear Wave Equation with Nonlinear Interior/Boundary Damping and Sources of Critical Exponents"" |
Record Nr. | UNINA-9910788791603321 |
Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Control methods in PDE-dynamical systems : AMS-IMS-SIAM Joint Summer Research Conference, July 3-7, 2005, Snowbird, Utah / / Fabio Ancona [and three others], editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
Descrizione fisica | 1 online resource (416 p.) |
Disciplina | 515/.353 |
Collana | Contemporary mathematics |
Soggetto topico |
Differential equations, Partial
Differentiable dynamical systems Nonlinear difference equations Control theory |
ISBN |
0-8218-8105-1
0-8218-3766-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Preface""; ""Asymptotic Stabilization of Systems of Conservation Laws by Controls Acting at a Single Boundary Point""; ""Variational Principles for Finite Dimensional Initial Value Problems""; ""Boundary and Localized Null Controllability of Structurally Damped Elastic Systems""; ""Nonlinear Aeroelasticity Theory: Continuum Models""; ""Stability Issues in the Euler-Korteweg Model""; ""Optimality Conditions for Solutions to Hyperbolic Balance Laws""; ""Long-Time Dynamics of a Semilinear Wave Equation with Nonlinear Interior/Boundary Damping and Sources of Critical Exponents"" |
Record Nr. | UNINA-9910822592403321 |
Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Geometric control and nonsmooth analysis [[electronic resource] ] : in honor of the 73rd birthday of H. Hermes and of the 71st birthday of R.T. Rockafellar / / edited by Fabio Ancona ... [et al.] |
Pubbl/distr/stampa | Singapore, : Hackensack, NJ, : World Scientific, c2008 |
Descrizione fisica | 1 online resource (376 p.) |
Disciplina | 515/.642 |
Altri autori (Persone) |
AnconaFabio <1964->
HermesHenry <1933-> RockafellarR. Tyrrell <1935-> |
Collana | Series on advances in mathematics for applied sciences ; v. 76 |
Soggetto topico |
Control theory - Research
Nonsmooth optimization - Research Systems engineering - Research |
Soggetto genere / forma | Electronic books. |
ISBN | 981-277-607-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Conference Committees; CONTENTS; Multiscale Singular Perturbations and Homogenization of Optimal Control Problems 0. Alvarez, M. Bardi and C. Marchi; 1. Introduction; 2. Standing assumptions; 3. Ergodicity, stabilization and the effective problem; 3.1. Ergodicity and the effective Hamiltonian; 3.2. Stabilization and the eflective initial data; 4. Regular perturbation of singular perturbation problems; 5. Singular perturbations with multiple scales; 5.1. The three scale case; 5.2. The general case; 6. Iterated homogenization for coercive equations; 7. Examples
7.1. Singular perturbation of a differential game7.2. Homogenization of a deterministic optimal control problem; 7.3. Multiscale singular perturbation under a nonresonance condition; References; Patchy Feedbacks for Stabilization and Optimal Control: General Theory and Robustness Properties F. Ancona and A. Bressan; 1. Introduction; 2. Patchy vector fields and patchy feedbacks; 3. Stabilizing feedback controls; 4. Nearly optimal patchy feedbacks; 5. Robustness; 6. Stochastic perturbations; References; Sensitivity of Control Systems with Respect to Measure- Valued Coefficients Z. Artstein 1. Introduction2. Standing hypotheses; 3. The chattering parameters model; 4. The Prohorov metric; 5 . Sensitivity for relaxed controls; 6. A matching result; 7. Sensitivity for chattering parameters; 8. Remarks and examples; References; Systems with Continuous Time and Discrete Time Components A. Bacciotti; 1. Introduction; 2. Description of the model; 3. Oscillatory systems: an example; 4. Stability notions; 5. A sufficient condition for stability; 6. Sufficient conditions for asymptotic stability; References; A Review on Stability of Switched Systems for Arbitrary Switchings U. Boscain 1. Introduction2. General properties of multilinear systems; 3. Common