Geometry of Jacobi curves. II

Journal of Dynamical and Control Systems

Volumn 8, Issue 2, 2002, Pages 167-215

  Agrachev, A ^a,b   Zelenko, I ^c  

^a SISSA   (Italy)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^c TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Comparison theorems; Conjugate points; Flat curves; Lagrange Grassmannian; Symplectic invariants

Indexed keywords

LAGRANGE MULTIPLIERS; LINEAR SYSTEMS; MATRIX ALGEBRA; THEOREM PROVING; VECTORS;

LINEAR MAPPINGS;

GEOMETRY;

EID: 0036553557     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015317426164     Document Type: Article

References (8)

1. A. Agrachev, and I. Zelenko, Geometry of Jacobi curves. I. J. Dynam. Control Systems 8 (2002), No. 1, 93-140.
2. A. A. Agrachev and R. V. Gamkrelidze, Feedback-invariant optimal control theory - I. Regular extremals. J. Dynam. Control Systems 3 (1997), No. 3, 343-389.
3. A. A. Agrachev, Feedback-invariant optimal control theory - II. Jacobi curves for singular extremals. J. Dynam. Control Systems 4 (1998), No. 4, 583-604.
4. A. A. Agrachev and R. V. Gamkrelidze, Symplectic methods in optimization and control. In: Geometry of Feedback and Optimal Control (B. Jakubczyk and W. Respondek, Eds.) Marcel Dekker (1997), 1-58.
5. V.I. Arnold, The Sturm theorems and symplectic geometry. Funktsional Anal. i Prilozhen. 19 (1985), 1-14; English translation: Funct. Anal. Appl. 19 (1985), 251-259.
6. I. Zelenko, Nonregular abnormal extremals of 2-distribution: Existence, second variation and rigidity. J. Dynam. Control Systems 5 (1999), No. 3, 347-383.
7. M. I. Zelikin, Homogeneous spaces and the Riccati equation in the calculus of variations. [Russian] Faktorial, Moscow, 1998. English translation: Control theory and optimization. I. Homogeneous spaces and the Riccati equation in the calculus of variations. Encyclopaedia Math. Scie. 86 (2000), 284 pp.
8. M. I. Zelikin, Homogeneous spaces and the Riccati equation in the calculus of variations. [Russian] Faktorial, Moscow, 1998. English translation: Control theory and optimization. I. Homogeneous spaces and the Riccati equation in the calculus of variations. Encyclopaedia Math. Scie. 86 (2000), 284 pp.