Lyapunov functions; 4. Two-dimensional bilinear systems; 4.1. The diagonalisable case; 4.1.1. Normal forms in the diagonalizable case; 4.1.2. Stability conditions in the diagonalizable case; 4.2. The nondiagonalizable case; 4.2.1. Normal forms in the nondiagonalizable case; 4.2.2. Stability conditions in the nondiagonalizable case; 5. An open problem; Acknowledgments; References; Regularity Properties of Attainable Sets under State Constraints P. Cannarsa, M. Castelpietra and P. Cardaliaguet; 1. Introduction 2. Maximum principle under state constraints3. Perimeter estimates for the attainable set; References; A Generalized Hopf-Lax Formula: Analytical and Approxi- mations Aspects I. Capuzzo Dolcetta; 1. Introduction; 2. A generalized eikonal equation; 3. The generalized Hopf-Lax formula; 4. The Hopf-Lax formula for the Heisenberg Hamiltonian; 4.1. A singular perturbation problem on the Heisenberg group; 4.2. Convergence rate of finite diflerences approximation; References; Regularity of Solutions to One-Dimensional and Multi- Dimensional Problems in the Calculus of Variations F.H. Clarke 1. Introduction |
Record Nr. | UNINA-9910455262803321 |
Singapore, : Hackensack, NJ, : World Scientific, c2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Geometric control and nonsmooth analysis [[electronic resource] ] : in honor of the 73rd birthday of H. Hermes and of the 71st birthday of R.T. Rockafellar / / edited by Fabio Ancona ... [et al.] |
Pubbl/distr/stampa | Singapore, : Hackensack, NJ, : World Scientific, c2008 |
Descrizione fisica | 1 online resource (376 p.) |
Disciplina | 515/.642 |
Altri autori (Persone) |
AnconaFabio <1964->
HermesHenry <1933-> RockafellarR. Tyrrell <1935-> |
Collana | Series on advances in mathematics for applied sciences ; v. 76 |
Soggetto topico |
Control theory - Research
Nonsmooth optimization - Research Systems engineering - Research |
ISBN | 981-277-607-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Conference Committees; CONTENTS; Multiscale Singular Perturbations and Homogenization of Optimal Control Problems 0. Alvarez, M. Bardi and C. Marchi; 1. Introduction; 2. Standing assumptions; 3. Ergodicity, stabilization and the effective problem; 3.1. Ergodicity and the effective Hamiltonian; 3.2. Stabilization and the eflective initial data; 4. Regular perturbation of singular perturbation problems; 5. Singular perturbations with multiple scales; 5.1. The three scale case; 5.2. The general case; 6. Iterated homogenization for coercive equations; 7. Examples
7.1. Singular perturbation of a differential game7.2. Homogenization of a deterministic optimal control problem; 7.3. Multiscale singular perturbation under a nonresonance condition; References; Patchy Feedbacks for Stabilization and Optimal Control: General Theory and Robustness Properties F. Ancona and A. Bressan; 1. Introduction; 2. Patchy vector fields and patchy feedbacks; 3. Stabilizing feedback controls; 4. Nearly optimal patchy feedbacks; 5. Robustness; 6. Stochastic perturbations; References; Sensitivity of Control Systems with Respect to Measure- Valued Coefficients Z. Artstein 1. Introduction2. Standing hypotheses; 3. The chattering parameters model; 4. The Prohorov metric; 5 . Sensitivity for relaxed controls; 6. A matching result; 7. Sensitivity for chattering parameters; 8. Remarks and examples; References; Systems with Continuous Time and Discrete Time Components A. Bacciotti; 1. Introduction; 2. Description of the model; 3. Oscillatory systems: an example; 4. Stability notions; 5. A sufficient condition for stability; 6. Sufficient conditions for asymptotic stability; References; A Review on Stability of Switched Systems for Arbitrary Switchings U. Boscain 1. Introduction2. General properties of multilinear systems; 3. Common Lyapunov functions; 4. Two-dimensional bilinear systems; 4.1. The diagonalisable case; 4.1.1. Normal forms in the diagonalizable case; 4.1.2. Stability conditions in the diagonalizable case; 4.2. The nondiagonalizable case; 4.2.1. Normal forms in the nondiagonalizable case; 4.2.2. Stability conditions in the nondiagonalizable case; 5. An open problem; Acknowledgments; References; Regularity Properties of Attainable Sets under State Constraints P. Cannarsa, M. Castelpietra and P. Cardaliaguet; 1. Introduction 2. Maximum principle under state constraints3. Perimeter estimates for the attainable set; References; A Generalized Hopf-Lax Formula: Analytical and Approxi- mations Aspects I. Capuzzo Dolcetta; 1. Introduction; 2. A generalized eikonal equation; 3. The generalized Hopf-Lax formula; 4. The Hopf-Lax formula for the Heisenberg Hamiltonian; 4.1. A singular perturbation problem on the Heisenberg group; 4.2. Convergence rate of finite diflerences approximation; References; Regularity of Solutions to One-Dimensional and Multi- Dimensional Problems in the Calculus of Variations F.H. Clarke 1. Introduction |
Record Nr. | UNINA-9910778072103321 |
Singapore, : Hackensack, NJ, : World Scientific, c2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Geometric control and nonsmooth analysis : in honor of the 73rd birthday of H. Hermes and of the 71st birthday of R.T. Rockafellar / / edited by Fabio Ancona ... [et al.] |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Singapore, : Hackensack, NJ, : World Scientific, c2008 |
Descrizione fisica | 1 online resource (376 p.) |
Disciplina | 515/.642 |
Altri autori (Persone) |
AnconaFabio <1964->
HermesHenry <1933-> RockafellarR. Tyrrell <1935-> |
Collana | Series on advances in mathematics for applied sciences ; v. 76 |
Soggetto topico |
Control theory - Research
Nonsmooth optimization - Research Systems engineering - Research |
ISBN | 981-277-607-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Conference Committees; CONTENTS; Multiscale Singular Perturbations and Homogenization of Optimal Control Problems 0. Alvarez, M. Bardi and C. Marchi; 1. Introduction; 2. Standing assumptions; 3. Ergodicity, stabilization and the effective problem; 3.1. Ergodicity and the effective Hamiltonian; 3.2. Stabilization and the eflective initial data; 4. Regular perturbation of singular perturbation problems; 5. Singular perturbations with multiple scales; 5.1. The three scale case; 5.2. The general case; 6. Iterated homogenization for coercive equations; 7. Examples
7.1. Singular perturbation of a differential game7.2. Homogenization of a deterministic optimal control problem; 7.3. Multiscale singular perturbation under a nonresonance condition; References; Patchy Feedbacks for Stabilization and Optimal Control: General Theory and Robustness Properties F. Ancona and A. Bressan; 1. Introduction; 2. Patchy vector fields and patchy feedbacks; 3. Stabilizing feedback controls; 4. Nearly optimal patchy feedbacks; 5. Robustness; 6. Stochastic perturbations; References; Sensitivity of Control Systems with Respect to Measure- Valued Coefficients Z. Artstein 1. Introduction2. Standing hypotheses; 3. The chattering parameters model; 4. The Prohorov metric; 5 . Sensitivity for relaxed controls; 6. A matching result; 7. Sensitivity for chattering parameters; 8. Remarks and examples; References; Systems with Continuous Time and Discrete Time Components A. Bacciotti; 1. Introduction; 2. Description of the model; 3. Oscillatory systems: an example; 4. Stability notions; 5. A sufficient condition for stability; 6. Sufficient conditions for asymptotic stability; References; A Review on Stability of Switched Systems for Arbitrary Switchings U. Boscain 1. Introduction2. General properties of multilinear systems; 3. Common Lyapunov functions; 4. Two-dimensional bilinear systems; 4.1. The diagonalisable case; 4.1.1. Normal forms in the diagonalizable case; 4.1.2. Stability conditions in the diagonalizable case; 4.2. The nondiagonalizable case; 4.2.1. Normal forms in the nondiagonalizable case; 4.2.2. Stability conditions in the nondiagonalizable case; 5. An open problem; Acknowledgments; References; Regularity Properties of Attainable Sets under State Constraints P. Cannarsa, M. Castelpietra and P. Cardaliaguet; 1. Introduction 2. Maximum principle under state constraints3. Perimeter estimates for the attainable set; References; A Generalized Hopf-Lax Formula: Analytical and Approxi- mations Aspects I. Capuzzo Dolcetta; 1. Introduction; 2. A generalized eikonal equation; 3. The generalized Hopf-Lax formula; 4. The Hopf-Lax formula for the Heisenberg Hamiltonian; 4.1. A singular perturbation problem on the Heisenberg group; 4.2. Convergence rate of finite diflerences approximation; References; Regularity of Solutions to One-Dimensional and Multi- Dimensional Problems in the Calculus of Variations F.H. Clarke 1. Introduction |
Record Nr. | UNINA-9910822837203321 |
Singapore, : Hackensack, NJ, : World Scientific, c2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Transport equations and multi-D hyperbolic conservation laws [[electronic resource] /] / Luigi Ambrosio ... [et al.] ; editors, Fabio Ancona ... [et al.] |
Edizione | [1st ed. 2008.] |
Pubbl/distr/stampa | Berlin ; ; New York, : Springer, c2008 |
Descrizione fisica | 1 online resource (142 p.) |
Disciplina | 515/.782 |
Altri autori (Persone) |
AmbrosioLuigi
AnconaFabio <1964-> |
Collana | Lecture notes of the Unione Matematica Italiana |
Soggetto topico |
Conservation laws (Mathematics)
Differential equations, Hyperbolic |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-23169-X
9786611231699 3-540-76781-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | I -- Existence, Uniqueness, Stability and Differentiability Properties of the Flow Associated to Weakly Differentiable Vector Fields -- II -- A Note on Alberti's Rank-One Theorem -- III -- Regularizing Effect of Nonlinearity in Multidimensional Scalar Conservation Laws. |
Record Nr. | UNINA-9910451718003321 |
Berlin ; ; New York, : Springer, c2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Transport equations and multi-D hyperbolic conservation laws [[electronic resource] /] / Luigi Ambrosio ... [et al.] ; editors, Fabio Ancona ... [et al.] |
Edizione | [1st ed. 2008.] |
Pubbl/distr/stampa | Berlin ; ; New York, : Springer, c2008 |
Descrizione fisica | 1 online resource (142 p.) |
Disciplina | 515/.782 |
Altri autori (Persone) |
AmbrosioLuigi
AnconaFabio <1964-> |
Collana | Lecture notes of the Unione Matematica Italiana |
Soggetto topico |
Conservation laws (Mathematics)
Differential equations, Hyperbolic |
ISBN |
1-281-23169-X
9786611231699 3-540-76781-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | I -- Existence, Uniqueness, Stability and Differentiability Properties of the Flow Associated to Weakly Differentiable Vector Fields -- II -- A Note on Alberti's Rank-One Theorem -- III -- Regularizing Effect of Nonlinearity in Multidimensional Scalar Conservation Laws. |
Record Nr. | UNINA-9910782092703321 |
Berlin ; ; New York, : Springer, c2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Transport equations and multi-D hyperbolic conservation laws / / Luigi Ambrosio ... [et al.] ; editors, Fabio Ancona ... [et al.] |
Edizione | [1st ed. 2008.] |
Pubbl/distr/stampa | Berlin ; ; New York, : Springer, c2008 |
Descrizione fisica | 1 online resource (142 p.) |
Disciplina | 515/.782 |
Altri autori (Persone) |
AmbrosioLuigi
AnconaFabio <1964-> |
Collana | Lecture notes of the Unione Matematica Italiana |
Soggetto topico |
Conservation laws (Mathematics)
Differential equations, Hyperbolic |
ISBN |
1-281-23169-X
9786611231699 3-540-76781-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | I -- Existence, Uniqueness, Stability and Differentiability Properties of the Flow Associated to Weakly Differentiable Vector Fields -- II -- A Note on Alberti's Rank-One Theorem -- III -- Regularizing Effect of Nonlinearity in Multidimensional Scalar Conservation Laws. |
Record Nr. | UNINA-9910810090903321 |
Berlin ; ; New York, : Springer, c2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|